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A Decade of the Berkeley Math Circle: The American Experience, Volume II
A co-publication of the AMS and Mathematical Sciences Research Institute
| SoftcoverISBN: | 978-0-8218-4912-5 |
| Product Code: | MCL/14 |
| List Price: | $25.00 |
| Individual Price: | $18.75 |
| Sale Price: | $15.00 |
| eBookISBN: | 978-1-4704-1959-2 |
| Product Code: | MCL/14.E |
| List Price: | $25.00 |
| Individual Price: | $18.75 |
| Sale Price: | $15.00 |
| SoftcoverISBN: | 978-0-8218-4912-5 |
| eBookISBN: | 978-1-4704-1959-2 |
| Product Code: | MCL/14.B |
| List Price: | $50.00$37.50 |
| Sale Price: | $30.00$22.50 |
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A Decade of the Berkeley Math Circle: The American Experience, Volume II
A co-publication of the AMS and Mathematical Sciences Research Institute
| Softcover ISBN: | 978-0-8218-4912-5 |
| Product Code: | MCL/14 |
| List Price: | $25.00 |
| Individual Price: | $18.75 |
| Sale Price: | $15.00 |
| eBook ISBN: | 978-1-4704-1959-2 |
| Product Code: | MCL/14.E |
| List Price: | $25.00 |
| Individual Price: | $18.75 |
| Sale Price: | $15.00 |
| Softcover ISBN: | 978-0-8218-4912-5 |
| eBookISBN: | 978-1-4704-1959-2 |
| Product Code: | MCL/14.B |
| List Price: | $50.00$37.50 |
| Sale Price: | $30.00$22.50 |
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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 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, Möbius, 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.ReadershipHigh school students and their parents and teachers and undergraduate students interested in math circles.
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Table of Contents
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Chapters
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Geometric re-constructions. Part I Along optimal paths and integer grids
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Rubik’s Cube. Part II by Tom Davis
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Knotty Mathematics by Maia Averett
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$\mathcal {M}$ultiplicative functions. Part I The infinite-raffle challenge
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Introduction to group theory
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Monovariants. Part II Jumping fleas and Conway’s checkers
-
Geometric re-constructions. Part II Bits of geometry, physics & trigonometry
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Complex numbers. Part II
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Introduction to inequalities. Part I Arithmetic, geometric, and power means
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$\mathcal {M}$ultiplicative functions. Part II Dirichlet product and Möbius inversion
-
Monovariants. Part III Smoothing inequalities
-
Geometric re-constructions. Part III Optimal bridges and infinitely many squares
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Epilogue
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Additional Material
-
RequestsReview Copy – for reviewers who would like to review an AMS bookAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 14; 2014; 376 pp
MSC: 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 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, Möbius, 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.
Readership
High school students and their parents and teachers and undergraduate students interested in math circles.
-
Chapters
-
Geometric re-constructions. 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 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
-
$\mathcal {M}$ultiplicative 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
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.