Mathematical Adventures for Students and AmateursDavid F. Hayes, Tatiana Shubin, Gerald L. Alexanderson 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. |
Contents
Prime Numbers and the Search for Extraterrestrial Intelligence | 5 |
Who Wins? Sheldon Axler | 17 |
Breaking Drivers License Codes Joseph A Gallian | 27 |
Jumping Frogs and Powers of Two Paul Zeitz | 41 |
Triangles Squares Oranges and Cuboids Peter Stevenhagen | 51 |
When Is an Integer the Product of Two and of Three Consecutive Integers? | 65 |
51 | 80 |
The Rule of False Position Don Chakerian | 157 |
Other editions - View all
Mathematical Adventures for Students and Amateurs David F. Hayes,Tatiana Shubin Limited preview - 2020 |
Mathematical Adventures for Students and Amateurs David F. Hayes,Tatiana Shubin,Gerald L. Alexanderson No preview available - 2004 |
Common terms and phrases
algebra Alice angle Archimedes balls braided model breakable Brianchon's Theorem called cells circle combinatorial conformal map congruent number corresponding counting the number cube cusps cylindrical projection defined density Desargues disk dodecahedron Dodgson domino edges elliptic curves equation example faces Fibonacci Fibonacci numbers Figure finite formula fundamental group geodesic space geometry given harmonic numbers hexagon icosahedron identity infinity initial digits intersect juggling sequence length license numbers look Math mathematicians mathematics meromorphic function Mersenne prime metric space n-tiling nonpositive curvature nonpositively curved number theory octahedron odd numbers pairs parabola parallel Pascal's Theorem pattern perfect number permutation Picard's Theorem plane Platonic Solids polynomial prime number problem proof Proposition prove rational points right triangle scale sides simulation solution sphere square surface swap tangent tiling torus twin primes unbounded regions University values vertex vertical z-plane