Mathematical Adventures for Students and Amateurs
David F. Hayes, Tatiana Shubin, Gerald L. Alexanderson, Peter Ross
MAA, 2004 - Mathematics - 291 pages
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.
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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 disk dodecahedron Dodgson domino edges elliptic curves entire function equation example Exercise faces Fibonacci Fibonacci numbers Figure finite formula fundamental group geodesic space geometry given harmonic numbers hexagon horizontal icosahedron identity infinity initial digits intersect juggling sequence length license numbers Liddell 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 perfect number permutation Picard's Theorem plane Platonic Solids polynomial prime number problem proof Proposition prove rational points right triangle scale sides solution sphere square surface swap tangent tetrahedron tiling torus twin primes unbounded regions University values vertex vertical x-axis z-plane