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Mathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles LibraryMathematical Circles Library

This book series is co-published by the

Mathematical Sciences Research

Institute and the American

Mathematical Society, with

the generous support of

the Templeton Foundation.

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Mathematical circles are gatherings that givemathematicians the opportunity to share their deepunderstanding and appreciation for the subject withschool students who are looking for new challenges inmathematics. Using a variety of approaches such asproblem-solving, individual and group exploration of noncurriculartopics, reading guidance, competitions, and just plain fun, the circleshelp students acquire usefull mathematical ideas and techniques.

What is MCL? MSRI and the AMS have teamed up to providesupport for math circles through the Mathematical Circles Library,which includes books of several types: collections of solved problems,pedagogically sound expositions, discussions of experiences in math-ematics teaching, and practical books for organizers of mathematicalcircles.

Some of the books are translations from the Russian — there has longbeen a thriving tradition of math circles in Eastern Europe — whileothers were written in English by mathematicians who lead circles orare otherwise experienced in mathematics education.

Most books are suitable for both students and leaders in math circles.Parents of participants will also find the books useful.

Make a Proposal. We are always on the lookout for a goodproject! If you would like to suggest a book for publication in theMSRI–MCL series, in any language, whether authored by you orsomeone else, please write the series managing editor, Silvio Levylevy@msri.org, with a brief description of the work.

Projects are judged by an international Editorial Board with a variedmembership: authors, Math Circle organizers, leaders in the teaching ofmathematics to gifted students, and research mathematicians with aninvolvement in K–12 education.

The Mathematical Sciences Research Institute in Berkeley,California, is a world-renowned center for mathematics research

and outreach, dedicated to the advancement of knowledge inmathematics and the mathematical sciences, through research

semesters and workshops, summer graduate courses, public events,and support for K-12 and undergraduate educational initiatives.

17 Gauss Way, Berkeley CA 94720-5070www.msri.org (510) 642-0143

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Forthcoming:

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Moscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumesMoscow Mathematical Olympiads, 1993–2005in two volumes

Edited by

R. M. Fedorov, A. Y. Kanel-Belov, A. K. Kovaldzhi andI. V. Yashchenko

One of a new generation of problem books, offering not only prob-lems and solutions, but hints, extensions, and suggestions for workwith students. This book is aimed at leaders of mathematical cir-cles who are looking for new activities for their circles, at teacherswho seek enrichment experiences for their gifted students, and atstudents preparing for Olympiad-style contests. In addition to ad-dressing the needs of these audiences, the book will help to set anew standard for collections of contest problems.

Silvio Levy, translation editorover 200 illustrations456 pages

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Children and MathematicsA remarkable account of the experiences of one Russianmathematician with children of school and pre-school age

Alexander Zvonkin

Written as an account of one person’s experiences, this richly illus-trated volume relates this experience to deeper issues within math-ematics and to related literature in the field of cognitive psychology.The book is addressed to mathematicians who want to work withyoung children, to teachers and teachers-in-training who wouldlike to learn about the potential for mathematical thinking amongyoung children, to educational researchers and trainers of teachersseeking wider experiences from which to develop hypotheses forfurther research.

Paul Zeitz, translation editor240 pages, illustrated

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TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/TO ORDER: http://library.msri.org/msri-mcl/

Forthcoming:

Moscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsMoscow Math Circle Curriculumin Day-by-Day Sets of ProblemsSergei A. Dorichenko

This book is uniquely suitable for people who are just starting a mathcircle. The sets are well balanced and have been used and tested inreal circles. The material is coherent, representing a continuous de-velopment of topics in geometry, combinatorics, algebra and numbertheory, spread through two years of circle meetings.

Sergei Dorichenko teaches at the Moscow State University and atPublic School #52, a high school famous in Russia for the high qualityof its math education. He has been active in math circle initiativesfor 20 years, being one of the leaders of the Moscow State Universitymath circle.

130 pages, illustrated

Introduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesIntroduction toFunctional Equations and InequalitiesCostas Efthimiou

This is probably the first text on functional equations and inequalitiesthat is accessible to advanced high-school students and undergradu-ates. Subtitled “theory and problem-solving strategies for mathemat-ical competitions and beyond”, it carefully progresses from familiarexamples to advanced topics such as the Abel and Schroder equa-tions.

Efthimiou teaches at the University of Central Florida, where heheads the Physics Education Research Group, devoted to promotingscience literacy, quantitatitve fluency, and information fluency.

300 pages, illustrated

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Already in Print:

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1A Decade of the Berkeley Math CircleThe American Experience, Volume 1

Edited by

Zvezdelina Stankova and Tom Rike

This book uses a dozen sessions presented at the pioneering BerkeleyMath Circle to illustrate the variety of topics these extracurricularprograms cover in inspiring young people to a lifelong love of math-ematics. The book offers a thorough introduction to the structureand content of mathematical circles. It is designed to motivate ad-vanced students, their parents, and teachers of mathematics who areinterested in establishing these programs.

MSRI Mathematical Circles Library, vol. 1, 2008326 pages. ISBN 978-0-8218-4683-4List $49.00; AMS member $39.20

Circle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxCircle in a BoxSam Vandervelde

[A]n excellent resource for those interested in math circles, including stu-dents and parents (they can just skip the organizational part and go directlyto the presentations and problems). For those interested in starting and run-ning a math circle, I think it is an invaluable resource. — MAA Reviews

This book offers mathematicians and high school teachers all of theassistance necessary to establish math circles that successfully reachout to promising students. It includes operational advice based onconversations with circle directors and it outlines independent mathcircle sessions on a variety of topics. The author launched the Stan-ford Math Circle and also coordinates the Mandelbrot Competitionfor high schools.

MSRI Mathematical Circles Library, vol. 2, 2009217 pages. ISBN 978-0-8218-4752-7List $39.00; AMS member $31.20

design c© 2010 Alex Scorpan