61. Stephen Wolfram: A New Kind Of Science -- Index T-z Waring's Problem, 910 Weaire, Denis L. (Ireland, 1942 ) and minimum area packings,988 in Preface, xiii weierstrass, karl TW (Germany, 1815-1897) and nested http://www.wolframscience.com/nks/index/names/t-z.html?SearchIndex=t-z

62. Stephen Wolfram: A New Kind Of Science -- Index W list of questions on, 856 and programs in the notes, 854 for this book, iv, 849 Weibulldistribution, 977 weierstrass, karl TW (Germany, 18151897) and nested http://www.wolframscience.com/nks/index/w.html

A B C D ... V W X Y Z W W particle Waddington, Conrad H. (England/Scotland, 1905-1975) and patterns on shells, 1012 Wagner's theorem Wainwright, Thomas E. (USA, 1927- ) and molecular dynamics, 879, 999 Wajsberg, Mordechaj (Poland, 1902 - ~1940) and axioms for logic, 1151 Wakes in fluid flow Waldmeister (automated theorem prover) lengths of proofs from, 1175 Walker, Crayton C. (USA, 1932- ) and Boolean networks, 936 Walking fluid flow when, 996 as repetitive process, 1011 Walks, random see Random walks Wallpaper and 2D cellular automata, 929 Walras, M. E. Léon (France, 1834-1910) and math economics, 1015 Walsh, Joseph L. (USA, 1895-1973) and Walsh transforms, 1073 Walsh transforms fast, 1073 Wang, Hao (China/USA, 1921-1995) and lag systems, 894 and tag systems, 1120 and undecidability in tiling, 1139 "Want of a nail..." and chaos theory, 971 Waring, Edward (England, 1736-1798) and Waring's Problem, 910 Waring's Problem as unsolved problem, 1166 Warp drive determining possibility of, 1027

63. Karl Theodor Wilhelm Weierstrass (1815-1897) karl weierstrass at MacTutor. karl weierstrass at Encyclopaedia Britannica.karl weierstrass at the Mathematics Genealogy Project. http://www.math.technion.ac.il/hat/wei.html

Karl Theodor Wilhelm Weierstrass (1815-1897) Karl Weierstrass at MacTutor. Karl Weierstrass at Encyclopaedia Britannica. Karl Weierstrass at the Mathematics Genealogy Project. Sitzungsberichte der Akademie zu Berlin and , 1885. Weierstrass' paper with his proof of the Weierstrass Theorem on density on algebraic polynomials in the space of continuous real-valued functions on any finite closed interval. Also the analogous result for trigonometric polynomials. An expanded version of this paper with ten additional pages appeared in Weierstrass' "Mathematische Werke", Vol. 3, 1-37, Mayer and Muller, Berlin, 1903. J. Math. Pure et Appl. and . This is the translation of the Weierstrass 1885 paper and, as the original, it appeared in two parts and in subsequent issues, but under the same title. This journal was, at the time, called Journal de Mathematique or Journal de Liouville. Pinkus, A., Weierstrass and Approximation Theory, J. Approx. Theory (2000), 1-66. For those with access, this article may be viewed at IDEAL.

64. History Of Approximation Theory Turán, Paul photo de la Vallée Poussin, Baron Charles Jean Gustave Nicolas photoWalsh, Joseph Leonard photo weierstrass, karl Theodor Wilhelm photo Zolotarev http://www.math.technion.ac.il/hat/people.html

History of Approximation Theory (HAT) Approximation People Links to homepages of many of these people at MacTutor History of Mathematics may also be found here. Akhiezer, Naum Il'ich Bernstein, Sergei Natanovich Chebyshev, Pafnuty Lvovich Christoffel, Elwin Bruno ... Zygmund, Antoni

65. életrajzok: W weierstrass, karl (1815. október 31.—1897. február 19.) német matematikus.Nevéhez fuzodik az analízis szabatos felépítése. http://www.iif.hu/~visontay/ponticulus/eletrajzok/w.html

