| pi^e, Norman Schaumberger, 16:4, 1985, 280, C Using Riemann Sums in Evaluating a Familiar Limit, Frank Burk, 17:2, 1986, 170-171, C, 5.1.1, 5.2.1 The Change of Base Formula for Logarithms, Chris Freiling, 17:5, 1986, 413, C, 0.2 Comparing B^A and A^B for A>B, John Rosendahl and James Gilmore, 18:1, 1987, 50, C Behold! The Graphs of f and f inverse are Reflections about the Line y=x, Ayoub B. Ayoub, 18:1, 1987, 52, C, 0.2 A Depreciation Model for Calculus Classes, John C. Hegarty, 18:3, 1987, 219-221, C The Relationship Between Hyperbolic and Exponential Functions, Roger B. Nelsen, 19:1, 1988, 54-56, C, 5.3.3 An Efficient Logarithm Algorithm for Calculators, James C. Kirby, 19:3, 1988, 257-260, C, 9.6 The Age of the Solar System, Winston Phrobis, 21:5, 1990, 399-400, C The Snowplow Problem Revisited, Xiao-peng Xu, 22:2, 1991, 139, C, 6.1 FFF #44. A New Way to Obtain the Logarithm, Ed Barbeau, 22:5, 1991, 403, F Four Crotchets on Elementary Integration, Leroy F. Meyers, 22:5, 1991, 410-413, C, 5.2.3, 5.2.5, 6.1 FFF #49. Two Transcendental Equations, Ed Barbeau, 23:1, 1992, 36, F, 0.2 The Relationship Between Hyperbolic and Exponential FunctionsRevisited, Roger B. Nelsen, 23:3, 1992, 207-208, C, 5.3.3 Napier's Inequality (two proofs), Roger B. Nelsen, 24:2, 1993, 165, C FFF #58. A Rational Combination of Two Transcendentals, Ed Barbeau, 24:3, 1993, 229, F, 0.2 FFF #60. A Two-Valued Function, Ed Barbeau, 24:3, 1993, 230, F, 0.2 An Alternative Definition of the Number e, Carl Swenson and Andre Yandl, 24:5, 1993, 458-461 Another Proof of the Formula e = the infinite sum of reciprocals of n!, Norman Schaumberger, 25:1, 1994, 38-39, C, 5.1.2 Riemann Sums and the Exponential Function, Sheldon P. Gordon, 25:1, 1994, 39-40, C, 5.2.1 Log Cabin (Lost at C), Paul R. Halmos, 25:1, 1994, 70, C Proof Without Words: (a+b)/2 is greater than the square root of ab, Michael K. Brozinsky, 25:2, 1994, 98, C FFF #95. The Integral of ln sin x, Russ Euler, 27:1, 1996, 44-45, F A Visual Proof that ln(ab) = ln(a) + ln(b), Jeffrey Ely, 27:4, 1996, 304, C FFF #115. A Double Exponential Function, Leszek Garwarecki, 28:2, 1997, 120-121, F A Discover-e, Helen Skala, 28:2, 1997, 128-129, C In re: e, David Fowler, 28:3, 1997, 230, C FFF #126. The Wrong Logarithm, Eric Chandler, 29:1, 1998, 35, F 5.3.3 Hyperbolic functions and their inverses Hyperbolic Functions, David Bender, 6:3, 1975, 42-45, C Using Inverse Functions in Integration, Robert C. Crawford, 8:2, 1977, 107-109, C, 5.3.2 Euclid's 'Elements' -excerpts from a 1660 edition, 12:2, 1981, 117, 0.3, 5.3.2 Evaluating the integrals of sec x dx and (sec x) ^3 dx, Bruce Sommer and Norman Schaumberger, 14:3, 1983, 256-257, C, 5.2.5 Inverse Hyperbolic Functions as Areas, B.M.Saler, 16:2, 1985, 129-131, C Some Interesting Consequences of a Hyperbolic Inequality, Frank Burk, 17:1, 1986, 75-76, C Elementary Transcendental Functions, Harley Flanders and J. Sutherland Frame, 18:5, 1987, 417-421, 6.3 The Relationship Between Hyperbolic and Exponential Functions, Roger B. Nelsen, 19:1, 1988, 54-56, C, 5.3.2 FFF #17. cosh x = sinh x and 1 = 0, Ed Barbeau, 21:2, 1990, 128, F, 5.2.5 The Relationship Between Hyperbolic and Exponential Functions Revisited, Roger B. Nelsen, 23:3, 1992, 207-208, C, 5.3.2 Hyperbolic Functions and Proper Time in Relativity, Howard Shaw, 26:4, 1995, 312-315, C 5.3.4 Special functions 5.4 Sequences and series 5.4.1 Sequences A General Formula for the Nth term of a Sequence, Etta Mae Whitton, 2:2, 1971, 96-98, 6.3 Fibonacci Numbers and Pineapple Phyllotaxy, Judithlynne Carson, 9:3, 1978, 132-136, 9.2 Two Unusual Sequences, Ronald E. Kutz, 12:5, 1981, 316-319 Isomorphisms on Magic Squares, Ali R. Amir-Moez, 14:1, 1983, 48-51, 0.2, 9.2, 9.3 A Simple Calculator Algorithm, Lyle Cook and James McWilliam, 14:1, 1983, 52-54 Application of a Generalized Fibonacci Sequence, Curtis Cooper, 15:2, 1984, 145-146, C, 7.2 The Electronic Spreadsheet and Mathematical Algorithms, Deane E. Arganbright, 15:2, 1984, 148-157, 4.1, 7.3, 9.6 Another Look at x^(1/x ), Norman Schaumberger, 15:3, 1984, 249-250, C, 5.1.2 Pascal's Triangle, Difference Tables and Arithmetic Sequences of Order N, Calvin Long, 15:4, 1984, 290-298, 6.3, 3.2, 9.2 The Factorial Triangle and Polynomial Sequences, Steven Schwartzman, 15:5, 1984, 424-426, C, 0.2, 6.3 Arithmetic Progressions and the Consumer, John D. Baildon, 16:5, 1985, 395-397, C, 0.8 The Pascal Polytope: An Extension of Pascal's Triangle to N Dimensions, John F. Putz, 17:2, 1986, 144-155, 3.2, 6.3, 9.2 The Root-Finding Route to Chaos, Richard Parris, 22:1, 1991, 48-55, 6.3, 9.5 Using the Finite Difference Calculus to Sum Powers of Integers, Lee Zia, 22:4, 1991, 294-300, 5.2.1, 5.4.2 Summation by Parts, Gregory Fredricks and Roger B. Nelsen, 23:1, 1992, 39-42, C, 5.1.2, 5.4.2, 9.3 A Sequence Related to the Harmonic Series, E. Ray Bobo, 26:4, 1995, 308-310, C Another Way to Graph a Sequence, David Olson, 27:3, 1996, 208-209, C 5.4.2 Numerical series (convergence tests and summation) Encouraging Mathematical Inquisitiveness, Carl L. Main, 1:1, 1970, 32-36, 5.2.2 Telescoping Sums and the Summation of Sequences, G. Baley Price, 4:2, 1973, 16-29, 6.3 Calculus by Mistake, Louise S. Grinstein, 5:4, 1974, 49-53, C, 5.1.2, 5.1.4, 5.2.2, 5.2.3, 5.2.5, 5.2.10, 5.6.1, 5.7.2 A Precalculus Unit on Area Under Curves, Samuel Goldberg, 6:4, 1975, 29-35, 0.7 An Interesting Use of Generating Functions, Aron Pinker, 6:4, 1975, 39-45, 0.6, 9.5 A Helpful Device: or One More Use for Pascal's Triangle, Robert Rosenfeld, 8:3, 1977, 188-191, C, 0.9 A Coin Game, Thomas P. Dence, 8:4, 1977, 240-246, 9.9, 9.10 Geometric Series on the Gridiron, Andris Niedra, 9:1, 1978, 18-20 A Note on Infinite Series, Louise S. Grinstein, 9:1, 1978, 46-47, C A Note on the Integral Test, Peter A. Lindstrom, 9:2, 1978, 105-106, C Flow Chart for Infinite Series, Thomas W. Shilgalis, 9:3, 1978, 191, C On Sum-Guessing, Mangho Ahuja, 10:2, 1979, 95-99 The Sum of the Reciprocals of the Primes, W.G.Leavitt, 10:3, 1979, 198-199, C Calculator-Demonstrated Math Instruction, George McCarty, 11:1, 1980, 42-48, 5.1.1, 5.2.2, 9.6 An Investment Approach to Geometric Series, Robert Donaghey and Warren Gordon, 11:2, 1980, 120-121, C A Precalculus Approximation of n!, Norman Schaumberger, 11:3, 1980, 202-204, C, 0.2 Summation of Finite SeriesA Unified Approach, Shlomo Libeskind, 12:1, 1981, 41-50, 6.3 Some Sum of Sums, Gerald Lenz, 12:3, 1981, 208-209, C The Saint Petersburg Paradox and Some Related Series, Allan J. Caesar, 12:5, 1981, 306-308 Infinite Series Flow Chart for the Sum of a(n), Franklin Kemp, 13:3, 1982, 199, C Taxes on Taxes, Thomas E. Eisner, 13:4, 1982, 266-269 A Simple Explicit Formula for the Bernoulli Numbers, F. Lee Cook, 13:4, 1982, 273-274, C The Sums of Zeroes of Polynomial Derivatives, Michael W. Ecker, 13:5, 1982, 328-329, C, 0.7, 5.1.2 Closed-Form Formulas for Quasi-Geometric Series, Arthur C. Segal, 14:2, 1983, 118-122 Sequences, Series and Pascal's Triangle, Lenny K. Jones, 14:3, 1983, 253-256, C, 6.3 On Sums of Powers of Natural Numbers, Myren Krom, 14:4, 1983, 349-351, C, 9.1 Instant Hindsight!, Norman Schaumberger, 14:4, 1983, 351, C Evaluating e^x Using Limits, Sheldon P. Gordon, 15:1, 1984, 63-65, 5.3.2 On Problems with Solutions Attainable in More Than One Way, Jean Pedersen and George Polya, 15:3, 1984, 218-228, 0.2, 0.4 An Almost Correct Series, R.A.Mureika and R.D.Small, 15:4, 1984, 334-338, 9.6 A Monte Carlo Simulation Related to the St. Petersburg Paradox, Allan J. Caesar, 15:4, 1984, 339-342, 7.2, 9.10 Approximate Angle Trisection, David Gauld, 15:5, 1984, 420-422, 0.6 Inverse Functions, Ralph P. Boas, 16:1, 1985, 42-47, 5.2.1, 5.3.2 On Rearrangements of the Alternating Harmonic Series, Fon Brown and L.O.Cannon and Joe Elich and David G. Wright, 16:2, 1985, 135-138, C A Discrete Look at 1 + 2 + ... + n, Loren C. Larson, 16:5, 1985, 369-382, 0.2, 0.9, 3.1, 3.2, 6.3 Cantor's Disappearing Table, Larry E. Knop, 16:5, 1985, 398-399, C Sums of Rearranged Series, Paul Schaefer, 17:1, 1986, 66-70 How Far Can You Stick Out Your Neck?, Sydney C.K.Chu and Man-Keung Siu, 17:2, 1986, 122-132, 9.6 Counterexamples to a Comparison Test for Alternating Series, J. Richard Morris, 17:2, 1986, 165-166, C A Case of True Interest, Soo Tang Tan, 17:3, 1986, 247-248, C, 0.8 Another Approach to a Class of Slowly Diverging Series, Norman Schaumberger, 17:5, 1986, 417, C Computer Algebra Systems in Undergraduate Mathematics, Don Small and John Hosack and Kenneth Lane, 17:5, 1986, 423-433, 1.2, 5.1.4, 5.1.5, 5.2.2 The Bernoullis and the Harmonic Series, William Dunham, 18:1, 1987, 18-23, 2.2 Pi/4 and ln 2 Recursively, Frank Burk, 18:1, 1987, 51, C, 5.2.5 Behold! Sums of Arctan, Edward M. Harris, 18:2, 1987, 141, C Generating Functions, William Watkins, 18:3, 1987, 195-211, 6.3, 9.3 Computing Pi, Harley Flanders, 18:3, 1987, 230-235, 5.2.3, 8.1 A Shorter, More Efficient Proof of the limit as n goes to infinity of [(n!)^(1/n)] / n = 1/e, Joseph Wiener, 18:4, 1987, 319, C A Simple Proof of Series Convergence, A.R.Amir-Moez, 18:5, 1987, 410, C Estimating the Sum of Alternating Series, James D. Harper, 19:2, 1988, 149-154 Subharmonic Series, Arthul C. Sogal, 20:3, 1989, 194-200, 9.5 The Power Rule and the Binomial Formula, Stephen H. Friedberg, 20:4, 1989, 322, C, 5.1.2 Evaluating the Sum of the Series Sum(k^j / M^k), Alan Gorfin, 20:4, 1989, 329-331, C Sum the Alternating Harmonic Series, Dave P. Kraines and Vivian Y. Kraines and David A. Smith, 20:5, 1989, 433-435, C, 1.2 Using the Finite Difference Calculus to Sum Powers of Integers, Lee Zia, 22:4, 1991, 294-300, 5.2.1, 5.4.1 The Sum is 1, John H. Mathews, 22:4, 1991, 322, C Summation by Parts, Gregory Fredricks and Roger B. Nelsen, 23:1, 1992, 39-42, C, 5.1.2, 5.4.1, 9.3 Summing Geometric Series by Holding a Tournament, Vincent P. Schielack, 23:3, 1992, 210-211, C Six Ways to Sum a Series, Dan Kalman, 24:5, 1993, 402-421, 9.5 The Series n^m times x^n and a Pascal-like Triangle, David Neal, 25:2, 1994, 99-101 Sum of Squares via the Centroid, Sydney H. Kung, 25:2, 1994, 111, C Approaches to the Formula for the nth Fibonacci Number, Russell Jay Hendel, 25:2, 1994, 139-142, C, 0.2, 4.5, 9.3, 9.5 FFF #76. Telescoping Series, Eleanor A. Maddock, 25:4, 1994, 309, F FFF. Pi is approximately ln 4, Frank Burk, 25:4, 1994, 311, F Sum of Alternating Series (proof by picture), Guanshen Ren, 26:3, 1995, 213, 0.9 Divergence of a Series (by picture), Sidney H. Kung, 26:4, 1995, 301, C Sums of General Geometric Series (by picture), John Mason, 26:5, 1995, 381, C FFF #106. The Derivative of the Sum Is the Sum of the Derivatives, Ed Barbeau, 27:4, 1996, 282, F Bargaining Theory, or Zeno's Used Cars, James C. Kirby, 27:4, 1996, 285-286, C, 6.3 FFF #111. The Bouncing Ball, Daniel J. Scully, 27:5, 1996, 372-373, F Some Sums of Some Significance, Martha E. Dasef and Steven M. Kautz, 28:1, 1997, 52-55, C Divergence of the Harmonic Series by Rearrangement, Michael W. Ecker, 28:3, 1997, 209-210, C Neither a Worst Convergent Series nor a Best Divergent Series Exists, J. Marshall Ash, 28:4, 1997, 296-297, C Using Simpson's Rule to Approximate Sums of Infinite Series, Rick Kreminski, 28:5, 1997, 368-376 Can You Sum This Familiar Series? (Proof Without Words), Dennis Gittinger, 28:5, 1997, 393, C Sum of Cubes (proof without words), Alfinio Flores, 29:1, 1998, 61, C Who Cares if X2 + 1 = Has a Solution?, Viet Ngo and Saleem Watson, 29:2, 1998, 141-144, C, 0.7, 5.2.5, 6.2 FFF #135. Positive Series with a Negative Sum, William A. Simpson, 29:5, 1998, 407, F A Novel Approach to Geometric Series, Michael W. Ecker, 29:5, 1998, 419-420, C 5.4.3 Taylor polynomials and power series Uniqueness of Power Series Representations, Garfield C. Schmidt, 12:1, 1981, 54-56, C, 9.5 Power Series for Practical Purposes, Ralph Boas, 13:3, 1982, 191-195, 9.5 Extending the Series for ln 2, Norman Schaumberger, 18:3, 1987, 223-225, C More on the Series for ln 2, Leonard Gillman, 19:3, 1988, 252-253, C Spreadsheets, Power Series, Generating Functions, and Integers, Donald R. Snow, 20:2, 1989, 143-152, 6.3 Power Series and Exponential Generating Functions, G. Ervynck and P. Igodt, 20:5, 1989, 411-415, C, 9.5 Taylor Polynomials, David P. Kraines and Vivian Y. Kraines and David A. Smith, 20:5, 1989, 435-436, C, 1.2 FFF #20. A Power Series Representation of 1=0, Ed Barbeau, 21:3, 1990, 217, F FFF #28. More