81. Eratosthenes Erastosthenes (276 196 B.C.) eratosthenes invented a method for efficiently constructing tables of prime numbers. This method, the "Sieve of eratosthenes", It goes like this. http://www.math.utah.edu/history/eratosthenes.html

Erastosthenes (276 - 196 B.C.) Eratosthenes invented a method for efficiently constructing tables of prime numbers. This method, the "Sieve of Eratosthenes", It goes like this. First, write down a list of integers beginning with 2 and ending with some number, say, 20: Then mark all multiples of 2: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 x x x x x x x x x Move to the next unmarked number, which in this case is 3, then mark all its multiples: 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 x x x x x x x x x x x Continue in this fashion, marking all multiples of the next unmarked number until there are no new unmarked numbers. The final result is in fact the last table given, so the primes not exceeding 20 are

82. TheSolutionSite.com , Students will learnabout square roots by knowing about eratosthenes Sieve and prime factorization.......Metadata. Square Roots Visited by eratosthenes. http://www.thesolutionsite.com/lpnew_bin/UI_Metadata/public/1666

Metadata Square Roots Visited by Eratosthenes Status Ready for Users Stage Public Subject English/Language Arts Mathematics Vocational/Technical Author Nelson Elliott Jude Miller Margaret Wilson Description Students will learn about square roots by knowing about Eratosthenes Sieve and prime factorization. They will also learn about the Hellenistic period in which Eratosthenes and his contemporaries lived with a focus on his many careers. Technology Tools The internet Word processing program Grade Level National Standards Mathematics 1.Uses a variety of strategies in the problem-solving process 2.Understands and applies basic and advanced properties of the concepts of numbers 8.Understands and applies basic and advanced properties of functions and algebra 9.Understands the general nature and uses of mathematics Career Clusters Engineering and Technical Keywords square roots Eratosthenes Sieve prime factorization Hellenistic period Fundamental Theorem Lesson Plan URLs (new Window) Lesson 1: Eratosthenes Sieve Lesson 2: The Fundamental Theorem of Arithmetic Lesson 3: Square Roots ... Back to Main Page

83. Eratosthenes eratosthenes (276 195 BC). eratosthenes used geometry to estimatethe circumference of the Earth. eratosthenes measured the altitude http://astrosun.tn.cornell.edu/courses/astro201/eratosthenes.htm

Eratosthenes (276 - 195 B.C.) Eratosthenes used geometry to estimate the circumference of the Earth. Eratosthenes measured the altitude of the noontime sun at Alexandria at its maximum on Jun 21st. On that date, the Sun is directly overhead at noontime at Syene, in southern Egypt (latitude = 23.5 degrees north). The zenith distance is the angle from the zenith to the point where the Sun was at noon; it is also 90 degrees minus the altitude. At Syene, the zenith distance was degrees; at Alexandria it was about 7 degrees. He knew how far it was from Alexandria to Syene, so he used geometry and the difference in zenith angle to estimate the size of the Earth. Eratosthenes also measured the tilt of the Earth axis by 23.5 degrees, which gives us the seasons

84. Nardia Symonds : Greek Mathematics In mathematical circles eratosthenes is famous for the method of findingprime numbers, known as the ‘Sieve of eratosthenes’. http://www.maths.adelaide.edu.au/pure/pscott/history/nardia/symonds6.htm

Thales Pythagoras Zeno Euclid Eratosthenes Archimedes Eratosthenes of Cyrene BC Erathosthenes is known as an astronomer and a mathematician. The two things he is famous for are calculating the circumference of the Earth and the development of a method for calculating all prime numbers. His calculation for the circumference of the Earth was around 46,000km, which is remarkably close to the current measured value. Next page Greek Mathematics home page

85. History Of Mathematics Links: Sites Relating To Individual Mathematicians Donald Lancon, Jr.); Oliver Byrne's edition of Euclid; Eratosthenesof cyrene (Peter Alfeld, University of Utah); Archimedes Home Page http://www.maths.tcd.ie/pub/HistMath/Links/People.html

History of Mathematics Links: Sites relating to Individual Mathematicians The following sites or sections of sites relate to the life and work of individual mathematicians. Other sites which provide biographical information on substantial numbers of mathematicians are listed under Biographies of Mathematicians , and under Biographies of Scientists The listing below is in approximately chronological order. Euclid's Elements (David E. Joyce, Clark University) The Visual Elements of Euclid (Ralph Abraham) ... The Work of Robert Langlands Back to: History of Mathematics Links The History of Mathematics Maintained by David R. Wilkins dwilkins@maths.tcd.ie School of Mathematics Trinity College, Dublin

86. 302main03.html http://www.ma.utexas.edu/users/mks/302/302main03.html

M 302: Introduction to Mathematics (Spring 2003, Smith) First Day Handout Assignments First Exam Information First exam scores ... Second Exam Information Links Sierpinski's Carpet Simulation Fibonacci Numbers in Nature Eratosthenes of Cyrene Sieve of Eratosthenes ... Millions of Digits of Irrational Numbers

87. The Famous Mathematician Internet Project The Famous Mathematician Internet Project. Mathematics is a living,breathing, vibrant discipline connected to many walks of life. . http://198.190.226.3/users/ham/famousmath.html

The Famous Mathematician Internet Project "Mathematics is a living, breathing, vibrant discipline connected to many walks of life." An important aspect of understanding mathematics is learning about its originators, discoverers, and explorers. The vast real-life applications of mathematics today would not be possible if it had not been for the dedication and commitment of a dynasty of mathematicians. Use the World Wide Web to find information about YOUR chosen famous mathematician. Continue answering the questions on "The Famous Mathematician Internet Project" Handout. Your responses will be graded as a point assignment. Begin the construction of your famous mathematician resume. Rene Descartes Rene Descartes Additional Information Descartes' Method and Coordinate Geometry Diophantus of Alexandria ... Eratosthenes of Cyrene (276-197 B.C.) Eratosthenes Maurits Cornelius Escher (M.C. Escher) M.C. Escher Euclid of Alexandria (365-300 B.C.) Euclid: His Works and His Influences The Life of Euclid Leonardo Pisano Fibonacci History of Fibonacci and the Golden Ratio ... Pythagoras of Samos (580-500 B.C.) The Pythagorean Theorem The History of Pythagoras Pythagoras' Historical Profile John Venn ... Apollonius of Perga (262-190 B.C.)

88. Project SUCCEED-HI: For Students! Stimulating Understanding of Computational science through Collaboration, Exploration,Experiment, and Discovery for students with Hearing Impairments. http://www.shodor.org/succeedhi/succeedhi/sieve/teacher/Resources.html

S timulating U nderstanding of C omputational science through C ollaboration, E xploration, E xperiment, and D iscovery for students with H earing I mpairments a collaboration of the Shodor Education Foundation, Inc. , Eastern North Carolina School for the Deaf, Barton College , the National Technical Institute for the Deaf , and Interpreters, Inc. Home Project Proposal For Students! ... Resources For Teachers! The Sieve of Eratosthenese This page has additional background material and links to resources that may help you prepare for and extend the lesson. External Links and Resources Eratosthenes of Cyrene http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Eratosthenes.html http://www.eranet.gr/eratosthenes/html/eoc.html Sieve of Eratosthenes http://www.math.utah.edu/~alfeld/Eratosthenes.html http://www.math.umd.edu/~krc/numbers/sieve.html http://www.utm.edu/research/primes/glossary/SieveOfEratosthenes.html Prime Numbers http://www.utm.edu/research/primes/largest.html

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