rovatok j¡t©k arch­vum jegyzetek mutat³k kitekintő v©lem©nyek inform¡ci³k ©letrajzok magyar¡zatok forr¡sok WALD brah¡m (Kolozsv¡r, 1902—India, 1950): magyar sz¡rmaz¡sº amerikai matematikus. A modern matematikai statisztika egyik megalapoz³ja, a j¡t©kelm©let tov¡bbfejlesztője. K¶z©piskol¡it sz¼lőv¡ros¡ban v©gezte. Ezut¡n r¶vid ideig mag¡nºton tanulta a matematik¡t, majd a b©csi egyetemre iratkozott be. K¶zben katonai szolg¡latra h­vt¡k be a rom¡n hadseregbe, ­gy csak 1931-ben v©gzett. Ugyanekkor doktor¡lt ©s megjelentek első publik¡ci³i is. MORGENSTERN ( NEUMANN JNOS k©sőbbi szerzőt¡rsa) b©csi int©zet©ben kezdett dolgozni. 1938-ban a new-yorki Columia egyetem h­vta meg. Ott tan­tott tragikus hal¡l¡ig (rep¼lőg©p-szerencs©tlens©g ¡ldozata lett). WALLIS, John (1616. december 3.—1703. november 8.): angol matematikus ©s fizikus. A Royal Society egyik alap­t³ja. BARROW -val egy¼tt az anal­zis elők©sz­tője. 1649-től hal¡l¡ig az oxfordi egyetem tan¡ra volt.

66. Index For The Letter W Weibel, Trudy; Weide, Bruce; weierstrass, karl; Weihl, William E. Weijland http://sigact.acm.org/genealogy/index-W.html

This is the index into entries in the TCS Genealogy for names beginning with the letter W. Waarts, Orli Wachsmann, Alf Wadge, William W. Wagner, Bob ... Wyshoff, Harry

67. Mathematicians @ SchoolAtlas and More. weierstrass, karl (18151897) from Eric Weisstein's TreasureTrove of Scienti -weierstrass, karl (1815-1897); Jordan http://www.schoolatlas.com/search2/Math/Mathematicians/index1.html

home world news books sitemap ... office Reference Nation Maps Nation Reports Nation Flags World Maps ... Writing Center ii Academic Subjects Reference Geography History Government ... Math College Search Here: Academic Websites Yahoo! Google Ask Jeeves About.com Alta Vista Lycos Excite HotBot Infoseek Northern Light DejaNews Lawcrawler Metacrawler Look Smart Math Mathematicians John Knopfmacher -Centre for Applicable Analysis and Number Theory Whitehead, Alfred North -Whitehead, Alfred North Luke's Marin Mersenne Page -A collection of pages about, and links to, Marin Mersenne(1588-1648), French philosopher, mathematician, Minim theologian, and scientist. AAS-Biographical memoirs-Mahler -Kurt Mahler 1903-1988 Olympiad Math Madness Willard Van Orman Quine home page by Douglas Boynton Quine -Home page for Willard Van Orman Quine, mathematician and philosopher including list of books, articles, essays, students, and travels. Includes links to other Willard Van Orman Quine Internet resources as well as to other Family Web Sites by Douglas Boynton Quine. EDMUND LANDAU Clifford A. Pickover's Home Page

68. Biography-center - Letter W Weichardt, Julius Wolfgang www.whonamedit.com/doctor.cfm/1712.html; weierstrass,karl wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/weierstrass.html; http://www.biography-center.com/w.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish W 457 biographies Waals, Johannes Diderik van der www.nobel.se/physics/laureates/1910/waals-bio.html Waardenburg, Petrus Johannes www.whonamedit.com/doctor.cfm/1012.html Waerden, Bartel van der www-history.mcs.st-and.ac.uk/~history/Mathematicians/Van_der_Waerden.html Wagner, Richard www.island-of-freedom.com/WAGNER.HTM library.thinkquest.org/20117/doebler.html Wagner-Joregg, Julius www.nobel.se/medicine/laureates/1927/wagner-jauregg-bio.html Wahlöö, Per www.kirjasto.sci.fi/wahloo.htm Wakata, Koichi www.jsc.nasa.gov/Bios/htmlbios/wakata.html Wake, Nancy www.abc.net.au/btn/australians/wake.htm Wakefield, Ruth web.mit.edu/invent/www/inventorsR-Z/wakefield.html Waksman, Selman Abraham www.nobel.se/medicine/laureates/1952/waksman-bio.html Walcott, Derek

69. Karl Otto Stöhr karl Otto Stöhr. LIST OF PUBLICATIONS. Trigonal Gorenstein curves. J. PureAppl. Gorenstein curves with quasisymmetric weierstrass semigroups. http://www.impa.br/~stohr

