Mathematical adventures for students and amateurs
著者
書誌事項
Mathematical adventures for students and amateurs
（MAA spectrum）
Mathematical Association of America, c2004
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注記
Includes bibliographical references and index
収録内容
- Prime numbers and the search for extraterrestrial intelligence / Carl Pomerance
- Space shuttle geometry / Helen Moore
- Mathematicians versus the silicon age: who wins? / Sheldon Axler
- Breaking driver's license codes / Joseph A. Gallian
- Jumping frogs and powers of two / Paul Zeitz
- Triangles, squares, oranges and cuboids / Peter Stevenhagen
- When is an integer the product of two and of three consecutive integers? / Edward F. Schaefer
- Right triangles and elliptic curves / Karl Rubin
- Proofs that really count: the magic of Fibonacci numbers and more / Arthur T. Benjamin & Jennifer J. Quinn
- Juggling patterns, passing, and posets / Joe Buhler & Ron Graham
- Platonic divisions of space / Jean Pederson
- Probability by surprise / Susan Holmes
- The rule of false position / Don Chakerian
- Geometric puzzles and constructions: six classical geometric theorems / Zvezdelina Stankova
- Cusps / Dmitry Fuchs
- Tringles and curvature / Richard Scott
- Archimedes and his floating paraboloids / Sherman Stein
- Mathematical mapping from Mercator to the Millennium / Robert Osserman
- Alice in Numberland: an informal dramatic presentation in 8 fits / Robin Wilson
内容説明・目次
内容説明
This is a partial record of the Bay Area Math Adventures (BAMA), a lecture series for high school students (and incidentally their teachers, parents, and other interested adults) hosted by San Jose State and Santa Clara Universities in the San Francisco Bay Area. These lectures are aimed primarily at talented high school students and as a result, the mathematics in some cases is far from what one would expect to see in talks at this level. There are serious mathematical issues addressed here. The authors are distinguished mathematicians; some are bright newcomers while others have been well known in mathematical circles for decades. We hope that this book will capture some of the magic of these talks that have filled auditoriums at the host schools almost monthly for several years. Join the students in sharing these mathematical adventures.
目次
- Preface
- Introduction
- I. General
- II. Number theory
- III. Combinatorics and probability
- IV. Geometry and topology
- V. Applications and history
- Biographical notes
- Index.
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