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A Moscow Math Circle: Week-by-week Problem Sets

Sergey Dorichenko Moscow Schools 57 and 179, Moscow, Russia and Kvant Magazine, Moscow, Russia
A co-publication of the AMS and Mathematical Sciences Research Institute
Available Formats:
Softcover ISBN: 978-0-8218-6874-4
Product Code: MCL/8
240 pp
List Price: $25.00 Individual Price:$18.75
Electronic ISBN: 978-0-8218-8492-8
Product Code: MCL/8.E
240 pp
List Price: $25.00 Individual Price:$18.75
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List Price: $37.50 Click above image for expanded view A Moscow Math Circle: Week-by-week Problem Sets Sergey Dorichenko Moscow Schools 57 and 179, Moscow, Russia and Kvant Magazine, Moscow, Russia A co-publication of the AMS and Mathematical Sciences Research Institute Available Formats:  Softcover ISBN: 978-0-8218-6874-4 Product Code: MCL/8 240 pp  List Price:$25.00 Individual Price: $18.75  Electronic ISBN: 978-0-8218-8492-8 Product Code: MCL/8.E 240 pp  List Price:$25.00 Individual Price: $18.75 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$37.50
• Book Details

MSRI Mathematical Circles Library
Volume: 82012
MSC: Primary 00;

Moscow has a rich tradition of successful math circles, to the extent that many other circles are modeled on them. This book presents materials used during the course of one year in a math circle organized by mathematics faculty at Moscow State University, and also used at the mathematics magnet school known as Moscow School Number 57.

Each problem set has a similar structure: it combines review material with a new topic, offering problems in a range of difficulty levels. This time-tested pattern has proved its effectiveness in engaging all students and helping them master new material while building on earlier knowledge.

The introduction describes in detail how the math circles at Moscow State University are run. Dorichenko describes how the early sessions differ from later sessions, how to choose problems, and what sorts of difficulties may arise when running a circle. The book also includes a selection of problems used in the competition known as the Mathematical Maze, a mathematical story based on actual lessons with students, and an addendum on the San Jose Mathematical Circle, which is run in the Russian style.

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.

Undergraduate students interested in math circles, clever math problems, and high school education.

• Chapters
• Title page
• Contents
• Foreword
• Introduction
• Acknowledgments
• Problem set 0
• Problem set 1
• Problem set 2
• Problem set 3
• Problem set 4
• Problem set 5
• Problem set 6
• Problem set 7
• Problem set 8
• Problem set 9
• Problem set 10
• Problem set 11
• Problem set 12
• Problem set 13
• Winter competition
• Problem set 14
• Problem set 15
• Problem set 16
• Problem set 17
• Problem set 18
• Problem set 19
• Problem set 20
• Problem set 21
• Problem set 22
• Problem set 23
• Problem set 24
• Problem set 25
• Problem set 26
• Problem set 27
• Problem set 28
• Solutions to problem set 0
• Solutions to problem set 1
• Solutions to problem set 2
• Solutions to problem set 3
• Solutions to problem set 4
• Solutions to problem set 5
• Solutions to problem set 6
• Solutions to problem set 7
• Solutions to problem set 8
• Solutions to problem set 9
• Solutions to problem set 10
• Solutions to problem set 11
• Solutions to problem set 12
• Solutions to problem set 13
• Solutions to the winter competition
• Solutions to problem set 14
• Solutions to problem set 15
• Solutions to problem set 16
• Solutions to problem set 17
• Solutions to problem set 18
• Solutions to problem set 19
• Solutions to problem set 20
• Solutions to problem set 21
• Solutions to problem set 22
• Solutions to problem set 23
• Solutions to problem set 24
• Solutions to problem set 25
• Solutions to problem set 26
• Solutions to problem set 27
• Solutions to problem set 28
• Mathematical maze
• Two and two is more than four; A story
• Addendum: The San Jose experience
• Problem set SJ1
• Solutions to problem set SJ1
• Problem set SJ2
• Solutions to problem set SJ2
• Problem set SJ3
• Solutions to problem set SJ3

• Reviews

• [T]his is an excellent resource for those interested in math circles, including students and parents . . . For those interested in starting and running a math circle, I think it is an invaluable resource.

• Request Review Copy
Volume: 82012
MSC: Primary 00;

Moscow has a rich tradition of successful math circles, to the extent that many other circles are modeled on them. This book presents materials used during the course of one year in a math circle organized by mathematics faculty at Moscow State University, and also used at the mathematics magnet school known as Moscow School Number 57.

Each problem set has a similar structure: it combines review material with a new topic, offering problems in a range of difficulty levels. This time-tested pattern has proved its effectiveness in engaging all students and helping them master new material while building on earlier knowledge.

The introduction describes in detail how the math circles at Moscow State University are run. Dorichenko describes how the early sessions differ from later sessions, how to choose problems, and what sorts of difficulties may arise when running a circle. The book also includes a selection of problems used in the competition known as the Mathematical Maze, a mathematical story based on actual lessons with students, and an addendum on the San Jose Mathematical Circle, which is run in the Russian style.

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.

Undergraduate students interested in math circles, clever math problems, and high school education.

• Chapters
• Title page
• Contents
• Foreword
• Introduction
• Acknowledgments
• Problem set 0
• Problem set 1
• Problem set 2
• Problem set 3
• Problem set 4
• Problem set 5
• Problem set 6
• Problem set 7
• Problem set 8
• Problem set 9
• Problem set 10
• Problem set 11
• Problem set 12
• Problem set 13
• Winter competition
• Problem set 14
• Problem set 15
• Problem set 16
• Problem set 17
• Problem set 18
• Problem set 19
• Problem set 20
• Problem set 21
• Problem set 22
• Problem set 23
• Problem set 24
• Problem set 25
• Problem set 26
• Problem set 27
• Problem set 28
• Solutions to problem set 0
• Solutions to problem set 1
• Solutions to problem set 2
• Solutions to problem set 3
• Solutions to problem set 4
• Solutions to problem set 5
• Solutions to problem set 6
• Solutions to problem set 7
• Solutions to problem set 8
• Solutions to problem set 9
• Solutions to problem set 10
• Solutions to problem set 11
• Solutions to problem set 12
• Solutions to problem set 13
• Solutions to the winter competition
• Solutions to problem set 14
• Solutions to problem set 15
• Solutions to problem set 16
• Solutions to problem set 17
• Solutions to problem set 18
• Solutions to problem set 19
• Solutions to problem set 20
• Solutions to problem set 21
• Solutions to problem set 22
• Solutions to problem set 23
• Solutions to problem set 24
• Solutions to problem set 25
• Solutions to problem set 26
• Solutions to problem set 27
• Solutions to problem set 28
• Mathematical maze
• Two and two is more than four; A story
• Addendum: The San Jose experience
• Problem set SJ1
• Solutions to problem set SJ1
• Problem set SJ2
• Solutions to problem set SJ2
• Problem set SJ3
• Solutions to problem set SJ3
• [T]his is an excellent resource for those interested in math circles, including students and parents . . . For those interested in starting and running a math circle, I think it is an invaluable resource.