LIST OF PUBLICATIONS Trigonal Gorenstein curves. J. Pure Appl. Algebra In collaboration with R. Rosa Hyperelliptic Gorenstein curves. J. Pure Appl. Algebra Local and global zeta-functions of singular algebraic curves. Journal of Number Theory Moduli spaces of curves with quasi-symmetric gap sequences. Geometriae Dedicata In collaboration with G. Oliveira Gorenstein curves with quasi-symmetric Weierstrass semigroups. Geometriae Dedicata In collaboration with G. Oliveira Non-classical Gorenstein curves of arithmetic genus three and four. Math. Zeitschrift In collaboration with E.S. Freitas Higher order differentials and Weierstrass points on Gorenstein curves. Manuscripta Math. In collaboration with C.F. de Carvalho On the moduli spaces of Gorenstein curves with symmetric Weierstrass semigroups. J. Reine Angew. Math. (Crelle's Journal) On the poles of regular differentials of singular curves. Bol. Soc. Bras. Mat. Weierstrass gap sequences and moduli varieties of trigonal curves. J. Pure Appl. Algebra In collaboration with P. Viana

70. Entertainment Family Zone Reference weierstrass, karl Wilhelm Theodor (Encyclopedia) weierstrass, karl WilhelmTheodor , 1815 – 97 , German mathematician. From 1864 more . http://rhyme.lycos.com/r/rd.cgi?c=enc&url=rigorous

71. Wiestrass And Kovalevski karl weierstrass is known as the father of modern analysis. Later in 1871, Sofiatransferred to the University of Berlin to study under karl weierstrass. http://www.andrews.edu/~calkins/math/biograph/bioweier.htm

Biographies of Mathematicians - Wiestrass and Kovalevski Table of Contents Introduction Biography of Wiestrass Biography of Kovalevski Accomplishments ... Resources Introduction Sofia Kovalevskaya was born in the 1800's to a noble Russian family. During this time women were discouraged in the field of mathematics. Karl Weierstrass is known as the father of modern analysis. He didn't start out in the field of mathematics though, and spent about four years of college drunk. Later on he discovered his love for mathematics, and became a great mathematics professor. He made many discoveries in the area of complex numbers, elliptic functions, abelian functions, and calculus of variations. Many great mathematicians came to study under him, including Sofia Kovalevski. Biography of Wiestrass Biography of Kovalevski Sofia Kovalevskaya was born on January 15, 1850 in Moscow Russia to a family of nobility. She died from pnemonia on February 10, 1891 in Stockholm Sweden. Sofia got most of her schooling from tutors, and governesses, since her family was fairly well off. She had her first encounter with calculus in her nursery when she was 11. During the time there was a wallpaper shortage, so her walls had been plastered with pages of Ostrogradski's lecture notes on differential and integral analysis. She became v ery interested in math, and studied her wallpaper with increasing intrigue. Sofia had such a strong love for mathematics, that she began to neglect her other studies. This made her father angry so he decided to stop Sofia's math lessons. Sofia was very dedicated to mathematics, so she borrowed a copy of Boudreau's

72. NEWS ALERT Indian Space Research Organisation (ass061). karl weierstrass (per001). Latticecomputing (ans059). Strange beauty (br001). weierstrass, karl (per001). http://202.41.94.163/aug00/

NEWS ALERT August 2000 INDEX Anti-cancer activities Antiprotons Antiproton ring Anti-viral activities ... Cover Page

73. Biografías (Orden Alfabético) Translate this page WEBERN, ANTON VON, WEBSTER, DANIEL. WEGENER, ALFRED LOTHAR, WEI, DINASTÍA.weierstrass, karl, WEIL, SIMONE. WEISMANN, AUGUST, WEISS, PETER. http://www.canalsocial.net/biografia/listabiografiaOA.asp?letra=W

74. Encyclopædia Britannica weierstrass, karl (18151897) Short biography of this German mathematician alsoknown as the father of modern analysis. Describes his work on Abelian http://search.britannica.com/search?query=Karl Donitz

75. Weierstrass Translate this page weierstrass. Fecha de primera versión 15-11-97. Fecha de últimaactualización 13-09-98. karl weierstrass (1815-1897) Alemán. http://personal.redestb.es/javfuetub/Biografias/Weierstrass.htm

Weierstrass Karl Weierstrass (1815-1897): Retrato

76. Festschrift Zur Gedächtnisfeier Für Karl Weierstrass 1815-1965. (in Lcmarc) Translate this page Festschrift zur Gedächtnisfeier für karl weierstrass 1815-1965. Title Festschriftzur Gedächtnisfeier für karl weierstrass 1815-1965. Hrsg. http://lcmarc.dra.com/lcmarc/AJY-9104

Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815-1965. Title: Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815-1965. Hrsg. von Heinrich Behnke und Klaus Kopfermann. Author: Behnke, Heinrich, 1898- ed. Weierstrass, Karl, 1815-1897. Kopfermann, Klaus, joint ed. Published: Köln u. Opladen, Westdeutscher Verlag, 1966. Subject: Functions Addresses, essays, lectures. Weierstrass, Karl, 1815-1897. Series: Wissenschaftliche Abhandlungen der Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen, Bd. 33 Wissenschaftliche Abhandlungen der Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen ; Bd. 33. Material: 612 p. 25 cm. Note: Includes bibliographies. ISBN: System ID no: AJY-9104 If you have a valid library card, you may place a hold on this item for pickup at the library. Please send comments, suggestions, or bug reports to webmaster@www.dra.com

