Description

Book Synopsis
The Berkeley Math Circle (BMC) started in 1998 as one of the very first maths circles in the US. Over the last decade and a half, 100 instructors have shared their passion for mathematics by delivering over 800 BMC sessions. This second volume is based on a dozen of these sessions, encompassing a variety of enticing and stimulating mathematical topics.

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

A Decade of the Berkeley Math Circle The

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    A Paperback by Zvezdelina Stankova, Tom Rike

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      Book details

      Publisher American Mathematical Society
      Published 2/28/2015 12:00:00 AM
      ISBN-13 9780821849125
      978-0821849125
      ISBN-10 0821849123
      Also in:
      Teaching of a specific subject

      Description

      Book Synopsis
      The Berkeley Math Circle (BMC) started in 1998 as one of the very first maths circles in the US. Over the last decade and a half, 100 instructors have shared their passion for mathematics by delivering over 800 BMC sessions. This second volume is based on a dozen of these sessions, encompassing a variety of enticing and stimulating mathematical topics.

      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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