fun with Series, log 2 = 1/2 log 2, Ed Barbeau, 21:5, 1990, 395-396, F (also 23:1, 1992, 38 and 24:3, 1993, 231) Who Needs the Sine Anyway?, Carlos C. Huerta, 23:1, 1992, 43-44, C Approximating Series, Raymond J. Collins, 23:2, 1992, 153-157, C Taylor Polynomial Approximations in Polar Coordinates, Sheldon P. Gordon, 24:4, 1993, 325-330, 5.6.1 Maclaurin Expansion of Arctan x via L'Hopital's Rule, Russell Euler, 24:4, 1993, 347-350, C, 5.1.1 Isaac Newton: Credit Where Credit Won't Do, Robert Weinstock, 25:3, 1994, 179-192, 0.5, 2.2, 5.1.3, 5.6.1 In Defense of Newton: His Biographer Replies, Richard S. Westfall, 25:3, 1994, 201-205, 2.2 FFF #83. Power Series Thinning, David Rose, 26:1, 1995, 35, F (also 26:5, 1995, 384) Newton's Method for Resolving Affected Equations, Chris Christensen, 27:5, 1996, 330-340, 0.7, 5.1.2 On Dividing Coconuts: A Linear Diophantine Problem, Sahib Singh and Dip Bhattacharya, 28:3, 1997, 203-204, C, 9.3 A Note on Taylor's Series for sin(ax+b) and cos(ax+b), Russell Euler, 28:4, 1997, 297-298, C Taylor Polynomials for Rational Functions, Mike O'Leary, 29:3, 1998, 226-228, C 5.5 Vector algebra and geometry (including 2x2 and 3x3 determinants) CorrelationA Vector Approach, Kenneth R. Kundert, 11:1, 1980, 52, C, 7.3 A Note on the Vector Triple Product, Thomas A. McCullough, 11:3, 1980, 206-207, C >From an Inequality to Inversion, Man-Keung Siu, 12:2, 1981, 149-151, C, 0.4 Partial and Semipartial Correlation-A Vector Approach, John Huber, 12:2, 1981, 151-153, C, 7.3 Vector Identities from Quaternions, William C. Schultz, 12:4, 1981, 271-273, C, 9.4 Generalized Pythagorean Triples, W.J.Hildebrand, 16:1, 1985, 48-52, 0.6, 9.3 Tetrahedra, Skew Lines and Volume, James Smith and Mason Henderson, 16:2, 1985, 138-140, C An Alternate Proof of the Vector Triple Product Formula, William C. Schultz, 17:1, 1985, 73-74, C Three Ways to Maximize the Area of an Inscribed Quadrilateral, Leroy F. Meyers, 17:3, 1986, 238-239, C, 0.3 Distance from a Point to a Plane with a Variation on the Pythagorean Theorem, Abdus Sattar Gazdar, 23:5, 1992, 410-412, C Kepler Orbits More Geometrico, Andrew Lenard, 25:2, 1994, 90-98, 0.3 On the Distance from a Point to a Curve, Mark Schwartz, 25:4, 1994, 317-319, C Formulas of Linear Geometry, Heinrich W. Guggenheimer, 27:1, 1996, 24-32 A Geometric View of a Vector Identity, Yukio Kobayashi, 29:4, 1998, 309-310, C Differential Forms for Constrained Max-Min Problems: Eliminating Lagrange Multipliers, Frank Zizza, 29:5, 1998, 387-396, 5.7.1 Computation of Planetary Orbits, Donald A. Teets and Karen Whitehead, 29:5, 1998, 397-404, 5.6.1 5.6 Curves and surfaces 5.6.1 Parametric and polar curves Calculus by Mistake, Louise S. Grinstein, 5:4, 1974, 49-53, C, 5.1.2, 5.1.4, 5.2.2, 5.2.3, 5.2.5, 5.2.10, 5.4.2, 5.7.2 Rectangular Aids for Polar Graphs, Alice W. Essary, 13:3, 1982, 200-205, 5.2.8 Roots of Polynomials and Loci, Ali R. Amir-Moez, 14:4, 1983, 313-317, 0.5 Mathematical Discovery via Computer Graphics: Hypocycloids and Epicycloids, Florence S. Gordon and Sheldon P. Gordon, 15:5, 1984, 440-443 On Hypocycloids and their Diameters, I.J.Schoenberg, 16:4, 1985, 262-267, 9.5 Vectors in a LOGO Learning Environment, Will Watkins, 16:4, 1985, 286-300 Defining Areas in Polar Coordinates, Frances W. Lewis, 17:5, 1986, 414-416, C Transitions, Jeanne L. Agnew and James R. Choike, 18:2, 1987, 124-133, 0.7, 5.1.3, 9.10 FFF #4. Area of an Ellipse, Ed Barbeau, 20:2, 1989, 132-133, F, 0.5 (also 20:3, 1989, 227) Connecting the Dots Parametrically: An Alternative to Cubic Splines, Wilbur J. Hildebrand, 21:3, 1990, 208-215, 4.6, 9.6 Moments on a Rose Petal, Douglass L. Grant, 21:3, 1990, 225-227, C, 5.2.5 Single Equations Can Draw Pictures, Keith M. Kendig, 22:2, 1991, 134-139, C, 0.4, 0.5, 5.1.5, 5.6.2 Trochoids, Roses, and ThornsBeyond the Spirograph, Leon M. Hall, 23:1, 1992, 20-35 Rotation of AxesNot Just for Conics, Steven Schonefeld, 23:5, 1992, 418-425, 0.5 Taylor Polynomial Approximations in Polar Coordinates, Sheldon P. Gordon, 24:4, 1993, 325-330, 5.4.3 Does a Parabola Have an Asymptote?, David Bange and Linda Host, 24:4, 1993, 331-342, 5.1.1, 5.1.5 Heart to Bell (illustration), Michael W. Chamberlain, 25:1, 1994, 34 Isaac Newton: Credit Where Credit Won't Do, Robert Weinstock, 25:3, 1994, 179-192, 0.5, 2.2, 5.1.3, 5.4.3 In Defense of Newton: A Physicist's View, A. P. French, 25:3, 1994, 206-209, 0.5, 2.2 Parametric Equations and Planar Curves, Kirby C. Smith and Vincent P. Schielack, 25:4, 1994, 319-321, C FFF #81. Throwing Another Fallacy out the Window (Using Minimum Energy), Paul Deiermann and Rick Mabry, 25:5, 1994, 434, F (also 26:5, 1995, 383) The Chair, the Area Rug, and the Astroid, Mark Schwartz, 26:3, 1995, 229-231, C, 5.1.4 FFF #91. A Perpetual Motion Matchine, Eric Chandler, 26:4, 1995, 302-303, F Rectangular-to-Polar Folding Fans, Dan Pritikin, 26:4, 1995, 305-308, C FFF #99. Polar Increment of Area, Peter Jarvis and Paul Schuette, 27:2, 1996, 117, F, 5.2.6 Some Comments on "Parametric Equations and Plane Curves", Zhibo Chen, 27:3, 1996, 210-211, C A Note on the Brachistochrone Problem, Jim Zeng, 27:3, 1996, 206-208, C Mercator's Rhumb Lines: A Multivariable Application of Arc Length, John Nord and Edward Miller, 27:5, 1996, 384-387, C, 5.2.8 A Rose is a Rose is a Rose ..., Melissa Shepard, 28:1, 1997, 55-56, C An Envelope for a Spirograph, Andrew Simoson, 28:2, 1997, 134-139 Visualizing the Geometry of Lissajous Knots, John Meier and Jessica Wolfson, 28:3, 1997, 211-216, 9.8 The Coffee Cup Caustic for Calculus Students, Brian J. Loe and Nathaniel Beagley, 28:4, 1997 Designing a Baseball Cover, Richard B. Thompson, 29:1, 1998, 48-61 Numerically Parametrizing Curves, Steven Wilkinson, 29:2, 1998, 104-119, 5.6.2, 9.8 Pursuit and Regular N-gons, Michael J. Seery, 29:3, 1998, 228-229, C Computation of Planetary Orbits, Donald A. Teets and Karen Whitehead, 29:5, 1998, 397-404, 5.5 MATH and Other Four-Letter Words, Marc D. Sanders and Barry A. Tesman, 29:5, 1998, 418-419, C 5.6.2 Surfaces and coordinate systems in space Parametric Surfaces, Harley Flanders, 19:5, 1988, 444-447, 5.6.1, 8.3 Graphing Surfaces in Cylindrical and Spherical Coordinates, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:2, 1990, 144-145, C Contour MapsA Visual Experience, Helen Skala, 22:3, 1991, 241-244 Least Squares and Quadric Surfaces, Donald Teets, 24:3, 1993, 243-244, C, 5.7.1, 7.3 FFF #77. Generalizing an Approach to the Radius of Curvature, Paul Deiermann and Rick Mabry, 25:4, 1994, 309-310, F An Archimedean Property of the Bicylinder, Duane W. DeTemple, 25:4, 1994, 312-314, C Spherical Coordinates from Cylindrical Coordinates on a Torus, Timothy Murdoch, 26:5, 1995, 385-387, C Doughnut Slicing, Wolf von Ronik, 28:5, 1997, 381-383, C, 0.5 Numerically Parametrizing Curves, Steven Wilkinson, 29:2, 1998, 104-119, 5.6.1, 9.8 5.7 Multivariable calculus 5.7.1 Multivariable differential calculus An Alternate Proof of the Equality of the Mixed Partial Derivatives, Gerard P. Protomastro, 7:4, 1976, 47-48, C Income Tax Averaging and Convexity, Michael Henry and G.E.Trapp, Jr., 15:3, 1984, 253-255, C, 0.8, 5.1.5, 9.5 Interactive Graphics for Multivariable Calculus, Michael E. Frantz, 17:2, 1986, 172-181, 1.2, 5.1.1, 5.1.4 Moire Fringes and the Conic Sections, M.R.Cullen, 21:5, 1990, 370-378, 0.5, 0.5, 0.5 Extreme and Saddle Points, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:5, 1990, 416-418, C, 5.1.4 'Hidden' Boundaries in Constrained Max-Min Problems, Herbert R. Bailey, 22:3, 1991, 227-229, C Calculus and Computer Vision, Mark Bridger, 23:2, 1992, 132-141, 8.3 Relative Maxima or Minima for a Function of Two Variables: A Neglected Approach, Paul Chacon, 23:2, 1992, 145-146, C Erratum: Relative Maxima or Minima for a Function of Two Variables, The Editors, 23:4, 1992, 314, C FFF #57. The Conservation of Energy, Ed Barbeau, 23:5, 1992, 405, F A Computer Lab for Multivariate Calculus, Casper R. Curjel, 24:2, 1993, 175-177, C, 1.2, 8.3 Least Squares and Quadric Surfaces, Donald Teets, 24:3, 1993, 243-244, C, 5.6.2, 7.3 FFF #64. Polar Paradox?, Ed Barbeau, 24:4, 1993, 344, F FFF #68. Variable Results with Partial Differentiation, Hugh Thurston, 25:1, 1994, 35-36, F Calculus in the Brewery, Susan Jane Colley, 25:3, 1994, 226-227, C Individualized Computer Investigatins for Multivariable Calculus, Larry Riddle, 26:3, 1995, 235-237 Presenting the Kuhn-Tucker Conditions Using a Geometric Approach, Patrick J. Driscoll and William P. Fox, 27:2, 1996, 101-108, 9.9 Why Polynomials Have Roots, Javier Gomez-Calderon and David M. Wells, 27:2, 1996, 90-94, 5.1.2, 9.5 Will the Real Best Fit Curve Please Stand Up?, Helen Skala, 27:3, 1996, 220-223, C, 7.3 Real Analysis in the Brewery, Sidney Kravitz, 27:3, 1996, C Using the College Mathematics Journal Topic Index in Undergraduate Courses, Donald E. Hooley, 28:2, 1997, 106-109, 4.1, 4.2, 5.1.4 Multiple Derivatives of Compositions: Investigating Some Special Cases, Irl C. Bivens, 28:4, 1997, 299-300, 3.2 Counterexamples to a Weakened Version of the Two-Variable Second Derivative Test, Allan A. Struthers, 28:5, 1997, 383-385, C Unifying a Family of Extrema Problems, William Barnier and Douglas Martin, 28:5, 1997, 388-391, C Paths of Minimum Length in a Regular Tetrahedron, Richard A. Jacobson, 28:5, 1997, 394-397, C, 0.4 The Long Arm of Calculus, Ethan Berkove and Rich Marchand, 29:5, 1998, 376-386, 9.10 Differential Forms for Constrained Max-Min Problems: Eliminating Lagrange Multipliers, Frank Zizza, 29:5, 1998, 387-396, 5.5 5.7.2 Multiple integrals Some Problems of Utmost Gravity, William C. Stetton, 3:1, 1972, 72-75, C, 5.2.3 Interchanging the Order of Integration, Stewart Venit, 5:3, 1974, 20-21 Calculus by Mistake, Louise S. Grinstein, 5:4, 1974, 49-53, C, 5.1.2, 5.1.4, 5.2.2, 5.2.3, 5.2.5, 5.2.10, 5.4.2, 5.6.1 Another Way of Looking at n!, David Hsu, 11:5, 1980, 333-334, C, 5.2.7 A Sequel to "Another Way of Looking at n!", William Moser, 15:2, 1984, 142-143, C, 3.2, 5.2.7 An Alternative to Changing the Order of Integration, Elgin H. Johnston, 20:5, 1989, 405-409, C A Mathematical Roller Derby, Daniel Drucker, 23:5, 1992, 396-401 FFF #61. Caution and the Evaluation of Double Integrals, Ed Barbeau, 24:3, 1993, 230, F On Laplace's Extension of the Buffon Needle Problem, Barry J. Arnow, 25:1, 1994, 40-43, C, 7.2 Calculus Measures Tank Capacity and Avoids Oil Spills, Yves Nievergelt, 25:2, 1994, 132-136, C A Visual Proof of Eddy and Fritsch's Minimal Area Property, Robert Pare, 26:1, 1995, 43-44, C, 5.1.4 Looking at Order of Integration and a Minimal Surface, Thomas Hern and Cliff Long and Andy Long, 29:2, 1998, 128-133, 9.8 5.7.3 Line and surface integrals and vector analysis Tangent Vectors and Orthogonal Projections, Jerry Johnson, 24:3, 1993, 259-262, C Knots about Stokes' Theorem, Michael C. Sullivan, 27:2, 1996, 119-122, C Independence of Path and All That, Robert E. Terrell, 27:4, 1996, 272-276, 9.8 Eigenpictures and Singular Values of a Matrix, Peter Zizler and Holly Fraser, 28:1, 1997, 59-62, C, 4.5 5.8 Software for calculus A Mathematics Software Database, R.S.Cunningham and David A. Smith, 17:3, 1986, 255-266, 0.10, 3.4, 4.8, 6.7, 7.4, 9.11 A Mathematics Software Database Update, R.S.Cunningham and David A. Smith, 18:3, 1987, 242-247, 0.10, 3.4, 4.8, 6.7, 7.4, 9.11 The Compleat Mathematics Software Database, R.S.Cunningham and David A. Smith, 19:3, 1988, 268-289, 0.10, 3.4, 4.8, 6.7, 7.4, 9.11 Mathematics by Machine with Mathematica@, Alan Hoenig, 21:2, 1990, 146-149 Calculus Software, Part 1, L. Carl Leinbach, 21:5, 1990, 420-422 IBM Three-Dimensional Graphing Software for Multivariate Calculus, Lillie Crowley and J. Stephen Ott, 23:1, 1992, 64-68 Derive@, A Mathematical Assistant, Jeanette R. Palmiter, 23:2, 1992, 158-161 Calculus Software for the Macintosh, L. Carl Leinbach and Edward A. Huff, 23:5, 1992, 429-434 Theorist@, Francis Gulick, 24:2, 1993, 178-182 MicroCalc Version 6, L. Carl Leinbach, 24:3, 1993, 263-270 Maple@ V (software review), Eric R. Muller and K.J.Srivastava, 25:1, 1994, 56-63, 6.7 Converge, Version 4.0 (Software Review), Lawrence G. Gilligan, 26:1, 1995, 58-63, 0.10 Toolkit for Interactive Mathematics, review by L. Carl Leinbach, 26:2, 1995, 152-156, 0.10 Derive@, Version 3.0, reviewed by Lawrence G. Gilligan, 26:3,1995, 238-243, 6.7 Software Review: f(g) Scholar, David C. Arney and Daniel J. Arney, 26:5, 