SoftcoverISBN:  9780821849125 
Product Code:  MCL/14 
List Price:  $25.00 
Individual Price:  $18.75 
Sale Price:  $15.00 
eBookISBN:  9781470419592 
Product Code:  MCL/14.E 
List Price:  $25.00 
Individual Price:  $18.75 
Sale Price:  $15.00 
SoftcoverISBN:  9780821849125 
eBookISBN:  9781470419592 
Product Code:  MCL/14.B 
List Price:  $50.00$37.50 
Sale Price:  $30.00$22.50 
Softcover ISBN:  9780821849125 
Product Code:  MCL/14 
List Price:  $25.00 
Individual Price:  $18.75 
Sale Price:  $15.00 
eBook ISBN:  9781470419592 
Product Code:  MCL/14.E 
List Price:  $25.00 
Individual Price:  $18.75 
Sale Price:  $15.00 
Softcover ISBN:  9780821849125 
eBookISBN:  9781470419592 
Product Code:  MCL/14.B 
List Price:  $50.00$37.50 
Sale Price:  $30.00$22.50 

Book DetailsMSRI Mathematical Circles LibraryVolume: 14; 2014; 376 ppMSC: Primary 00;
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 knoteating 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, Möbius, and Euler;
 from leading an army of jumping fleas in an old problem from the International Mathematical Olympiads to improving our own essaywriting 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.ReadershipHigh school students and their parents and teachers and undergraduate students interested in math circles.

Table of Contents

Chapters

Geometric reconstructions. Part I Along optimal paths and integer grids

Rubik’s Cube. Part II by Tom Davis

Knotty Mathematics by Maia Averett

$\mathcal {M}$ultiplicative functions. Part I The infiniteraffle challenge

Introduction to group theory

Monovariants. Part II Jumping fleas and Conway’s checkers

Geometric reconstructions. Part II Bits of geometry, physics & trigonometry

Complex numbers. Part II

Introduction to inequalities. Part I Arithmetic, geometric, and power means

$\mathcal {M}$ultiplicative functions. Part II Dirichlet product and Möbius inversion

Monovariants. Part III Smoothing inequalities

Geometric reconstructions. Part III Optimal bridges and infinitely many squares

Epilogue


Additional Material

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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 knoteating 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, Möbius, and Euler;
 from leading an army of jumping fleas in an old problem from the International Mathematical Olympiads to improving our own essaywriting 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.
High school students and their parents and teachers and undergraduate students interested in math circles.

Chapters

Geometric reconstructions. Part I Along optimal paths and integer grids

Rubik’s Cube. Part II by Tom Davis

Knotty Mathematics by Maia Averett

$\mathcal {M}$ultiplicative functions. Part I The infiniteraffle challenge

Introduction to group theory

Monovariants. Part II Jumping fleas and Conway’s checkers

Geometric reconstructions. Part II Bits of geometry, physics & trigonometry

Complex numbers. Part II

Introduction to inequalities. Part I Arithmetic, geometric, and power means

$\mathcal {M}$ultiplicative functions. Part II Dirichlet product and Möbius inversion

Monovariants. Part III Smoothing inequalities

Geometric reconstructions. Part III Optimal bridges and infinitely many squares

Epilogue