77. Untitled Document anomaly to be relegated to the margins of our understanding of continuous functions,weierstrass'\index{weierstrass@weierstrass, karl} example and those like http://community.middlebury.edu/~abbott/UA/UA5point5.html

Understanding Analysis Stephen Abbott, Middlebury College Springer-Verlag Press, New York, 2001 Epilogue to Chapter 5 Far from being an anomaly to be relegated to the margins of our understanding of continuous functions, those like it should actually serve as a guide to our intuition. The image of continuity as a smooth curve in our mind's eye severely misrepresents the situation and is the result of a bias stemming from an overexposure to the much smaller class of differentiable functions. The lesson here is that continuity is a strictly weaker notion than differentiability. In Section Weierstrass' construction is actually typical of continuous functions. We will see that most continuous functions are nowhere-differentiable, so that it is really the differentiable functions that are the exceptions rather than the rule. The details of how to phrase this observation more rigorously are To say that the nowhere-differentiable function $g$ constructed in the previous section has ``corners'' at every point of its domain slightly misses the mark. Weierstrass' original class of

78. Untitled Document On the other hand, it was not until around 1820 that Cauchy, Bolzano, weierstrass,\index{weierstrass@weierstrass,karl}\index{Bolzano, Bernhard}\index{Cauchy http://community.middlebury.edu/~abbott/UA/UA4point1.html

Understanding Analysis Stephen Abbott, Middlebury College Springer-Verlag Press, New York, 2001 Chapter 4: Functional Limits and Continuity Discussion: Examples of Dirichlet and Thomae Although it is common practice in calculus courses to discuss continuity before differentiation, historically mathematicians' attention to the concept of continuity came long after the problems as early as 1629. On the other hand, it was not until around 1820 that Cauchy, Bolzano, characterize continuity in terms more rigorous than prevailing intuitive notions such as ``unbroken curves'' or ``functions which have no jumps or gaps.'' The basic reason for this two-hundred year waiting period lies in the fact that, for most of this time, discontinuities. Functions were entities such as polynomials, sines, and cosines, always smooth and continuous over their relevant domains. The gradual liberation of the term function to its modern understanding-a rule associating a unique output to a given input-was simultaneous with 19th century investigations into the behavior of infinite series. Extensions of the power of

79. Untitled Document Translate this page karl Theodor Wilhelm weierstrass. 1815 - 1897. karl weierstrass est connupour sa construction de la théorie des fonctions complexes. http://www.sfrs.fr/e-doc/weierstr.htm

Karl Theodor Wilhelm Weierstrass

80. William Marshall Bullitt Collection Of Rare Mathematics And Astronomy Riemann equations. weierstrass, karl (1815 1897). Beitrag zur Theorieder Abel'schen Integrale. Braunsberg, Heyne, 1849. One of http://www.louisville.edu/library/ekstrom/special/bullitt/bullitt.html

University of Louisville Ekstrom Library Special Collections The William Marshall Bullitt Collection of Rare Mathematics and Astronomy Louisville attorney William Marshall Bullitt began to collect rare mathematics books in 1936. Building upon a family history of book collecting and his own passion for mathematics, Bullitt set out to gather first editions works by the twenty-five greatest mathematicians of all time, a goal established during a parlor game instigated by his friend G.H. Hardy. Within a decade Bullitt had amassed over 300 volumes by sixty mathematicians and astronomers. Except for a loan of choice volumes to Harvard for a 1953 exhibition, he kept the collection in his law office where he could refer to his favorites and use them as examples when he asked young attorneys aspiring to employment with his firm, "How much mathematics have you had?" Mr. Bullitt, shown here with his wife Nora in the library at Oxmoor, their home in Louisville, left all his books to her when he died in 1957. The following year, Mrs. Bullitt gave the rare mathematics and astronomy books to the University of Louisville. Mr. Bullitt's files of correspondence with mathematicians and rare book dealers joined the collection in 1980, thanks to the initiative of Uof L Mathematics professor Richard M. Davitt. Although William Marshall Bullitt enjoyed success as an expert in in 1951 for $500, an "outrageous price" in his estimation. Today the William Marshall Bullitt Collection of Rare Mathematics and Astronomy is priceless, not only for faculty and students at the University of Louisville, but for those to whom we offer the following list, a subset of a 370 volume collection.

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