A Decade of the Berkeley Math Circle

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846833
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Decade of the Berkeley Math Circle by : Zvezdelina Stankova

Download or read book A Decade of the Berkeley Math Circle written by Zvezdelina Stankova and published by American Mathematical Soc.. This book was released on 2008-11-26 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. 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.

Widths of Subgroups

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Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Widths of Subgroups by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Widths of Subgroups written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1995 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Roots for a Family of Transformations

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Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Roots for a Family of Transformations by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Roots for a Family of Transformations written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1991 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Instantons and Four-Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 1461397030
Total Pages : 212 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Instantons and Four-Manifolds by : Daniel S. Freed

Download or read book Instantons and Four-Manifolds written by Daniel S. Freed and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews of the first edition: "This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological study of the differentiable structure of compact four-dimensional manifolds, compact spaces locally modeled on the world in which we live and operate... The book is filled with insightful remarks, proofs, and contributions that have never before appeared in print. For anyone attempting to understand the work of Donaldson and the applications of gauge theories to four-dimensional topology, the book is a must." #Science#1 "I would strongly advise the graduate student or working mathematician who wishes to learn the analytic aspects of this subject to begin with Freed and Uhlenbeck's book." #Bulletin of the American Mathematical Society#2

The Structure and Enumeration of Link Projections

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis The Structure and Enumeration of Link Projections by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book The Structure and Enumeration of Link Projections written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1994 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Math Circle by the Bay: Topics for Grades 1–5

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Publisher : American Mathematical Soc.
ISBN 13 : 1470447851
Total Pages : 171 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Math Circle by the Bay: Topics for Grades 1–5 by : Laura Givental

Download or read book Math Circle by the Bay: Topics for Grades 1–5 written by Laura Givental and published by American Mathematical Soc.. This book was released on 2018-12-14 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on selected topics that the authors taught in math circles for elementary school students at the University of California, Berkeley; Stanford University; Dominican University (Marin County, CA); and the University of Oregon (Eugene). It is intended for people who are already running a math circle or who are thinking about organizing one. It can be used by parents to help their motivated, math-loving kids or by elementary school teachers. We also hope that bright fourth or fifth graders will be able to read this book on their own. The main features of this book are the logical sequence of the problems, the description of class reactions, and the hints given to kids when they get stuck. This book tries to keep the balance between two goals: inspire readers to invent their own original approaches while being detailed enough to work as a fallback in case the teacher needs to prepare a lesson on short notice. It introduces kids to combinatorics, Fibonacci numbers, Pascal's triangle, and the notion of area, among other things. The authors chose topics with deep mathematical context. These topics are just as engaging and entertaining to children as typical “recreational math” problems, but they can be developed deeper and to more advanced levels. 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.

Circle in a Box

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Publisher : American Mathematical Soc.
ISBN 13 : 082184752X
Total Pages : 230 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Circle in a Box by : Sam Vandervelde

Download or read book Circle in a Box written by Sam Vandervelde and published by American Mathematical Soc.. This book was released on 2009 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math circles provide a setting in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United States as well. The first part of this book offers helpful advice on all aspects of math circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions. This book will be an indispensable resource for any individual involved with a math circle or anyone who would like to see one begin in his or her community. Sam Vandervelde teaches at St. Lawrence University. He launched the Stanford Math Circle and also writes and coordinates the Mandelbrot Competition, a math contest for high schools. 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. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Heights of Subgroups

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Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Heights of Subgroups by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Heights of Subgroups written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1995 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Spectral Problem for Anyons

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis On the Spectral Problem for Anyons by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book On the Spectral Problem for Anyons written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1991 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quasiconformal Actions on Domains in Space

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Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (218 download)

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Book Synopsis Quasiconformal Actions on Domains in Space by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Quasiconformal Actions on Domains in Space written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1986 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Moduli Spaces of Singular Yamabe Metrics

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Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Moduli Spaces of Singular Yamabe Metrics by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Moduli Spaces of Singular Yamabe Metrics written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1993 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Eta -Invariants and Determinant Lines

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Publisher :
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Eta -Invariants and Determinant Lines by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Eta -Invariants and Determinant Lines written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1994 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Set Theory of the Continuum

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Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Set Theory of the Continuum by : Haim Judah

Download or read book Set Theory of the Continuum written by Haim Judah and published by . This book was released on 1992 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Bernstein Type Inequality for U-statistics

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Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis A Bernstein Type Inequality for U-statistics by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book A Bernstein Type Inequality for U-statistics written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1992 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complexity of Fixed Points: I.

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Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (218 download)

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Book Synopsis Complexity of Fixed Points: I. by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Complexity of Fixed Points: I. written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1987 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Volume Growth and Finite Topological Type

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (246 download)

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Book Synopsis Volume Growth and Finite Topological Type by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Volume Growth and Finite Topological Type written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1990 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete Quasiconformal Groups I.

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Publisher :
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (218 download)

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Book Synopsis Discrete Quasiconformal Groups I. by : Mathematical Sciences Research Institute (Berkeley, Calif.).

Download or read book Discrete Quasiconformal Groups I. written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1986 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: