Mathematical Adventures for Students and Amateurs

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David F. Hayes, Tatiana Shubin, Gerald L. Alexanderson, Peter Ross
MAA, 2004 - Mathematics - 291 pages
1 Review
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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Contents

Prime Numbers and the Search for Extraterrestrial Intelligence
3
Triangles Squares Oranges and Cuboids Peter Stevenhagen
51
When Is an Integer the Product of Two and of Three Consecutive Integers?
65
Right Triangles and Elliptic Curves Karl Rubin
73
The Magic of Fibonacci Numbers and More
83
The Rule of False Position Don Chakerian
157
Geometric Puzzles and ConstructionsSix Classical Geometry Theorems
169
Cusps Dmitry Fuchs
185
Triangles and Curvature Richard Scott
201
Archimedes and his Floating Paraboloids Sherman Stein
219
Mathematical Mapping from Mercator to the Millennium
233
an informal dramatic presentation in 8 fits
259
Biographical Notes
281
Index
287
Copyright

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About the author (2004)

David Hayes is Chair of the Department of Computer Science at San Jose State University.

Tatiana Shubin is Associate Professor of Mathematics at San Jose State University.

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