1995, 401-403, 0.10, 4.8 TI-92 Graphing Calculator (Review), Sally Fischbeck, 27:3, 1996, 224-230 Dynamic Function Visualization, Mark Bridger, 27:5, 1996, 361-369, 5.1.5, 9.5 Function Visualizer, L. Carl Leinbach, 27:5, 1996, 398-403 Mathwright 2.0, Angela Hare, 28:2, 1997, 140-144 Macsyma 2.1, Carl Leinbach, 28:3, 1997, 224-230 Derive for Windows, Robert Mayes, 28:4, 1997, 310-314 Scientific Notebook, Jon Wilkin, 29:1, 1998, 62-65 Mathematica Sortware Review, Steven Wilkinson, 29:4, 1998, 323-329, 9.11 6 Differential Equations and Dynamical Systems 6.1 First order equations Some Socially Relevant Applications of Elementary Calculus, Colin Clark, 4:2, 1973, 1-15, 5.1.4 The Homicide Problem Revisited, David A. Smith, 9:3, 1978, 141-145, 6.2 Creative Teaching by Mistakes, Andrejs Dunkels and Lars-Erik Persson, 11:5, 1980, 296-300, 5.2.5 Differential Equations and the Battle of Trafalgar, David H. Nash, 16:2, 1985, 98-102, 6.2, 9.10 Both a Borrower and a Lender Be, William Miller, 16:4, 1985, 284, C, 0.8 The Problem of Managing a Strategic Reserve, David Cole and Loren Haarsma and Jack Snoeyink, 17:1, 1986, 48-60, 5.1.4, 9.10 A Linear Diet Model, Arthur C. Segal, 18:1, 1987, 44-45, C The Snowplow Problem Revisited, Xiao-peng Xu, 22:2, 1991, 139, C, 5.3.2 Four Crotchets on Elementary Integration, Leroy F. Meyers, 22:5, 1991, 410-413, C, 5.2.3, 5.2.5, 5.3.2 Physical Demonstrations in the Calculus Classroom, Tom Farmer and Fred Gass, 23:2, 1992, 146-148, C, 1.2, 5.2.1 What It Means to Understand A Differential Equation, John H. Hubbard, 25:5, 1994, 372-384, 1.2, 6.2, 6.4 Teaching Differential Equations with a Dynamical Systems Viewpoint, Paul Blanchard, 25:5, 1994, 385-393, 1.2, 6.2, 6.4 Asking Good Questions about Differential Equations, Paul Davis, 25:5, 1994, 394-400, 1.1, 1.2 A Balloon Experiment in the Classroom, Thomas Gruszka, 25:5, 1994, 442-444, C, 6.4, 9.10 Designing a Rose Cutter, J. S. Hartzler, 26:1, 1995, 41-43, C Minimal Time of Descent, Jack Drucker, 26:3, 1995, 232-235 Discovering Differential Equations in Optics, William Mueller and Richard Thompson, 28:3, 1997, 217-223, 9.10 6.2 Higher order linear equations and linear systems Functions Defined by Differential Equations: A Short Course in Trigonometry, D. Bushaw, 2:1, 1971, 32-35 Talking About Particular Solutions, Sidney H. L. Kung, 3:1, 1972, 67-71, C On Particular Solutions of Pn(D)Y=0, H. L. Kung, 4:1, 1973, 14-25 Solving Systems of Linear Differential Equations, Michael Olinick, 4:1, 1973, 26-30 Factorization of Operators of Second Order Linear Homogeneous Ordinary Differential Equations, Donn C. Sandell and F. Max Stein, 8:3, 1977, 132-141 Another Approach to a Standard Differential Equation, R.S.Luthar, 10:3, 1979, 200-201, C Differential Operators Applied to Integration, Kong-Ming Chong, 13:2, 1982, 155-157, C, 5.2.5 Differential Equations and the Battle of Trafalgar, David H. Nash, 16:2, 1985, 98-102, 6.1, 9.10 A General Method for Deriving the Auxiliary Equation for Cauchy-Euler Equations, Vedula N. Murty and James F. McCrory, 16:3, 1985, 212-215, C Predator-Prey Model, David P. Kraines and Vivian Y. Kraines and David A. Smith, 22:2, 1991, 160-162, C Systems of Linear Differential Equations by Laplace Transform, H. Guggenheimer, 23:3, 1992, 196-202, 4.5 Fireworks, J.M.A.Danby, 23:3, 1992, 237-240, C, 8.3 Timing Is Everything, J. Thoo, 23:4, 1992, 308-309, C Teaching the Laplace Transform Using Diagrams, V. Ngo and S. Ouzomgi, 23:4, 1992, 309-312, C FFF #63. An Euler Equation, Ed Barbeau, 24:4, 1993, 343-344, F New Directions in Elementary Differential Equations, William E. Boyce, 25:5, 1994, 364-371, 1.2, 6.4 What It Means to Understand A Differential Equation, John H. Hubbard, 25:5, 1994, 372-384, 1.2, 6.1, 6.4 Teaching Differential Equations with a Dynamical Systems Viewpoint, Paul Blanchard, 25:5, 1994, 385-393, 1.2, 6.1, 6.4 Computers, Lies, and the Fishing Season, Robert L. Borrelli and Courtney S. Coleman, 25:5, 1994, 401-412, 6.4, 6.5 A New Look at the Airy Equation with Fences and Funnels, John H. Hubbard, Jean Marie McDill, Anne Noonburg, and Beverly H. West, 25:5, 1994, 419-431, 6.6 FFF #78. Solving a Second-order Differential Equation, Ed Barbeau, 25:5, 1994, 432-433, F A Progression of Projectiles: Examples from Sports, Roland Minton, 25:5, 1994, 436-442, C, 6.4, 9.10 Matrix Patterns and Undertermined Coefficients, Herman Gollwitzer, 25:5, 1994, 444-448, C, 4.1 The Lighter Side of Differential Equations, J. M. McDill and Bjorn Felsager, 25:5, 1994, 448-452, C, 6.4 Experiments with Probes in the Differential Equations Classroom, David O. Lomen, 25:5, 1994, 453-457, 6.4, 9.10 Sonnet from the Bard of Peirce-upon-Charles (poem), Ezra Hausman, 25:5, 1994, 457 Distinguised Oscillations of a Forced Harmonic Oscillator, T. G. Proctor, 26:2, 1995, 111-117, 6.6 The Matrix Exponential Function and Systems of Differential Equations Using Derive@, Robert J. Hill and Mark S. Mazur, 26:2, 1995, 146-151, 4.5 Projectile Motion with Arbitrary Resistance, Tilak de Alwis, 26:5, 1995, 361-367, 9.10 The Falling Ladder Paradox, Paul Scholten and Andrew Simoson, 27:1, 1996, 49-54, C, 5.1.3 Solving Linear Differential Equations by Operator Factorization, A. B. Urdaletova and S. K. Kydyraliev, 27:3, 1996, 199-203 A Home Heating Model for Calculus Students, Prashant S. Sansgiry and Constance C. Edwards, 27:5, 1996, 394-397, C, 9.10 Harmonic Oscillators with Periodic Forcing, Temple H. Fay, 28:2, 1997, 98-105 Who Cares if X2 + 1 = Has a Solution?, Viet Ngo and Saleem Watson, 29:2, 1998, 141-144, C, 0.7, 5.2.5, 5.4.2 6.3 Difference equations, discrete dynamical systems, and fractals Vectors Point Toward Pisa, Richard A. Dean, 2:2, 1971, 28-39, 4.3 A General Formula for the Nth Term of a Sequence, Etta Mae Whitton, 2:2, 1971, 96-98, 5.4.1 Telescoping Sums and the Summation of Sequences, G. Baley Price, 4:2, 1973, 16-29, 5.4.2 Stirling's Triangle of the First KindAbsolute Value Style, Hugh Ouellette and Gordon Bennett, 8:4, 1977, 195-202, 0.2 Stirling's Numbers of the Second KindProgramming Pascal's and Stirling's Triangles, Satish K. Janardan and Konanur G. Janardan, 9:4, 1978, 243-248, 0.2 Binary Grids and a Related Counting Problem, Nathan Hoffman, 9:4, 1978, 267-272, 3.1 Summation of Finite SeriesA Unified Approach, Shlomo Libeskind, 12:1, 1981, 41-50, 5.4.2 Sequences, Series, and Pascal's Triangle, Lenny K. Jones, 14:3, 1983, 253-256, C, 5.4.2, 9.2 Pascal's Triangle, Difference Tables and Arithmetic Sequences of Order N, Calvin Long, 15:4, 1984, 290-298, 3.2, 5.4.1, 9.2 The Factorial Triangle and Polynomial Sequences, Steven Schwartzman, 15:5, 1984, 424-426, C, 0.2, 5.4.1 A Discrete Look at 1 + 2 + ... + n, Loren C. Larson, 16:5, 1985, 369-382, 0.2, 0.9, 3.1, 3.2, 5.4.2 The Pascal Polytope: An Extension of Pascal's Triangle to N Dimensions, John F. Putz, 17:2, 1986, 144-155, 3.2, 5.4.1, 9.2 Generating Functions, William Watkins, 18:3, 1987, 195-211, 5.4.2, 9.3 Fibonacci Numbers and Computer Algorithms, John Atkins and Robert Geist, 18:4, 1987, 328-336, 5.1.4, 8.1 Two Simple Recursive Formulas for Summing 1^k + 2^k + ... + n^k, Michael Carchidi, 18:5, 1987, 406-409, C, 5.2.1 Powers and Roots by Recursion, Joseph F. Aieta, 18:5, 1987, 411-416, 0.2, 0.7 Elementary Transcendental Functions, Harley Flanders and J. Sutherland Frame, 18:5, 1987, 417-421, 5.3.3 Pseudorandom Number Generators and a Four-Bit Computer System, James C. Reber, 20:1, 189, 54-55, C, 9.3, 9.10 Spreadsheets, Power Series, Generating Functions, and Integers, Donald R. Snow, 20:2, 1989, 143-152, 5.4.2 The Eternal Trianglea History of a Counting Problem, Mogens Esrom Larsen, 20:5, 1989, 370-384, 3.2 A Hidden Case of Negative Amortization, Bert K. Waits and Franklin Demana, 21:2, 1990, 121-126, 0.8 A Chaotic Search for i, Gilbert Strang, 22:1, 1991, 3-12, 5.1.3, 9.5 Discrete Dynamical Modeling, James T. Sandefur, 22:1, 1991, 13-22, 9.10 The Orbit Diagram and the Mandelbrot Set, Robert L. Devaney, 22:1, 1991, 23-38, 9.10 Theory vs. Computation in Some Very Simple Dynamical Systems, Larry Blaine, 22:1, 1991, 42-44, C, 9.10 Chaiotic Mappings and Probability Distributions, Paul C. Matthews and Steven H. Strogatz, 22:1, 1991, 45-47, 7.2 The Root-Finding Route to Chaos, Richard Parris, 22:1, 1991, 48-55, 5.4.1, 9.5 Sofware Review: Chaos and Fractal Software, Jonathan Choate, 22:1, 1991, 65-69, 6.7, 9.5 Commutativity of Polynomials, Shmuel Avital and Edward Barbeau, 23:5, 1992, 386-395, 0.2, 0.7 Fibonacci Numbers, Recursion, Complexity, and Induction Proofs, Elmer K. Hayashi, 23:5, 1992, 407-410, C Investigation of a Recurrence Relation: Student Research Project, Dmitri Thoro and Linda Valdes, 25:4, 1994, 322-324, 3.2, 9.3 The Dynamics of Newton's Method for Cubic Polynomials, James A. Walsh, 26:1, 1995, 22-28, 5.1.3 Can We See the Mandelbrot Set?, John Ewing, 26:2, 1995, 90-99, 9.5 A Geometric Approach to Linear Functions, Jack E. Graver, 26:5, 1995, 389-394, C, 0.2, 0.4 Bargaining Theory, or Zeno's Used Cars, James C. Kirby, 27:4, 1996, 285-286, C, 5.4.2 A Recurrence Relation in the Spinout Puzzle, Robert C. Lamphere, 27:4, 1996, 286-289, C Fractals in Linear Algebra, James A. Walsh, 27:4, 1996, 298-304, 4.4 How Chaotic Things Work, William C. Mercier, 28:2, 1997, 110-118 Fibonacci Powers and a Fascinating Triangle, Dale K. Hathaway and Stephen L. Brown, 28:2, 1997, 124-128, C, 3.3, 9.3 A Continuous Version of Newton's Method, Steven M. Hetzler, 28:5, 1997, 348-351, 5.1.3 Studying the Cantor Dust at the Edge of Feigenbaum Diagrams, Aaron Klebanoff and John Rickert, 29:3, 1998, 189-198 A Simple Decision Rule for a Guessing Game, Luiz Felipe Martins, 29:5, 1998, 371-375, 7.1 Candies and Dollars, Saad M. Adnan, 29:5, 1998, 414-415, C 6.4 Nonlinear differential equations How to Balance a Yardstick on an Apple, Herbert R. Bailey, 17:3, 1986, 220-225, 9.10 Bat and Superbat, Herbert R. Bailey, 18:4, 1987, 307-314, 5.2.9 A Rich Differential Equation for Computer Demonstrations, Bernard W. Banks, 21:1, 1990, 45-50, 6.5, 9.6 Newton's Orbit Problem: A Historian's Response, Curtis Wilson, 25:3, 1994, 193-200, 0.5, 2.2 Newton's Principia and Inverse-Square Orbits, N. Nauenberg, 25:3, 1994, 212-221, 0.5, 2.2, 6.5 New Directions in Elementary Differential Equations, William E. Boyce, 25:5, 1994, 364-371, 1.2, 6.2 What It Means to Understand A Differential Equation, John H. Hubbard, 25:5, 1994, 372-384, 1.2, 6.1, 6.2 Teaching Differential Equations with a Dynamical Systems Viewpoint, Paul Blanchard, 25:5, 1994, 385-393, 1.2, 6.1, 6.2 Computers, Lies, and the Fishing Season, Robert L. Borrelli and Courtney S. Coleman, 25:5, 1994, 401-412, 6.2, 6.5 Quenching a Thirst with Differential Equations, Martin Ehrismann, 25:5, 1994, 413-418, 9.10 A Progression of Projectiles: Examples from Sports, Roland Minton, 25:5, 1994, 436-442, C, 6.2, 9.10 A Balloon Experiment in the Classroom, Thomas Gruszka, 25:5, 1994, 442-444, C, 6.1, 9.10 The Lighter Side of Differential Equations, J. M. McDill and Bjorn Felsager, 25:5, 1994, 448-452, C, 6.2 Experiments with Probes in the Differential Equations Classroom, David O. Lomen, 25:5, 1994, 453-457, 6.2, 9.10 Gudermann and the Simple Pendulum, John S. Robertson, 28:4, 1997, 271-276, 5.3.1 Characterizing Power Functions by Volumes of Revolution, Bettina Richmond and Tom Richmond, 29:1, 1998, 40-41, C, 5.2.7 6.5 Numerical methods for differential equations A Rich Differential Equation for Computer Demonstrations, Bernard W. Banks, 21:1, 1990, 45-50, 6.4, 9.6 Newton's Principia and Inverse-Square Orbits, N. Nauenberg, 25:3, 1994, 212-221, 0.5, 2.2, 6.4 Computers, Lies, and the Fishing Season, Robert L. Borrelli and Courtney S. Coleman, 25:5, 1994, 401-412, 6.2, 6.4 6.6 Other topics in differential equations An Alternative Approach to the Vibrating String Problem, James Chew, 12:2, 1981, 147-149, C Computer Graphics for the Vibrating String, Howard Lewis Penn, 17:1, 1986, 79-89 A New Look at the Airy Equation with Fences and Funnels, John H. Hubbard, Jean Marie McDill, Anne Noonburg, and Beverly H. West, 25:5, 1994, 419-431, 6.2 Distinguised Oscillations of a Forced Harmonic Oscillator, T. G. Proctor, 26:2, 1995, 111-117, 6.2 Zeroing In on the Delta Function, Joan R. Hundhausen, 29:1, 1998, 27-32 How to Pump a Swing, Stephen Wirkus and Richard Rand and Andy Ruina, 29:4, 1998, 266-275, 9.9 6.7 Software for differential equations and dynamical systems A Mathematics