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A Decade of the Berkeley Math Circle: The American Experience, Volume II(MSRI Mathematical Circles Library)

A Decade of the Berkeley Math Circle: The American Experience, Volume II(MSRI Mathematical Circles Library)

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About the Book

Many mathematicians have been drawn to mathematics through their experience with math circles. The Berkeley Math Circle (BMC) started in 1998 as one of the very first math circles in the U.S. Over the last decade and a half, 100 instructors - university professors, business tycoons, high school teachers, and more - have shared their passion for mathematics by delivering over 800 BMC sessions on the UC Berkeley campus every week during the school year. This second volume of the book series is based on a dozen of these sessions, encompassing a variety of enticing and stimulating mathematical topics, some new and some continuing from Volume I: from dismantling Rubik's Cube and randomly putting it back together to solving it with the power of group theory from raising knot-eating machines and letting Alexander the Great cut the Gordian Knot to breaking through knot theory via the Jones polynomial from entering a seemingly hopeless infinite raffle to becoming friendly with multiplicative functions in the land of Dirichlet, Mobius, and Euler from leading an army of jumping fleas in an old problem from the International Mathematical Olympiads to improving our own essay-writing strategies from searching for optimal paths on a hot summer day to questioning whether Archimedes was on his way to discovering trigonometry 2000 years ago Do some of these scenarios sound bizarre, having never before been associated with mathematics? Mathematicians love having fun while doing serious mathematics and that love is what this book intends to share with the reader. Whether at a beginner, an intermediate, or an advanced level, anyone can find a place here to be provoked to think deeply and to be inspired to create. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Table of Contents:
Foreword by David Eisenbud Introduction by Zvezdelina Stankova Geometric re-constructions. Part I Along optimal paths and integer grids Rubik's cube. Part II by Tom Davis Knotty mathematics by Maia Averett Multiplicative functions. Part I The infinite-raffle challenge Introduction to group theory Monovariants. Part II Jumping fleas and Conway's checkers Geometric re-constructions. Part II Bits of geometry, physics & trigonometry Complex numbers. Part II Introduction to inequalities. Part I Arithmetic, geometric, and power means Multiplicative functions. Part II Dirichlet product and Möbius inversion Monovariants. Part III Smoothing inequalities Geometric re-constructions. Part III Optimal bridges and infinitely many squares Epilogue Symbols and notation Abbreviations Bibliography Index


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Product Details
  • ISBN-13: 9780821849125
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Depth: 25
  • Language: English
  • Returnable: N
  • Spine Width: 20 mm
  • Volume: 2
  • Width: 178 mm
  • ISBN-10: 0821849123
  • Publisher Date: 28 Feb 2015
  • Binding: Paperback
  • Height: 254 mm
  • No of Pages: 376
  • Series Title: MSRI Mathematical Circles Library
  • Sub Title: The American Experience, Volume II
  • Weight: 654 gr


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