Software Database, R.S.Cunningham and David A. Smith, 17:3, 1986, 255-266, 0.10, 3.4, 4.8, 5.8, 7.4, 9.11 A Mathematics Software Database Update, R.S.Cunningham and David A. Smith, 18:3, 1987, 242-247, 0.10, 3.4, 4.8, 5.8, 7.4, 9.11 The Compleat Mathematics Software Database, R.S.Cunningham and David A. Smith, 19:3, 1988, 268-289, 0.10, 3.4, 4.8, 5.8, 7.4, 9.11 Chaos and Fractal Software, Jonathan Choate, 22:1, 1991, 65-69, 9.5, 6.3 Derive, A Mathematical Assistant, Jeanette R. Palmiter, 23:2, 1992, 158-161 Theorist@, Francis Gulick, 24:2, 1993, 178-182 MicroCalc Version 6, L. Carl Leinbach, 24:3, 1993, 263-270 Maple@ V (software review), Eric R. Muller and K.J.Srivastava, 25:1, 1994, 56-63, 5.8 Differential Systems 3.1, James P. Fink, 25:4, 1994, 329-333 ODE Solvers for the Classroom, Andrew Flint and Ron Wood, 25:5, 1994, 458-461 Derive@, Version 3.0, reviewed by Lawrence G. Gilligan, 26:3,1995, 238-243, 5.8 Forget Not the Lowly Spreadsheet, Michael G. Henle, 26:4, 1995, 320-328, 3.4 Dfield and Pplane, Alan T. Zehnder, 27:2, 1996, 144-148 Interactive Differential Equations, James P. Fink, 28:1, 1997, 63-66 VisualDSolve, Michael Frame, 28:5, 1997, 398-405 IDEA: Internet Differential Equations Activities, Elly Claus-McGahan, 29:5, 1998, 427-433 7 Probability and Statistics 7.1 Games of chance (also see 9.2) A Program for Keno, Karl J. Smith, 3:2, 1972, 16-20, 9.10 An Interesting Penny Game, Keith J. Craswell, 4:1, 1973, 18-25, 7.2 Oh Craps, Lawrence G. Gilligan and Nelson G. Rich, 5:4, 1974, 42-48, 7.2 An Application from Combinatorics to Dice-Sum Frequencies, David L. Pugh, 11:5, 1980, 331-333, C, 3.2 Dice Tossing and Pascal's Triangle, John D. Neff, 13:5, 1982, 311-314, 7.2 Blackjack with n Decks, Philip G. Buckhiester, 14:4, 1983, 345-346, C, 7.2 Equalizing a Two-Person Alternation Game, Robert K. Tamaki, 18:2, 1987, 134-135, C, 7.2 How Many Bridge Actions?, Douglas S. Jungreis and Erich Friedman, 19:2, 1988, 171-172, C, 3.2 Maybe the Price Doesn't Have to be Right: Analysis of a Popular TV Game Show, Danny W. Turner and Dean M. Young and Virgil R. Marco, 19:5, 1988, 419-421, C, 7.2 FFF. Marilyn's Problem, Prisoner's Paradox, Two Children, and Three Cards, Ed Barbeau, 22:4, 1991, 308, F, 7.2 (also 24:2, 1993, 149-154) The Game of Dreidel Made Fair, Felicia Moss Trachtenberg, 27:4, 1996, 278-281 A Simple Decision Rule for a Guessing Game, Luiz Felipe Martins, 29:5, 1998, 371-375, 6.3 7.2 Probability An Interesting Penny Game, Keith J. Craswell, 4:1, 1973, 18-25, 7.1 How to Find a Needle in a Haystack, Keith J. Craswell, 4:3, 1973, 18-21 Why Isn't Penny Flipping Fairer?, Keith J. Craswell, 5:3, 1974, 18-19 Oh Craps, Lawrence G. Gilligan and Nelson G. Rich, 5:4, 1974, 42-48, 7.1 The Birthday Problem Revisited, Joe Dan Austin, 7:4, 1976, 39-42 Independence and Intuition, V.N.Murty, 8:2, 1977, 106-107, C Some New Ways of Solving a Coin Tossing Problem, Nathan Hoffman, 9:1, 1978, 6-10 A Neglected Probability Formula, John Sodano and Arthur Yaspan, 9:3, 1978, 145-147 Another Solution to a Coin-Tossing Problem, V.N.Murty, 10:1, 1979, 33-35, C A Gambler's Ruin Problem, Ross Honsberger, 10:2, 1979, 108-111 Using Integrals to Evaluate Voting Power, Philip D. Straffin, Jr., 10:3, 1979, 179-191 Pictures, Probability and Paradox, Robert Nelson, 10:3, 1979, 182-190 Coin-Tossing Problem Revisited, Michael W. Chamberlain, 10:5, 1979, 349-350, C Further Observations on "A Neglected Probability Formula", Konanur G. Janardan, 11:1, 1980, 52-54, C Snowfalls and Elephants, Pop Bottles and Pi, Ralph Boas, 11:2, 1980, 82-89 Wavefronts, Box Diagrams, and the Product Rule: A Discovery Approach, John W. Dawson, Jr., 11:2, 1980, 102-106, 5.1.2 Stochastic Independence Versus Intuitive Independence, B.H.Bissinger, 11:2, 1980, 122-123, C What are the Odds?Constructing Competition Probabilities, Gerald D. Brazier, 11:5, 1980, 290-295 On Dice-Sum Frequencies, V.N.Murty, 12:3, 1981, 209-211, C, 3.2 Binomial Baseball, Eugene M. Levin, 12:4, 1981, 260-266, 9.10 An Optimal Football Strategy, Joseph A. Gallian, 12:5, 1981, 330-331, C Chain Letters: A Poor Investment Unless..., David J. Thuente, 13:1, 1982, 28-35, 3.1 The Law of Succesion and Bayes' Rule, V.N.Murty and B.H.Bissinger, 13:1, 1982, 44-51 A Visual Interpretation of Independent Events, M.G.Monzingo, 13:3, 1982, 197-198, C Probability Solution to a Limit Problem, Homer W. Austin, 13:4, 1982, 272, C, 5.1.1 Dice Tossing and Pascal's Triangle, John D. Neff, 13:5, 1982, 311-314, 7.1 Minimally Favorable Games, Michael W. Chamberlain, 14:2, 1983, 159-164, 9.10 Probabilistic Dependence Between Events, Ruma Falk and Maya Bar-Hillel, 14:3, 1983, 240-243, 9.1 Blackjack with n Decks, Philip G. Buckhiester, 14:4, 1983, 345-346, C, 7.1 Antisubmarine Warfare: Passive vs. Active Sonar, L. Whitt and K. Wilk, 14:5, 1983, 434-435, C The Distribution of First Digits, Stephen H. Friedberg, 15:2, 1984, 120-125, 9.3 Application of a Generalized Fibonacci Sequence, Curtis Cooper, 15:2, 1984, 145-146, C, 5.4.1 The Dice ProblemThen and Now, Janet Bellcourt Pomeranz, 15:3, 1984, 229-237 Probabilistic Repeating Among Some Irrationals, Robert Schmidt and Robert Lacher, 15:4, 1984, 330-332, C, 9.3 A Monte Carlo Simulation Related to the St. Petersburg Paradox, Allan J. Caesar, 15:4, 1984, 339-342, 5.4.2, 9.10 On the Probability that the Better Team Wins the World Series, James L. Kepner, 16:4, 1985, 250-256, 3.2 Teaching Elementary Probability Through its History, Sharon Kunoff and Sylvia Pines, 17:3, 1986, 210-219, 2.2 An Extension of the Birthday Problem to Exactly k Matches, Robert L. Hocking and Neil C. Schwertman, 17:4, 1986, 315-321 A Geometric Interpretation of Simpson's Paradox, A. Tan, 17:4, 1986, 340-341 Combinatorics by Coin Flippling, Joel Spencer, 17:5, 1986, 407-412, 3.1, 3.2 Cryptology: From Caesar Ciphers to Public-Key Cryptosystems, Dennis Luciano and Gordon Prichett, 18:1, 1987, 2-17, 0.1, 9.3 Positioning of Emergency Facilities in an Obstructed Traffic Grid, Jeff Cronk and Duff Howell and Keith Saints, 18:1, 1987, 34-43, 9.10 Equalizing a Two-Person Alternation Game, Robert K. Tamaki, 18:2, 1987, 134-135, C, 7.1 Bayes' Theorem, Binomial Probabilities, and Fair Numbers of Peremptory Challenges in Jury Trials, LeRoy A. Franklin, 18:4, 1987, 291-299 The Probability that the "Sum of the Rounds" Equals the "Round of the Sum", Roger B. Nelsen and James E. Schultz, 18:5, 1987, 389-396, 7.3, 9.10 Theory, Simulation and Reality, Peter Flusser, 19:3, 1988, 210-222, 7.3, 9.10 Random Walks on Z, Robert I. Jewett and Kenneth A. Ross, 19:4, 1988, 330-342, 9.5 Musical Notes, Angela B. Shiflet, 19:4, 1988, 345-347, C, 3.2, 9.2 Maybe the Price Doesn't Have to be Right: Analysis of a Popular TV Game Show, Danny W. Turner and Dean M. Young and Virgil R. Marco, 19:5, 1988, 419-421, C, 7.1 FFF #13. Where the Grass is Greener, Ed Barbeau, 21:1, 1990, 35, F (also 22:4, 1993, 308-309 and 24:2, 1993, 152) FFF #14. How to Make a Million, Ed Barbeau, 21:1, 1990, 35, F (also 22:4, 1991, 310) Chaiotic Mappings and Probability Distribtions, Paul C. Matthews and Steven H. Strogatz, 22:1, 1991, 45-47, 6.3 FFF. Marilyn's Problem, Prisoner's Paradox, Two Children, and Three Cards, Ed Barbeau, 22:4, 1991, 308, F, 7.1 (also 24:2, 1993, 149-154) FFF. Lewis Carroll, Ed Barbeau, 23:4, 1992, 305, F The Problem of the Car and Goats, Ed Barbeau, 24:2, 1993, 149-154, F On Laplace's Extension of the Buffon Needle Problem, Barry J. Arnow, 25:1, 1994, 40-43, C, 5.7.2 FFF. The Paradox of the Nontransitive Dice, Richard P. Savage, Jr., 26:1, 1995, 38, F FFF. An Update on Probability Problems References, Ed Barbeau, 26:2, 1995, 132-133, F (see also 27:1, 1996, 46) Pair Them Up! A Visual Approach to the Chung-Feller Theorem, David Callan, 26:3, 1995, 196-198 FFF #100. Getting Black Balls, Ed Barbeau, 27:2, 1996, 117, F (see also 27:3, 1996, 205) FFF #104. Three Coins in the Fountain, Francis Galton, 27:3, 1996, 204, F Capturing the Origin with Random Points: Generalizations of a Putnam Problem, Raph Howard and Paul Sisson, 27:3, 1996, 186-192, 9.7 The Game of Dreidel Made Fair, Felicia Moss Trachtenberg, 27:4, 1996, 278-281 FFF #109. Your Lucky Number is in Pi, Ed Barbeau, 27:5, 1996, 370, F A Nod to Bertrand Russell, Anthony Lo Bello, 28:2, 1997, 133, C The Average Distance Between Points in Geometric Figures, Steven R. Dunbar, 28:3, 1997, 187-197, 9.10 Tying Up Loose Ends with Probability, Cathy Liebars, 28:5, 1997, 386-388, C Singles in a Sequence of Coin Tosses, David M. Bloom, 29:2, 1998, 120-127 FFF #128. A Full House, Eric Chandler, 29:2, 1998, 134-135, F FFF #129. Meeting in a Knockout Tournament, Ed Barbeau, 29:2, 1998, 135-136, F The Mathematics of Cootie, Min Deng and Mary T. Whalen, 29:3, 1998, 222-224, C How Much Money Do You (or Your Parents) Need for Retirement?, James W. Daniel, 29:4, 1998, 278-283, 0.8 The Probability of Passing a Multiple-Choice Test, Milton P. Eisner, 29:5, 1998, 421-426, 9.10 7.3 Statistics (also see 9.10) Cauchy's Inequality and the Least Squares Line, William Stenger, 6:1, 1975, 2-4 Random Charity: A Stochastic Sieving Problem and its Connection with the Euclidean Algorithm, Roland Engdahl and Karl Greger, 6:4, 1975, 4-9 Statistical Inference for the General Education StudentIt Can Be Done, Allen H. Holmes, Walter Sanders and John LeDuc, 8:4, 1977, 223-230 The Use of Sports Data for Integrating Topics in Introductory Statistics, Robert L. Heiny, 9:1, 1978, 28-33 Classroom Demonstration of a Confidence Interval, Wayne Andrepont and Peter Dickinson, 9:1, 1978, 34-36 The Range of the Standard Deviation, Lawrence Sher, 10:1, 1979, 33, C How Close are the Mean and the Median?, Stephen A. Book, 10:3, 1979, 202-204, C An Expected Value Problem, Harris S. Schultz, 10:4, 1979, 277-278, C Why n-1 in the Formula for the Sample Standard Deviation?, Stephen A. Book, 10:5, 1979, 330-333 Bounds for the Sum of Absolute Standard Scores, Lawrence Sher, 10:5, 1979, 351-353, C CorrelationA Vector Approach, Kenneth R. Kundert, 11:1, 1980, 52, C, 5.5 An Expected Value Problem Revisited, W. J. Hall, 11:3, 1980, 204-205 An Analytic Geometry Approach to the Least Squares Line of Best Fit, Stewart Venit and Richard Katz, 11:4, 1980, 270-272, C, 0.5 A Bound for Standard Scores, Lawrence Sher, 11:2, 1980, 334-335, C A Mean Generating Function, Jack C. Slay and J.L.Solomon, 12:1, 1981, 27-29, 5.1.2 Partial and Semipartial CorrelationA Vector Approach, John Huber, 12:2, 1981, 151-153, C Another Look at the Mean, Median, and Standard Deviation, Ruma Falk, 12:3, 1981, 207-208, C Bounds for the Ratio of the Arithmetic Mean to the Geometric Mean, M. Perisastry and V.N.Murty, 13:2, 1982, 160-161, C Nearness Relations Among Measures of Central Tendency and Dispersion: Part 1, Warren Page and V.N.Murty, 13:5, 1982, 315-326 Nearness Relations Among Measures of Central Tendency and Dispersion: Part 2, Warren Page and V.N.Murty, 14:1, 1983, 8-17 Another Proof of the Inequality (n^2)(sigma)^2 From None to Infinity: Challenging Problems in Cardinality Classification, Richard L. Francis, 17:3, 1986, 226-230 The Distribution of First j Digits, S.A.Patil and V.R.R.Uppuluri, 17:3, 1986, 240-243, C Cryptology: From Caesar Ciphers to Public-Key Cryptosystems, Dennis Luciano and Gordon Prichett, 18:1, 1987, 2-17, 7.2, 0.1 Bach, 5465, and Upside-Down Numbers, Robert E. Kennedy and Curtis N. Cooper, 18:2, 1987, 111-115 Generating Functions, William Watkins, 18:3, 1987, 195-211, 6.3, 5.4.2 The Chinese Remainder Problem and Polynomial Interpolation, Isaac J. Schoenberg, 18:4, 1987, 320-322, C On Partitioning a Real Number, William Staton, 19:1, 1988, 53-54, C, 5.1.4 Mathematical Haystacks: Another Look at Repunit Numbers, Richard L. Francis, 19:3, 1988, 240-246 Involutions and Problems Involving Perimeters and Area, Joseph Wiener and Henjin Chi and Hushang Poorkarimi, 19:3, 1988, 250-252, C, 9.5 Sieving Primes on a Micro, Harley Flanders and Alan F. Tomala, 19:4, 1988, 364-367, 8.1 Amalgamation fo Formulae for Sequences, N.S.Mendelsohn, 19:5, 1988, 421-424, C Pseudorandom Number Generators and a Four-Bit Computer System, James C. Reber, 20:1, 1989, 54-55, C, 6.3, 9.10 Finding Rational Roots of Polynomials, Don Redmond, 20:2, 1989, 139-141, C, 0.7 It's Magic! Multiplication Theorems for Magic Squares, Daniel Widdis and R. Bruce Richter, 20:4, 1989, 301-306, 3.2, 9.2 Locating Multiples of Primes in Pascal's Triangle, Lawrence O. Cannon, 20:4, 1989, 324-328, C Strings of Strongly Composite Integers and Invisible Lattice Points, Peter Schumer, 21:1, 1990, 37-40, C Computer-Aided or Analytic Proof?, Herve Lehning, 21:3, 1990, 228-239 Student Research Projects: Self-esteem in Mathematics, Herbert S. Wilf, 21:4, 1990, 274-277, 1.2 Triangles with Integer Sides and Sharing Barrels, David Singmaster, 21:4, 1990, 278-285, 0.4 The Birth of the Eotvos Competition, Agnes Arvai Wieschenberg, 21:4, 1990, 286-293, 2.2 Polar Summation, Loretta McCarty, 21:5, 1990, 397-398, C Another Proof of the Irrationality of the Square Root of 2, Enzo R. Gentile, 22:2, 1991, 143, C Secrets of the Faro: Student Research Project, Irl C. Bivens, 22:2, 1991, 144-147, 9.4 The Mathematics of Identification Numbers, Joseph A. Gallian, 22:3, 1991, 194-202, 9.4 Reward of the Rings: Student Research Projects, Irl C. Bivens, 22:5, 1991, 418-420, 9.4 Summation by Parts, Gregory Fredricks and Roger B. Nelsen, 23:1, 1992, 39-44, C, 5.1.2, 5.4.1, 5.4.2 The Probability that (a, b)=1, Aaron D. Abrams and Matteo J. Paris, 23:1, 1992, 47, C Number Theory and Linear Algebra: Exact Solutions of Integer Systems, George Mackiw, 23:1, 1992, 52-58, 4.1 A Serendipitous Application of the Pythagorean Triplets, Susan Forman, 23:4, 1992, 312-314, C, 0.2 Primitive Pythagorean Triples: Student Research Project, Ernest J. Eckert, 23:5, 1992, 413-417 Sums of Triangular Numbers, Roger B. Nelsen, 23:5, 1992, 417, C Geometry: A Gateway to Understanding, Peter Hilton and Jean Pedersen, 24:4, 1993, 298-317, 0.3 Towers of Powers Modulo m, Robert J. MacG. Dawson, 25:1, 1994, 22-28 Eisenstein's Misunderstood Geometric Proof of the Quadratic Reciprocity Theorem, Reinhard C. Laubenbacher and David J. Pengelley, 25:1, 1994, 29-34 Frequencies of Digits in Factorials: An Experimental Approach, Michael L. Treuden, 25:1, 1994, 48-55 Euclid's (Gaussian) Algorithm: A Lattice Approach, Steve Benson, 25:2, 1994, 118-124 Approaches to the Formula for the nth Fibonacci Number, Russell Jay Hendel, 25:2, 1994, 139-142, C, 0.2, 4.5, 5.4.2, 9.5 Sums of Odd Squares, Roger B. Nelsen, 25:3, 1994, 246, C Prime Number Records, Paulo Ribenboim, 25:4, 1994, 280-290 Investigation of a Recurrence Relation: Student Research Project, Dmitri Thoro and Linda Valdes, 25:4, 1994, 322-324, 3.2, 6.3 A Mathematica'l Magic Trick, Stan Wagon, 25:4, 1994, 325-326, C FFF #79. A Divisibility Property, Ed Barbeau, 25:5, 1994, 433, F FFF #82. Why Wiles' Proof of the Fermat Conjecture is False, Ed Barbeau, 25:5, 1994, 434-435, F, 9.7 The Repeating Integer Paradox, Paul Fjelstad, 26:1, 1995, 11-15 A Taylor-made Plug for Wiles' Proof, Nigel Boston, 26:2, 1995, 100-105 More Mathematical Gems, Ross A. Honsberger, 26:4, 1995, 281-283, 9.5 A Surprise Regarding the Equation phi(x) = 2(6n+1), Joseph B. Dence and Thomas P. Dence, 26:4, 1995, 297-301 Exploring Fibonacci Numbers Mod M, Jack Ryder, 27:2, 1996, 122-124, C, 3.3 The Square of Any Odd Number is the Difference Between Two Triangular Numbers (Proof Without Words), Roger B. Nelsen, 27:2, 1996, 118, C, 0.1 Fractions with Cycling Digit Patterns, Dan Kalman, 27:2, 1996, 109-115, 0.1 Pythagorean Triples: The Hyperbolic View, Raymond A. Beauregard and E. R. Suryanarayan, 27:3, 1996, 170-181, 9.4 FFF #108. All Perfect Numbers Are Even, Ari Turner, 27:4, 1996, 283, F Generalizations of a Mathematical Olympiad Problem, Joe Klerlein and Scott Sportsman, 27:4, 1996, 296-297, 3.2 Three Applications of a Familiar Formula, Robert A. Fontenot, 27:5, 1996, 356-360 Periodic Points of the Difference Operator, Chris Bernhardt and Thomas Yuster, 2:1, 1997, 20-26 Digital Permutations, Bryan Dawson, 28:1, 1997, 26, C A Long Sequence of Composite Numbers, Ed Pegg, Jr., 28:2, 1997, 121, C Fibonacci Powers and a Fascinating Triangle, Dale K. Hathaway and Stephen L. Brown, 28:2, 1997, 124-128, C, 3.3, 6.3 Two Identities for Triangular Numbers (proof by picture), Roger B. Nelsen, 28:3, 1997, 197, C On Dividing Coconuts: A Linear Diophantine Problem, Sahib Singh and Dip Bhattacharya, 28:3, 1997, 203-204, C, 5.4.3 Are There Functions That Generate Prime Numbers?, Paulo Ribenboim, 28:5, 1997, 352-359 The Brahmagupta Triangles, Raymond A. Beauregard and E. R. Surynarayan, 29:1, 1998, 13-17, 0.4 A Class of Pleasing Periodic Designs, Federico Fernandez, 29:1, 1998, 18-26, 4.3, 9.4 Making Squares from Pythagorean Triangles, Charles Jepsen and Roc Yang, 29:4, 1998, 284-288, 9.7 On Factoring n with the b-algorithm, Vincent Lucarelli, 29:4, 1998, 289-295 Egyptian Fractions and the Inheritance Problem, Premchand Anne, 29:4, 1998, 296-300 More Coconuts, Sidney H. Kung, 29:4, 1998, 312-313, C, 0.1 9.4 Abstract algebra A Condition Equivalent to Associativity for Finite Groups, Roy Dobyns, 3:1, 1972, 10-13 Sneaking Up On a Group, Jean J. Pedersen, 3:2, 1972, 9-12 Complex Numbers as Residue Classes of Polynomials mod(x^2+1), Rosemary Schmalz, S.P., 3:2, 1972, 78-80, C Rings, Subrings, Identities and Homomorphisms, Pasquale J. Arpaia, 5:1, 1974, 25-28 An Alternative to Euclidean Algorithm, Sidney H. L. Kung, 5:2, 1974, 8-11 A Finite FieldA Finite Geometry and Triangles, Marc Swadener, 5:3, 1974, 22-26, 0.3 Factoring Functions and Relations, Thomas J. Brieske, 6:3, 1975, 8-12, 1.2 Exploring the Gaussian Integers, Robert G. Stein, 7:4, 1976, 4-10 An Algorithm and Its Connection with Abelian Groups, W.G.Leavitt, 7:2, 1976, 16-21 Counterexamples from the Algebra of Polynomials over a Nonfield, Janet B. Pomeranz, 8:1, 1977, 11-14 Can This Polynomial Be Factored?, Harold L. Dorwart, 8:2, 1977, 67-72, 0.7 An Arithmetic Description of the Dihedral Group, L. N. Somanchi, 11:5, 1980, 327-329, C Compounding Energy Savings, Leo Chosid, 12:1, 1981, 56-57, C, 0.8 Vector Identities from Quaternions, William C. Schultz, 12:4, 1981, 271-273, C, 5.5 Constructing "Different" Examples for Beginning Abstract Algebra Students, Eddie Boyd, Jr., 12:5, 1981, 333-334, C Teaching Mathematics with Rubik's Cube, Tom Davis, 13:3, 1982, 178-185 Isomorphisms on Magic Squares, Ali R. Amir-Moez, 14:1, 1983, 48-51, 0.2, 5.4.1, 9.2, 9.3 Doubling: Real, Complex, Quaternion and Beyond ... Well, Maybe, Robert C. Moore, 17:4, 1986, 342-343, C Generating Posets, Harley Flanders, 18:4, 1987, 323-327, 8.2 Is the Distributive Property Redundant?, Douglas L. Cashing, 18:5, 1987, 402-403, C Rencontres Reencountered, Karl David, 19:2, 1988, 133-148, 3.2 Codes that Detect and Correct Errors, Chester J. Salwach, 19:5, 1988, 402-416, 9.5 Simple Groups (poem), Anonymous, 20:1, 1989, 26 A Complete Solution to the Magic Hexagram Problem, Harold Reiter and David Ritchie, 20:4, 1989, 307-316, 9.2 Minimum Dimension for a Square Matrix of Order n, Robert Hanson, 21:1, 1990, 28-34, 4.1 A Zero-Row Reduction Algorithm for Obtaining the gcd of Polynomials, Sidney H. Kung and Yap S. Chua, 21:2, 1990, 138-141, 0.7, 4.1 FFF #21. Groups with Separate Identities, Ed Barbeau, 21:3, 1990, 217, F (also 21:5, 1990, 396) FFF #22. The Least Common Multiple Order, Ed Barbeau, 21:3, 1990, 217, F (also 21:5, 1990, 396) Binary Operations, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:3, 1990, 240-241, C, 9.11 Secrets of the Faro: Student Research Project, Irl C. Bivens, 22:2, 1991, 144-147, 9.3 The Mathematics of Identification Numbers, Joseph A. Gallian, 22:3, 1991, 194-202, 9.3 FFF #43. The Number of Conjugates of a Group Element, Ed Barbeau, 22:3, 1991, 222, F Coset Products in Rings: Student Research Projects, Dennis Kletzing, 22:4, 1991, 323-326 FFF #48. All Groups are Simple, Ed Barbeau, 22:5, 1991, 404, F Reward of the Rings: Student Research Projects, Irl C. Bivens, 22:5, 1991, 418-420, 9.3 A Number-Theoretic Approach to Counting Subgroups of Dihedral Groups: Student Research Project, David W. Jensen and Eric R. Bussian, 23:2, 1992, 150-152 FFF #55. Even and Odd Permutations, Ed Barbeau, 23:3, 1992, 204, F, 4.2 (also 23:4, 1992, 305 and 24:4, 1993, 346) A Sliding Block Problem: Student Research Project, George T. Gilbert and Loren C. Larson, 23:4, 1992, 315-319 FFF #80. Factoring Homogeneous Polynomials, John Webb and Graeme West, 25:5, 1994, 433, F Visualizing the Group Homomorphism Theorem, Robert C. Moore, 26:2, 1995, 143, C Card Shuffling in Discrete Mathematics, Steve M. Cohen and Paul R. Coe, 26:3, 1995, 224-227, C, 3.3 FFF #90. The Impossibility of Angle Bisection, Eric Chandler, 26:4, 1995, 302, F Computing in Abstract Algebra, George Mackiw, 27:2, 1996, 136-142 Pythagorean Triples: The Hyperbolic View, Raymond A. Beauregard and E. R. Suryanarayan, 27:3, 1996, 170-181, 9.3 FFF #105. The Remainder Theorem, Richard Laatsch, 27:4, 1996, 282, F, 0.2 The Generalized Spectral Decomposition of a Linear Operator, Garret Sobczyk, 28:1, 1997, 27-38, 4.6 Adventure Games, Permutations, and Spreadsheets, Paul Vodola, 28:4, 1997, 301-309 A Class of Pleasing Periodic Designs, Federico Fernandez, 29:1, 1998, 18-26, 4.3, 9.3 An Application of Elementary Group Theory to Central Solitaire, Arie Bialostocki, 29:3, 1998, 208-212 Prelude to Musical Geometry, Brian J. McCartin, 29:5, 1998, 354-370, 0.3, 9.7 9.5 Analysis On the Sum of Two Periodic Functions, John M. H. Olmsted and Carl G. Townsend, 3:1, 1972, 33-38 The Quadratic Polynomial and Its Zeroes, C. A. Long, 3:2, 1972, 23-29, 5.1.5 On the Use of Functions, William E. Hartnett, 3:2, 1972, 25-28, 9.8 A Geometric Approach to the Orders of Infinity, Harold L. Schoen, 3:2, 1972, 74-76, C, 0.2 A Construction of the Real Numbers, E.A.Maier and David Maier, 4:1, 1973, 31-35 Riemann Integration in Ordered Fields, John M. Olmsted, 4:2, 1973, 34-40 A Further Note on the Orders of Infinity, Harold L. Schoen, 5:1, 1974, 80-81, C, 0.2 A Linear Integral Transform with a Simple Kernel, Walter W. Bolton and Sterling C. Crim, 6:1, 1975, 5-7 The Countability of the Rationals Revisited, Keith Gant and Dean B. Priest, 6:3, 1975, 41-42, C An Interesting Use of Generating Functions, Aron Pinker, 6:4, 1975, 39-45, 0.6, 5.4.2 Can the Complex Numbers Be Ordered?, Richard C. Weimer, 7:4, 1976, 10-12 Newton's Inequality and a Test for Imaginary Roots, Carl G. Wagner, 8:3, 1977, 145-147 Another Proof of the Arithmetic-Geometric Mean Inequality, Elmar Zemgalis, 10:2, 1979, 112-113, C The Generalized Arithmetic-Geometric Mean Inequality, David H. Anderson, 10:2, 1979, 113-114, C Testing a Graph's Symmetry, V.N.Murty, 10:2, 1979, 116-117, C A Note on the Cauchy-Schwartz Inequality, Jack C. Slay and J.L.Solomon, 10:4, 1979, 280-281, C A Rational Approximation to SQR(n), Carl P. McCarty, 11:2, 1980, 123-124, C Extending Bernoulli's Inequality, Ervin Y. Rodin, 11:2, 1980, 124-125, C Elementary Derivation of a Formula for Approximating n!, David H. Anderson, 11:3, 1980, 201-202, C A Quick Test for Rational Roots of a Polynomial, Leo Chosid, 11:3, 1980, 205-206, C, 0.7 How Close are the Riemann Sums to the Integral They Approximate?, V.N.Murty, 11:4, 1980, 268-270, C Altitudes ad Infinitum, Martin Berman, 11:5, 1980, 300-304 Uniqueness of Power Series Representations, Garfield C. Schmidt, 12:1, 1981, 54-56, C, 5.4.2 Applying Complex Arithmetic, Herbert L. Holden, 12:3, 1981, 190-194, 0.6, 5.3.1, 9.3 Corrections to an Earlier Capsule, Richard Johnsonbaugh, 12:3, 1981, 204-206, C A Note on Parallel Curves, Allan J. Kroopnick, 13:1, 1982, 59-61, C Continued Fractions and Iterative Processes, Jean H. Bevis and Jan L. Boal, 13:2, 1982, 122-127, 0.7 Still Another Proof of the Arithmetic-Geometric Mean Inequality, Norman Schaumberger, 13:2, 1982, 159-160, C Power Series for Practical Purposes, Ralph Boas, 13:3, 1982, 191-195, 5.4.2 A First Course in Continuous Simulation, Richard Bronson, 13:5, 1982, 300-310, 1.2 Products of Sets of Complex Numbers, Byron L. McAllister, 14:5, 1983, 390-397 Mean Inequalities, Frank Burk, 14:5, 1983, 431-434, C Convexity in Elementary Calculus: Some Geometric Equivalences, Victor A. Belfi, 15:1, 1984, 37-41 Income Tax Averaging and Convexity, Michael Henry and G.E.Trapp, Jr., 15:3, 1984, 253-255, 0.8, 5.1.5, 5.7.1 The Maximum and Minimum of Two Numbers Using the Quadratic Formula, Dan Kalman, 15:4, 1984, 329-330, C, 5.1.4 Income Averaging Can Increase Your Tax Liability, Gino T. Fala, 16:1, 1985, 53-55, C, 0.8 Picturing Functions of a Complex Variable, Bart Braden, 16:1, 1985, 63-73 Geometrically Asymptotic Curves, Dan Kalman, 16:3, 1985, 199-206, 5.1.5 Graphing the Complex Roots of a Quadratic Equation, Floyd Vest, 16:4, 1985, 257-261, 0.2, 0.7 On Hypocycloids and their Diameters, I.J.Schoenberg, 16:4, 1985, 262-267, 5.6.1 Relating Differentiability and Uniform Continuity, Irl C. Bivens and L.R.King, 16:4, 1985, 283, C Why is a Restaurant's Business Worse in the Owner's Eyes Than in the Customers'?, Wong Ngoi Ying, 18:4, 1987, 315-316, C Another Proof of the Inequality Between Power Means, Norman Schaumberger, 19:1, 1988, 56-58, C A General Form of the Arithmetic-Geometric Mean Inequality via the Mean Value Theorem, Norman Schaumberger, 19:2, 1988, 172-173, C, 5.1.2 Parameter-generated Loci of Critical Points of Polynomials, F. Alexander Norman, 19:3, 1988, 223-229, 0.7, 5.1.5 A Classroom Approach to Involutions, Joseph Wiener and Will Watkins, 19:3, 1988, 247-250, C Involutions and Problems Involving Perimeters and Area, Joseph Wiener and Henjin Chi and Hushang Poorkarimi, 19:3, 1988, 250-252, C, 9.3 A Discrete l'Hopital's Rule, Xun-Cheng Huang, 19:4, 1988, 321-329, 5.1.1 Random Walks on Z, Robert I. Jewett and Kenneth A. Ross, 19:4, 1988, 330-342, 7.2 Bounds on the Perimeter of an Ellipse via Minkowski Sums, Richard E. Pfiefer, 19:4, 1988, 348-350, C Equivalent Inequalities, Jim Howard and Joe Howard, 19:4, 1988, 350-352, C Looking at the Mandelbrot Set, Mark Bridger, 19:4, 1988, 353-363, 9.8 Codes that Detect and Correct Errors, Chester J. Salwach, 19:5, 1988, 402-416, 9.4 The Fundamental Periods of Sums of Periodic Functions, James Caveny and Warren Page, 20:1, 1989, 32-41, 0.6 Another Proof of Jensen's Inequality, Norman Schaumberger and Bert Kabak, 20:1, 1989, 57-58, C Graphing the Complex Zeros of Polynomials Using Modulus Surfaces, Clff Long and Thomas Hern, 20:2, 1989, 98-105, 0.7, 5.1.5 The Curious Fate of an Applied Problem, Alan H. Schoenfeld, 20:2, 1989, 115-123, 5.1.5, 8.3 Another Proof of Chebysheff's Inequality, Norman Schaumberger, 20:2, 1989, 141-142, C Subharmonic Series, Arthul C. Sogal, 20:3, 1989, 194-200, 5.4.2 Two Elementary Proofs of an Inequality (and 1 1/2 Better Ones), William C. Waterhouse, 20:3, 1989, 201-205 The Root Mean SquareArithmetic MeanGeometric MeanHarmonic Mean Inequality, Roger B. Nelsen, 20:3, 1989, 231, C, 0.4 Evolution of the Function Concept: A Brief Survey, Israel Kleiner, 20:4, 1989, 282-300, 2.2 The AM-GM Inequality via x^(1/x), Norman Schaumberger, 20:4, 1989, 320, C Discrete Dirichlet Problems, Convex Coordinates, and a Random Walk on a Triangle, J.N.Boyd and P.N.Raychowdhury, 20:5, 1989, 385-392 FFF #9. The Countability of the Reals, Ed Barbeau, 20:5, 1989, 403, F, 9.1 FFF # 10. The Uncountability of the Plane, Ed Barbeau, 20:5, 1989, 403-404, F, 9.1 Power Series and Exponential Generating Functions, G. Ervynck and P. Igodt, 20:5, 1989, 411-415, C, 5.4.2 Generalizations of a Complex Number Identity, M.S.Klamkin and V.N.Murty, 20:5, 1989, 415-416, C A Generalization of the limit of [(n!)^(1/n)]/n = e^(-1), Norman Schaumberger, 20:5, 1989, 416-418, C, 5.1.1 FFF #15. Another Proof that 1 = 0, Ed Barbeau, 21:1, 1990, 36, F (also 21:2, 1990, 128) Ways of Looking at n!, Diane Johnson and Roy Dowling, 21:3, 1990, 219-220, C Harmonic, Geometric, Arithmetic, Root Mean Inequality, Sidney Kung, 21:3, 1990, 227, C, 0.4 Tabular Integration by Parts, David Horowitz, 21:4, 1990, 307-313, C, 5.2.5, 5.4.2 The Cauchy Integral Formula, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:4, 1990, 327-329, C A Chaotic Search for i, Gilbert Strang, 22:1, 1991, 3-12, 6.3, 5.1.3 FFF #29. A Simple Description of Sets of Reals, Ed Barbeau, 22:1, 1991, 39, F FFF #30. Is There a Nonmeasurable Set?, Ed Barbeau, 22:1, 1991, 39, F FFF #31. Is There a Nonmeasurable Set (Part 2)?, Ed Barbeau, 22:1, 1991, 40, F FFF #32. A Function Continuous only on the Rationals, Ed Barbeau, 22:1, 1991, 40, F (Also 23:3, 1992, 204) The Root-Finding Route to Chaos, Richard Parris, 22:1, 1991, 48-55, 6.3, 5.4.1 Fractals Illustrate the Mathematical Way of Thinking, Yves Nievergelt, 22:1, 1991, 60-64, C Sofware Review: Chaos and Fractal Software, Jonathan Choate, 22:1, 1991, 65-69, 6.3, 6.7 Another Proof of a Familiar Inequality, Norman Schaumberger, 22:3, 1991, 229-230, C FFF #51. The Converse to Euler's Theorem on Homogeneous Functions, Ed Barbeau, 23:1, 1992, 37-38, F FFF #52. An Application of the Cauchy-Schwartz Inequality, Ed Barbeau, 23:2, 1992, 142, F, 0.2 FFF #53. Opening the Floodgates, Ed Barbeau, 23:2, 1992, 142-143, F Weighted Means of Order r and Related Inequalities: An Elementary Approach, Francois Dubeau, 23:3, 1992, 211-213, C FFF. Surjective Functions, Ed Barbeau, 23:4, 1992, 305, F Inverse Problems and Torricelli's Law, C.W.Groetsch, 24:3, 1993, 210-217, 9.10 Local Conditions for Convexity and Upward Concavity, Donald Francis Young, 24:3, 1993, 224-228 Six Ways to Sum a Series, Dan Kalman, 24:5, 1993, 402-421, 5.4.3 Strictly Increasing Differentiable Functions, Massimo Furi and Mario Martelli, 25:2, 1994, 125-127 Approaches to the Formula for the nth Fibonacci Number, Russell Jay Hendel, 25:2, 1994, 139-142, C, 0.2, 4.5, 5.4.2, 9.3 The Chebyshev Inequality for Positive Monotone Sequences, Roger B. Nelsen, 25:3, 1994, 192, C Extending Bernoulli's Inequality, Ronald L. Persky, 25:3, 1994, 230, C, 0.2 An Optimization Oddity, R. H. Eddy and R. Fritsch, 25:3, 1994, 227-229, C, 5.1.4 Cutting Corners: A Four-gon Conclusion, S. C. Althoen and K. E. Schilling and M. F. Wyneken, 25:4, 1994, 266-279, 0.4, 0.5 Leibniz and the Spell of the Continuous, Hardy Grant, 25:4, 1994, 291-294, 2.2 A New Look at an Old Function, e to the i theta, J. G. Simmonds, 26:1, 1995, 6-10 Continuity on a Set, R. Bruce Crofoot, 26:1, 1995, 29-30 Can We See the Mandelbrot Set?, John Ewing, 26:2, 1995, 90-99, 6.3 FFF #88. A Consequence of the Nearness of Rationals to Reals, Mark Lynch, 26:3, 1995, 221, F (see also 28:4, 1997, 286-287) The Hyperbolic Number Plane, Garret Sobczyk, 26:4, 1995, 268-280, 0.7 More Mathematical Gems, Ross A. Honsberger, 26:4, 1995, 281-283, 9.3 The Mean of the Squares Exceeds the Square of the Means (Proof Without Words), Roger B. Nelsen, 26:5, 1995, 368, C Recursive Formulas for zeta(2k) and the Dirichlet function L(2k-1), Xuming Chen, 26:5, 1995, 372-376 A Complex Approach to the Laws of Sines and Cosines, William V. Grounds, 27:2, 1996, 108, C, 0.6 Why Polynomials Have Roots, Javier Gomez-Calderon and David M. Wells, 27:2, 1996, 90-94, 5.1.2, 5.7.1 A Terminally Discontinuous Function, James L. Hartman, 27:3, 1996, 211-212, C A Serendipitous Encounter with the Cantor Ternary Function, L. F. Martins and I. W. Rodrigues, 27:3, 1996, 193-198 FFF #107. All Complex Numbers Are Real, Walter Reno, 27:4, 1996, 283, F Dynamic Function Visualization, Mark Bridger, 27:5, 1996, 361-369, 5.1.5, 5.8 Countability via Bases Other Than 10, Pat Touhey, 27:5, 1996, 382-384, C When Is a Function's Inverse Equal to Its Reciprocal?, Robert Anschuetz II and H. Sherwood, 27:5, 1996, 388-393 An Application of Elementary Geometry in Functional Analysis, Ji Gao, 28:1, 1997, 39-42, 0.4 A Proof that Polynomials Have Roots, Uwe F. Mayer, 28:1, 1997, 58, C FFF #116. Life at Infinity and Beyond, Albert Eagle, 28:3, 1997, 198-199, F Exploiting a Factorization of xn-yn, Richard E. Bayne, James E. Joseph, Myung H. Kwack, and Thomas H. Lawson, 28:3, 1997, 206-209, C The World's Biggest Taco, David D. Bleecker and Lawrence J. Wallen, 29:1, 1998, 2-12, 5.2.7, 5.3.4 The Fundamental Theorem of Algebra, Michael D. Hirschhorn, 29:4, 1998, 276-277 Galileos Ratios (Proof Without Words), Alfinio Flores, 29:4, 1998, 300, C FFF #131. A New Identity for the Ceiling Function, Ed Barbeau, 29:4, 1998, 302, F 9.6 Numerical analysis The Delta Method Approximates the Roots of Polynomial Equations, Joseph J. Ettl, 5:2, 1974, 19-20, 0.7 The Interpolating Polynomial, Roger G. Lindley, 5:2, 1974, 21-31, 0.7 Computer Computation of Integrals, Arne Broman, 5:4, 1974, 4-11 An Integral Approximation Exact for Fifth-Degree Polynomials, Burt M. Rosenbaum, 7:3, 1976, 10-14, 5.2.2 Finding Super Accurate Integers, Pasquale Scopelliti and Herbert Peebles, 7:3, 1976, 52-54, 0.2 Remarks Concerning the Delta Method for Approximating Roots, Stewart M. Venit, 7:4, 1976, 1-3 Interpolation and Square Roots, James E. McKenna, 7:4, 1976, 49-50, C Salvaging a Broken Line, Glenn D. Allinger, 8:1, 1977, 47-50 A New Look at Some Old Problems in Light of the Hand Calculator, J.E.Schultz and B.K.Waits, 10:1, 1979, 20-27, 0.8 Calculator-Demonstrated Math Instruction, George McCarty, 11:1, 1980, 42-48, 5.1.1, 5.2.2, 5.4.2 Bezier Polynomials in Computer-Aided Geometric Design, Cliff Long and Vic Norton, 11:5, 1980, 320-325 Fixed Point IterationAn Interesting Way to Begin a Calculus Course, Thomas Butts, 12:1, 1981, 2-7, 1.2, 5.1.1 The Electronic Spreadsheet and Mathematical Algorithms, Deane E. Arganbright, 15:2, 1984, 148-157, 4.1, 5.4.1, 7.3 An Almost Correct Series, R.A.Mureika and R.D.Small, 15:4, 1984, 334-338, C, 5.4.2 The Bisection Algorithm is Not Linearly Convergent, Sui-Sun Cheng and Tzon-Tzer Lu, 16:1, 1985, 56-57, C, 0.7 Nested Polynomials and Efficient Exponential Algorithms for Calculators, Dan Kalman and Warren Page, 16:1, 1985, 57-60, C, 0.2 Rediscovering Taylor's Theorem, Dan Kalman, 16:2, 1985, 103-107 Ill-Conditioning: A Constant Surprise in Computational Mathematics, Bruce H. Edwards and Patricia L. Sharpe, 16:2, 1985, 141-148 Computing Large Factorials, Gerard Kiernan, 16:5, 1985, 403-412, 9.3 How Far Can You Stick Out Your Neck?, Sydney C. K. Chu and Man-Keung Siu, 17:2, 1986, 122-132, 5.4.2 An Interview with George B. Dantzig: The Father of Linear Programming, Donald J. Albers and Constance Reid, 17:4, 1986, 292-304, 2.3 Controlling Roundoff Errors in Sums, Harley Flanders, 18:2, 1987, 153-156, 8.1 A Clamped Simpson's Rule, James A. Uetrecht, 19:1, 1988, 43-52, 5.2.2 An Efficient Logarithm Algorithm for Calculators, James C. Kirby, 19:3, 1988, 257-260, C, 5.3.2 What's Significant about a Digit?, David A. Smith, 20:2, 1989, 136-139, C, 0.1 A Rich Differential Equation for Computer Demonstrations, Bernard W. Banks, 21:1, 1990, 45-50, 6.4, 6.5 Connecting the Dots Parametrically: An Alternative to Cubic Splines, Wilbur J. Hildebrand, 21:3, 1990, 208-215, 4.6, 5.6.1 Some Examples Illustrating Richardson's Improvement, Stephen Schonefeld, 21:4, 1990, 314-322 Using Fourier Analysis in Digital Signal Processing, Lyndell M. Kerley and William P. Dotson, 23:4, 1992, 320-328 Interpolating Polynomials and Their Coordinates Relative to a Basis, David R. Hill, 23:4, 1992, 329-333, C Iterative Methods in Introductory Linear Algebra, Donald R. LaTorre, 24:1, 1993, 79-88, 4.1, 4.5 Complex Vectors and Image Identification, Lyndell Kerley and Jeff Knisley, 24:2, 1993, 166-174, 8.3 Fitting a Logistic Curve to Data, Fabio Cavallini, 24:3, 1993, 247-253, 9.10 Angle Trisection by Fixed Point Iteration, L. F. Martins and I. W. Rodrigues, 26:3, 1995, 205-208, 0.3 Numerical Methods for Improper Integrals, Gerald Flynn, 26:4, 1995, 284-291, 5.2.10 Cubic Splines from Simpson's Rule, Nishan Krikorian and Mark Ramras, 27:2, 1996, 124-126, C, 5.2.2 Gaussian Elimination and Dynamical Systems, Kathie Yerion, 28:2, 1997, 89-97, 4.6 9.7 Modern and non-Euclidean geometry Finite Euclidean Geometries of Order p, Hilda Duncan and David Emery, 8:1, 1977, 4-10 The Motion Geometry of a Finite Plane, Tom Brieske and Johnny Lott, 9:4, 1978, 259-260 Convex Coordinates, Probabilities, and the Superposition of States, J.N.Boyd and P.N.Raychowdhury, 18:3, 1987, 186-194, 4.2 On the Radial Packing of Circles in the Plane, P.D.Weidman and K. Pfendt, 21:2, 1990, 112-120, 0.4 Two Trisectrices for the Price of One Rolling Coin, Jack Eidswick, 24:5, 1993, 422-430, 0.3, 0.4 Investigating Circles in the Poincare Disk Using Geometer's Sketchpad, Bill Juraschek, 25:2, 1994, 145-154 FFF #82. Why Wiles' Proof of the Fermat Conjecture is False, Ed Barbeau, 25:5, 1994, 434-435, F, 9.3 Kepler, the Taxicab Metric, and Beyond: An Isoperimetric Primer, Lawrence J. Wallen, 26:3, 1995, 178-190 The Moise Plane, James R. Boone, 27:3, 1996, 182-185, 0.3 Capturing the Origin with Random Points: Generalizations of a Putnam Problem, Raph Howard and Paul Sisson, 27:3, 1996, 186-192, 7.2 Polishing the Star, Cheng-Syong Lee, 29:2, 1998, 144-145, C Making Squares from Pythagorean Triangles, Charles Jepsen and Roc Yang, 29:4, 1998, 284-288, 9.3 Prelude to Musical Geometry, Brian J. McCartin, 29:5, 1998, 354-370, 0.3, 9.4 9.8 Topology and differential geometry One-Sided Surfaces and Orientability, John W. Woll, Jr., 2:1, 1971, 5-18 On the Use of Functions, William E. Hartnett, 3:2, 1972, 25-28, 9.5 Approximations of Square Roots, Leon Wejntrob, 14:5, 1983, 427-430, 0.2, 0.7 The Fractal Geometry of Mandelbrot, Anthony Barcellos, 15:2, 1984, 98-114, 0.4 Antoine's Necklace or How to Keep a Necklace From Falling Apart, Beverly L. Brechner and John C. Mayer, 19:4, 1988, 306-320 Looking at the Mandelbrot Set, Mark Bridger, 19:4, 1988, 353-363, 9.5 FFF #33. A Topological Spoof, Ed Barbeau, 22:1, 1991, 41, F (also 22:5, 1991, 405) Zorn's Llama (cartoon), David Egley, 22:3, 1991, 234, C FFF. The Continuum Hypothesis, Ed Barbeau, 24:4, 1993, 346, F Independence of Path and All That, Robert E. Terrell, 27:4, 1996, 272-276, 5.7.3 Mobius or Almost Mobius, Cliff Long, 27:4, 1996, 277, C Visualizing the Geometry of Lissajous Knots, John Meier and Jessica Wolfson, 28:3, 1997, 211-216, 5.6.1 Numerically Parametrizing Curves, Steven Wilkinson, 29:2, 1998, 104-119, 5.6.1, 5.6.2 Looking at Order of Integration and a Minimal Surface, Thomas Hern and Cliff Long and Andy Long, 29:2, 1998, 128-133, 5.7.2 9.9 Operations research, including linear programming A Strategy for a Class of Games, R.S.Pierce, 2:2, 1971, 55-62 A Coin Game, Thomas P. Dence, 8:4, 1977, 244-246, 5.4.2, 9.10 The Mathematics of Tucker: A Sampler, Albert W. Tucker, 14:3, 1983, 228-232, 4.1, 9.10 Three Person Winner-Take-All Games with McCarthy's Revenge Rule, Philip D. Straffin, Jr., 16:5, 1985, 386-394 A Division Game: How Far Can You Stretch Mathematical Induction?, William H. Ruckle, 18:3, 1987, 212-218, 0.9, 3.2 The Simplex Method of Linear Programming on Microcomputer Spreadsheets, Frank S.T.Hsiao, 20:2, 1989, 153-160, 1.2 A Tool for Teaching Linear Programming within MATLAB, David R. Hill, 21:1, 1990, 55-56, C, 4.1 Optimal Locations, Bennett Eisenberg and Samir Khabbaz, 23:4, 1992, 282-289, 0.4, 3.1 Integer Programming, Joe F. Wampler and Stephen E. Newman, 27:2, 1996, 95-100 Presenting the Kuhn-Tucker Conditions Using a Geometric Approach, Patrick J. Driscoll and William P. Fox, 27:2, 1996, 101-108, 5.7.1 How to Pump a Swing, Stephen Wirkus and Richard Rand and Andy Ruina, 29:4, 1998, 266-275, 6.6 9.10 Mathematical modelling and simulation A Program for Keno, Karl J. Smith, 3:2, 1972, 16-20, 7.1 Dividing Inheritances, Howard E. Reinhardt, 4:2, 1973, 30-33 A Geometric Approach to Linear Programming in the Two-Year College, Pat Semmes, 5:1, 1974, 37-40, 0.2 Some Applications of Modeling in Mathematics for Two-Year Colleges, Robert S. Fisk, 6:4, 1975, 10-13 What is an Application of Mathematics?, Clifford Sloyer, 7:3, 1976, 19-26, 5.1.4 Some Effects of Rationing, James A. Burns, 8:4, 1977, 203-206 A Coin Game, Thomas P. Dence, 8:4, 1977, 244-246, 5.4.2, 9.9 An Environmental Problem, Roland H. Lamberson, 8:4, 1977, 252-253 Biorythms: A Computer Program, James G. Troutman, 9:2, 1978, 101-103 Foresight-Insight-Hindsight, James C. Frauenthal and Thomas L. Saaty, 10:4, 1979, 245-254 Binomial Baseball, Eugene M. Levin, 12:4, 1981, 260-266, 7.2 Minimally Favorable Games, Michael W. Chamberlain, 14:2, 1983, 159-164, 7.2 The Mathematics of Tucker: A Sampler, Albert W. Tucker, 14:3, 1983, 228-232, 4.1, 9.9 A Monte Carlo Simulation Related to the St. Petersburg Paradox, Allan J. Caesar, 15:4, 1984, 339-342, 5.4.2, 7.2 Differential Equations and the Battle of Trafalgar, 16:2, 1985, 98-102, 6.1, 6.2 Harvesting a Grizzly Bear Population, Michael Caulfield and John Kent and Daniel McCaffery, 17:1, 1986, 34-46, 4.1, 4.6 The Problem of Managing a Strategic Reserve, David Cole and Loren Haarsma and Jack Snoeyink, 17:1, 1986, 48-60, 5.1.4, 6.1 How to Balance a Yardstick on an Apple, Herbert R. Bailey, 17:3, 1986, 220-225, 6.5 Facility Location Problems, Fred Buckley, 18:1, 1987, 24-32, 3.1 Positioning of Emergency Facilities in an Obstructed Traffic Grid, Jeff Cronk and Duff Howell and Keith Saints, 18:1, 1987, 34-43, 7.2 Transitions, Jeanne L. Agnew and James R. Choike, 18:2, 1987, 124-133, 0.7, 5.1.3, 5.6.1 The Probability that the "Sum of the Rounds" Equals the "Round of the Sum", Roger B. Nelsen and James E. Schultz, 18:5, 1987, 390-396, 7.2, 7.3 Constructing a Map from a Table of Intercity Distances, Richard J. Pulskamp, 19:2, 1988, 154-163, 3.1, 4.5 Theory, Simulation and Reality, Peter Flusser, 19:3, 1988, 210-222, 7.2, 7.3 Ties at Rotation, Howard Lewis Penn, 19:3, 1988, 230-239, 3.2 Pseudorandom Number Generators and a Four-Bit Computer System, James C. Reber, 20:1, 1989, 54-55, C, 6.3, 9.3 Spiders, Computers, and Markov Chains, Jim R. Ridenhour, 21:4, 1990, 323-326, 8.1 Discrete Dynamical Modeling, James T. Sandefur, 22:1, 1991, 13-22, 6.3 The Orbit Diagram and the Mandelbrot Set, Robert L. Devaney, 22:1, 1991, 23-38, 6.3 Theory vs. Computation in Some Very Simple Dynamical Systems, Larry Blaine, 22:1, 1991, 42-44, C, 6.3 Using Simulation to Study Linear Regression, LeRoy A. Franklin, 23:4, 1992, 290-295, 7.3 A Random Ladder Game: Permutations, Eigenvalues, and Convergence of Markov Chains, Lester H. Lange and James W. Miller, 23:5, 1992, 373-385, 4.1, 4.5 Does What Goes Up Take the Same Time to Come Down?, P. Glaister, 24:2, 1993, 155-158, C, 5.2.3 Inverse Problems and Torricelli's Law, C.W.Groetsch, 24:3, 1993, 210-217, 9.5 The Best Shape for a Tin Can, P.L.Roe, 24:3, 1993, 233-236, C, 5.1.4 Fitting a Logistic Curve to Data, Fabio Cavallini, 24:3, 1993, 247-253, 9.6 Determining Sample Sizes for Monte Carlo Integration, David Neal, 24:3, 1993, 254-262, C, 5.2.2, 7.3 Quenching a Thirst with Differential Equations, Martin Ehrismann, 25:5, 1994, 413-418, 6.4 A Progression of Projectiles: Examples from Sports, Roland Minton, 25:5, 1994, 436-442, C, 6.2, 6.4 A Balloon Experiment in the Classroom, Thomas Gruszka, 25:5, 1994, 442-444, C, 6.1, 6.4 Experiments with Probes in the Differential Equations Classroom, David O. Lomen, 25:5, 1994, 453-457, 6.2, 6.4 Projectile Motion with Arbitrary Resistance, Tilak de Alwis, 26:5, 1995, 361-367, 6.2 The Meeting of the Plows: A Simulation, Jerome L. Lewis, 26:5, 1995, 395-400 A Home Heating Model for Calculus Students, Prashant S. Sansgiry and Constance C. Edwards, 27:5, 1996, 394-397, C, 6.2 Take a Walk on the Boardwalk, Stephen D. Abbott and Matt Richey, 28:3, 1997, 162-171, 4.5 The Average Distance Between Points in Geometric Figures, Steven R. Dunbar, 28:3, 1997, 187-197, 7.2 Discovering Differential Equations in Optics, William Mueller and Richard Thompson, 28:3, 1997, 217-223, 6.1 The Long Arm of Calculus, Ethan Berkove and Rich Marchand, 29:5, 1998, 376-386, 5.7.1 The Probability of Passing a Multiple-Choice Test, Milton P. Eisner, 29:5, 1998, 421-426, 9.11 Software for advanced topics A Mathematics Software Database, R.S.Cunningham and David A. Smith, 17:3, 1986, 255-266, 0.10, 3.4, 4.8, 5.8, 6.7, 7.4 A Mathematics Software Database Update, R.S.Cunningham and David A. Smith, 18:3, 1987, 242-247, 0.10, 3.4, 4.8, 5.8, 6.7, 7.4 The Compleat Mathematics Software Database, R.S.Cunningham and David A. Smith, 19:3, 1988, 268-289, 0.10, 3.4, 4.8, 5.8, 6.7, 7.4 Binary Operations, David P. Kraines and Vivian Y. Kraines and David A. Smith, 21:3, 1990, 240-241, C, 9.4 A Model for Your Curriculum?, Douglas Campbell, 22:2, 1991, 163-166 EXP, Version 3.02 for Windows, Jon Wilkin, 27:1, 1996, 68-73, 0.10 Scientific WorkPlace, Jerry Thornhill, 27:4, 1996, 305-311 Standard Math Interactive, William C. Bauldry, 29:3, 1998, 237-241 Mathematica Sortware Review, Steven Wilkinson, 29:4, 1998, 323-329, 5.8 10 Book Reviews The History of the Calculus, Carl Boyer, 1:1, 1970, 60-86, summarized by Carl Boyer Intermediate Algebra, Joseph Newmyer and Gus Klentes, 5:1, 1974, 60-61, reviewed by Edward B. Wright Elementary Linear Algebra, Paul C. Shields, 5:1, 1974, 61-62, reviewed by Frank Hacker Elementary Functions with Coordinate Geometry, Earl Swokowski, 5:1, 1974, 62, reviewed by Harry L. Hancock Basic Technical Mathematics with Calculus, Allyn J. Washington, 5:1, 1974, 62-63, reviewed by Judith Gersting Programmed Mathematics for Nurses, George Sackheim and Lewis Robins, 5:1, 1974, 63-64, reviewed by Allen P. Angel Business MathematicsA Collegiate Approach, Nelda W. Roueche, 5:2, 1974, 55-56, reviewed by Lawrence Clar Algebra Programmed, R.H.Alwin and R.D.Hackworth and J. Howland, 5:2, 1974, 56-57, reviewed by Gerald M. Smith Mathematical Ideas, 2nd ed., Charles D. Miller and Vern E. Heeren, 5:2, 1974, 57, reviewed by Peter A. Lindstrom Geometry: A Guided Inquiry, G.D.Chakerian and C.D.Crabill and S.K.Stein, 5:2, 1974, 57-58, reviewed by Arthur P. Dull Essentials of College Algebra, 2nd ed., E.F.Beckenbach and I. Drooyer and William Wooten, 5:2, 1974, 58-59, reviewed by Olene C. Zacher Elementary Statistics, Robert R. Johnson, 5:2, 1974, 59, reviewed by Philip F. Reichmeider Basic Algebra Techniques: Concepts and Manipulations, W. Burryl McWaters and Anita McWaters and Robert L. Drennen, 5:3, 1974, 41-42, reviewed by Eugene P. Cooper Mathematics with Applications in the Management, Natural, and Social Sciences, Margaret L. Lial and Charles D. Miller, 5:3, 1974, 42, reviewed by H. Eugene Hall Applied Mathematics for Technical Programs (Trigonometry), Robert G. Moon, 5:3, 1974, 42-43, reviewed by Amogene F. DeVaney Integrated Algebra and Trigonometry with Analytic Geometry, 3rd ed., Robert C. Fisher and Allen D. Ziebur, 5:3, 1974, 43-44, reviewed by S.C.Tefteller Introduction to Probability and Statistics, 5th ed., Henry L. Alder and Edward B. Roessler, 5:3, 1974, 44-45, reviewed by Alan C. Tucker Mathematics and Liberal Arts, Jack C. Gill, 5:4, 1974, 31-32, reviewed by Cameron Douthitt Analytic Geometry with Vectors, Douglas F. Riddle, 5:4, 1974, 32, reviewed by Don Gallagher Linear Algebra, Paul J. Knopp, 5:4, 1974, 32-33, reviewed by Shelba Morman Linear Mathematics, Philip Gillett, 5:4, 1974, 34, reviewed by Peter A. Lindstrom Understanding Statistics, 1st ed., Arnold Naiman and Robert Rosenfeld and Gene Zirkel, 6:1, 1975, 27-28, reviewed by Ara B. Sullenberger Precalculus Mathematics: A Functional Approach, James Connelly and Robert Fratanglo, 6:1, 1975, 28-29, reviewed by Lawrence Gillagan Elementary Algebra, 1st ed., Robert G. Moon and Robert D. Davis, 6:1, 1975, 29, reviewed by Thomas L. Alexander Conceptions of Space, Beginning Geometries for College, William Hemmer, 6:3, 1975, 27-28, reviewed by Jean B. Smith Basic Mathematics for Management and Economics, Lyman C. Peck, 6:3, 1975, 28, reviewed by Cherry Mauk Fundamental MathA Mixed Media Program, Units I-IV, 6:3, 1975, 28-29, reviewed by R. DeJean The Slide Rule, Electric Hand Calculators, and Metrification in Problem Solving, 3rd ed., George C. Beakly and H.W.Leach, 6:3, 1975, 29-30, reviewed by Terral McKellips Modern Mathematics: An Elementary Approach, 2nd ed., Ruric E. Wheeler, 6:4, 1975, 17-18, reviewed by Lawrence A. Trivieri MathematicsA Human Endeavor, Harold R. Jacobs, 6:4, 1975, 19, reviewed by Gerald M. Smith Introduction to Finite Mathematics, 3rd ed., John G. Kemeny and J. Laurie Snell and Gerald L. Thompson, 6:4, 1975, 19-20, reviewed by Bruce King Plane Trigonometry, A New Approach, C.L.Johnson, 7:1, 1976, 24-25, reviewed by Nancy Holder Contemporary Mathematics, Bruce E. Meserve and Max A. Sobel, 7:1, 1976, 25-26, reviewed by James G. Troutman Elementary Algebra: A Worktext, Vivian Shai Groza, 7:1, 1976, 25, reviewed by Ken Seydel Introductory Algebra, Alphonse Gobran, 7:2, 1976, 40-41, reviewed by John P. Pace Developing Skills in Algebra: A Lecture Work-text, J. Louis Nanny and John L. Cable, 7:2, 1976, 41-42, reviewed by Wesley W. Tom Arithmetic Module Series, Thomas J. McHale and Paul T. Witzke, 7:3, 1976, 38-39, reviewed by Donald E. Brown Elementary Functions and Analytic Geometry, Flanders and Price, 7:3, 1976, 39-40, reviewed by Mary Ann DeVincenzo Carl Friedrich Gauss, A Biography, Tord Hall, 7:3, 1976, 40, reviewed by Ralph Mansfield Ingenuity in Mathematics, Ross Honsberger, 7:4, 1976, 26-27, reviewed by Peter A. Lindstrom Fundamentals of Modern Mathematics, William M. Setek, 7:4, 1976, 27-28, reviewed by Marilyn F. Semran A Guide to BASIC Programming, 2nd ed., Donald D. Spencer, 7:4, 1976, 28, reviewed by Donald Brown and Suzanne Brown Mathematical Gems, Ross Honsberger, 8:1, 1977, 35-36, reviewed by Peter A. Lindstrom Fortran IV Programming and Applications, C.Joseph Sass, 8:1, 1977, 36-37, reviewed by Mary Ann DeVincenzo Statistics, Norma Gilbert, 8:2, 1977, 88-89, reviewed by Leland D. Graber Calculus, A Practical Approach, Kenneth Kalmanson and Patricia C. Kenschaft, 8:2, 1977, 89, reviewed by Dennis M. Rodriquez Fundamental Mathematics (filmstrips), James Streeter and Gerald Alexander, 8:3, 1977, 165-166, reviewed by John McGregor Mathematics Method Program, John F. LeBlanc, et al., 8:3, 1977, 166-167, reviewed by Suzanne Brown Differential Equations and Their Applications: An Introduction to Applied Mathematics, Martin Braun, 8:4, 1977, 231-232, reviewed by David Farnsworth Elementary Computer Applications in Science, Engineering, and Business, Ian Barrodale, et al., 8:4, 1977, 232-233, reviewed by Samiha Mourad The Mathematics of the Elementary School, Edward G. Begle, 8:5, 1977, 281-282, reviewed by David E. Moxness The Power of Relevant Mathematics: Basic Concepts, Kenneth L. Whipkey and Mary Nell Whipkey and Joanne Jarocki, 8:5, 1977, 282, reviewed by Jean B. Smith An Introduction to the History of Mathematics, 4th ed., Howard Eves, 9:2, 1978, 84-86, reviewed by John Niman Essentials of Precalculus Mathematics, Dennis T. Christy, 9:3, 1978, 167-168, reviewed by Jean Lane Mathematics with Applications in Management and Economics, 4th ed., Earl K. Bowen, 9:3, 1978, 168-169, reviewed by Donald E. Brown The Ages of Mathematics(4 volumes), Michael Moffatt and Charles Flinn and Cynthia Conwell Cook and Peter D. Cook, 9:4, 1978, 222-224, reviewed by Frank Swetz Understanding and Programming Computers, Samiha Mourad, 9:5, 1978, 288-289, reviewed by Mary Ann DeVincenzo Algebra: A Fundamental Approach, William M. Setek, 9:5, 1978, 289, reviewed by Marilyn F. Semrau The Psychology of Learning Mathematics, Richard R. Skemp, 10:1, 1979, 44-45, reviewed by Shelba Jean Morman Analytic Trigonometry with Applications, Raymond A. Barnett, 10:1, 1979, 45-46, James C. Kropa Analytic Geometry and the Calculus, 3rd ed., A.W.Goodman, 10:2, 1979, 123-124, reviewed by Donald C. Fuller Why the Professor Can't Teach: Mathematics and the Dilemma of University Education, Morris Kline, 10:3, 1979, 205-206, reviewed by Elaine Johnson Tatham Mathematical Recreations and Essays, W.W.Rouse Ball and H.S.M.Coxeter, 10:4, 1979, 283-286, reviewed by G.L.Alexanderson Elementary Number Theory, David M. Burton, 10:4, 1979, 287-288, reviewed by Henry J. Ricardo The Historical Roots of Elementary Mathematics, Lucas N. H. Bunt, 10:4, 1979, 288-289, reviewed by Barnabas Hughes An Introduction to Mathematical Models in the Life and Social Sciences, Michael Olinick, 10:5, 1979, 355-356, reviewed by Kenneth E. Martin What is the Name of This Book?, Raymond M. Smullyan, 11:1, 1980, 56-58, reviewed by Klaus Galda Mathematical Morsels, Ross Honsberger, 11:2, 1980, 127-128, reviewed by Leon Bankoff Intermediate Algebra, 3rd, Mervin L. Keedy and Marvin L. Bittinger, 11:3, 1980, 218-219, reviewed by Sarah Christiansen Complex Variables, George Polya and Gordon Latta, 11:5, 1980, 341-343, reviewed by S.S.Holland, Jr Mathematically Speaking, Morton Davis, 12:1, 1981, 58-59, reviewed by Marilyn Mays Gilchrist Overcoming Math Anxiety, Sheila Tobias, 12:1, 1981, 59-61, reviewed by Henry Africk Mind Over Math, Stanley Kogelman and Joseph Warren, 12:1, 5-61, reviewed by Henry Africk Mathematics: The Loss of Certainty, Morris Kline, 12:2, 1981, 141-142, reviewed by R.P.Boas Functions and Graphs, 3rd ed., Earl W. Swokowski, 12:3, 1981, 222-223, reviewed by Helen D. Bourgeois Mindstorms: Children, Computers, and Powerful Ideas, Seymour Papert, 12:4, 1981, 285-286, reviewed by Pierre J. Malraison The Mathematical Experience, Philip J. Davis and Reuben Hersh, 13:1, 1982, 72-73, reviewed by Henry S. Tropp The Mathematical Gardner, David A. Klarner, ed., 13:3, 1982, 217-218, reviewed by Paul J. Campbell Gauss/A Biographical Study, W.K.Buhler, 13:4, 1982, 286-288, reviewed by G.L.Alexanderson Two-Year College Mathematics Readings, Warren Page, ed., 13:4, 1982, 288, reviewed by J.E.Householder The Real World and Mathematics, Hugh Burkhardt, 14:1, 1983, 81-82, reviewed by H.O.Pollak Great Moments in Mathematics (Before 1650 and After 1650), Howard Eves, 14:3, 1983, reviewed by R.P.Boas Infinite Processes/Background to Analysis, A. Gardner, 14:4, 1983, 365-366, reviewed by G.L.Alexanderson Maxima and Minima Without Calculus, Ivan Niven, 14:5, 1983, 415, reviewed by Lester H. Lange Neymanfrom life, Constance Reid, 15:1, 1984, 82-84, reviewed by Robert V. Hogg The Fractal Geometry of Nature, Benoit B. Mandelbrot, 15:2, 1984, 175-177, reviewed by Don Chakerian Mir Publishers' Series (Moscow), 15:3, 1984, 281-282, reviewed by Peter J. Hilton Lectures in Geometry: Analytic Geometry, M.M.Postnikov, 15:3, 1984, 282-283, reviewed by Peter J. Hilton Beginning Statistics with Data Analysis, Frederck Mosteller and Stephen E. Fienberg and Robert E.K.Rourke, 15:4, 1984, 360-361, reviewed by Ann Watkins The Future of College Mathematics, Anthony Ralston and Gail S. Young, eds., 15:5, 1984, 458-460, reviewed by Stephen B. Maurer Classics of Mathematics, Ronald Calinger, ed., 16:1, 1985, 85-86, reviewed by Charles V. Jones Geometry and Algebra in Ancient Civilizations, B.L.Van der Waerden, 16:2, 185, 169-170, reviewed by H.S.M.Coxeter Selecta: Expository Writing, P.R.Halmos, 16:2, 1985, 171, reviewed by R.P.Boas A Convergence of LivesSofia Kovalevskaia: Scientist, Writer, Revolutionary, Ann Hibner Koblitz, 16:3, 1985, 240-242, reviewed by D. Bushaw New Directions in Two-Year College Mathematics, Donald J. Albers, ed., 16:3, 1985, 242-247, reviewed by Philip Cheifetz Learning Mathematics: The Cognitive Science Approach to Mathematics Education, Robert B. Davis, 16:4, 1985, 319-322, reviewed by James J. Kaput Superior Beings. If The Exist, How Would We Know?: Game-Theoretic Implications of Omniscience, Omnipotence, Immortality, and Incomprehensibility, Steven J. Brams, 16:5, 1985, 430-431, reviewed by Thomas P. Faase Problem-Solving Through Problems, Loren C. Larson, 16:5, 1985, 432, reviewed by G.L.Alexanderson Mathematics: People, Problems, Results, Douglas M. Campbell and John C. Higgins, eds., 17:1, 1986, 108-109, reviewed by Philip J. Davis Mathematical Snapshots, 3rd ed., H. Steinhaus, 17:2, 1986, 197-199, I.J.Schoenberg Mathematical PeopleProfiles and Interviews, Donald J. Albers and G.L.Alexanderson, eds., 17:3, 1986, 275, reviewed by Ivan Niven The History of Mathematics: An Introduction, David M. Burton, 17:4, 1986, 373-375, reviewed by David Wheeler Mathematics and Optimal Form, Stefan Hildebrandt and Anthony Tromba, 18:1, 1987, 84-85, reviewed by Ross Honsberger Mathematical Applications of Electronic Spreadsheets, Dean E. Arganbright, 18:2, 1987, 175, reviewed by Edward Page Cross-Cultural Studies in Cognition and Mathematics, David F. Lancy, 18:3, 1987, 259-261, reviewed by John W. Berry Mathematical Problem Solving, Alan H. Schoenfeld, 18:4, 1987, 354-355, reviewed by Douglas B. McLeod Toward a Lean and Lively Calculus, Ronald G. Douglas, ed., 18:5, 1987, 439-442, reviewed by L.C.Moore and David A. Smith The History of Statistics: The Measurement of Uncertainty Before 1900, Stephen M. Stigler, 19:1, 1988, 94-95, reviewed by Gottfried E. Noether The Mathematical Description of Shape and Form, E.A.Lord and C.B.Wilson, 19:2, 1988, 201, reviewed by Thomas F. Banchoff The Shape of Space, Jeffrey R. Weeks, 19:2, 1988, 202, reviewed by Thomas Banchoff A Budget of Trisections, Underwood Dudley, 20:2, 1989, 180-181, reviewed by Doris Schattschneider Discrete Thoughts: Essays on Mathematics, Science, and Philosophy, Mark Kac and Gian-Carlo Rota and Jacob T. Schwartz, 20:3, 1989, 272-273, reviewed by Peter W. Renz Women of Mathematics: A Biobibliographic Sourcebook, Louise S. Grinstein and Paul J. Campbell, eds., 20:4, 1989, 360-361, reviewed by Barry Schiller and Helen Salzberg To Infinity and Beyond: A Cultural History of the Infinite, Eli Maor, 20:4, 1989, 361-362, reviewed by Richard K. Guy Chaos: Making a New Science, James Gleick, 20:5, 1989, 458-459, reviewed by Robert L. Devaney For All Practical Purposes: Introduction to Contemporary Mathematics, COMAP, 21:1, 1990, 78-80, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Module 1: Management Science, COMAP, 21:2, 1990, 164-165, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Module 2: Statistics, COMAP, 21:3, 1990, 260-262, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Module 3: Social Choice, COMAP, 21:4, 1990, 348-349, reviewed by Martin E. Flashman For All Practical Purposes: Introduction to Contemporary Mathematics, Modules 4 and 5: On Size and Shape and Computer Science, COMAP, 21:5, 1990, 436-437, reviewed by Martin E. Flashman Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics, Robert L. Devaney, 22:1, 1991, 82-84, reviewed by Thomas Scavo Felix Klein and Sophus Lie: Evolution of the Idea of Symmetry in the Nineteenth Century, I.M.Yaglom, 22:2, 1991, 178-180, reviewed by Ed Barbeau Advanced Mathematical Thinking, Tommy Dreyfus, et al., 22:3, 1991, 268, reviewed by Annie Selden Mathematical Visions: The Pursuit of Geometry in Victorian England, Joan L. Richards, 22:4, 1991, 355-356, reviewed by J.J.Tattersall Transition to Chaos: The Orbit Diagram and the Mandelbrot Set (video), Robert L. Devaney, 22:5, 1991, 455-456, reviewed by Kathirgama Nathan Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics (video), Robert L. Devaney, 22:5, 1991, 456-457, reviewed by Kathirgama Nathan The Crest of the Peacock: Non-European Roots of Mathematics, George Gheverghese Joseph, 23:1, 1992, 82-84, reviewed by Victor J. Katz Escalante, the Best Teacher in America, Jay Mathews, 23:2, 1992, 173-175, reviewed by Peter Ross Visualization in Teaching and Learning Mathematics, Walter Zimmerman and Steve Cunningham, eds., 23:3, 1992, 258-260, reviewed by James J. Kaput Ethnomathematics: A Multicultural View of Mathematical Ideas, Marcia Asher, 23:4, 1992, 353-355, reviewed by Frank Swetz Japanese Grade 7-9 Mathematics, Kunihiko Kodaira, ed., 23:5, 1992, 445-448, reviewed by Richard Askey Discrete Algorithmic Mathematics, Stephen B. Maurer and Anthony Ralston, 24:1, 1993, 107-108, reviewed by David E. Flesner Not Knot (video), Geometry Center of the University of Minnesota, 24:2, 1993, 197-198, reviewed by Mark Kidwell Solid Shape, Jan J. Koenderink, 24:3, 1993, 282-284, reviewed by Les Lange Exploring Mathematics with Your Computer, Arthur Engel, 25:2, 1994, 170-171, reviewed by Mark E. Saul The Search for E. T. Bell, Constance Reid, 25:3, 1994, 253-254, reviewed by Underwood Dudley A History of Mathematics: An Introduction, Victor Katz, 25:4, 1994, 347-348, reviewed by Jim Tattersall Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, Atsuyuki Okabe, Barry Boots, and Kokichi Sugihara, 26:1, 1995, 79-81, reviewed by Marjorie Senechal Essays in Humanistic Mathematics, Alvin White, ed., 26:2, 1995, 170, reviewed by Keith Devlin Visual Mathematics, Michele Emmer, guest editor, 26:4, 1995, 341-342, reviewed by Harry Bixler The Mathematical Traveler: Exploring the Grand History of Numbers, Calvin C. Clawson, 26:5, 1995, 417-418, reviewed by Frank Swetz Shadows of the Mind, Roger Penrose, 27:2, 1996, 162-163, reviewed by Peter Hilton Five Hundred Mathematical Challenges, Edward J. Barbeau, Mussay S. Klamkin, and William O. J. Moser, 27:4, 1996, 323, reviewed by Cecil Rousseau How to Teach Mathematics: A Personal Perspective, Sten G. Krantz, 27:4, 1996, 324, reviewed by John A. Dossey Crossroads in Mathematics: Standards for Introductory College Mathematics before Calculus, American Mathematical Association of Two-Year Colleges, 27:5, 1996, 416-417, reviewed by Donald W. Bushaw Learn from the Masters, Frank Swetz; et al; editors, 28:3, 1997, 245-246, reviewed by William Dunham Mathematics and Politics, Alan D. Taylor, 28:4, 1997, 328-329, reviewed by Philip D. Straffin Indiscrete Thoughts, Gian-Carlo Rota, 29:1, 1998, 80, reviewed by Reuben Hersh The Emergence of the American Mathematical Research Community; 1876-1900: J. J. Sylvester; Felix Klein and E. H. Moore, Karen Hunger Pashall and David E. Rowe, 29:3, 1998, 254-256, reviewed by Daniel E. Otero Geometry Turned On, James King and Doris Schattschneider: Editors, 29:4, 1998, 343-344, reviewed by Jean Pedersen The Queen of Mathematics, Jay R. Goldman, 29:5, 1998, 448, reviewed by Bruce Berndt PAGE 84 PAGE 85 | |
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