Softcover ISBN:  9780821868744 
Product Code:  MCL/8 
List Price:  $25.00 
Individual Price:  $18.75 
Electronic ISBN:  9780821884928 
Product Code:  MCL/8.E 
List Price:  $25.00 
Individual Price:  $18.75 

Book DetailsMSRI Mathematical Circles LibraryVolume: 8; 2012; 240 ppMSC: 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 timetested 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.ReadershipUndergraduate students interested in math circles, clever math problems, and high school education.

Table of Contents

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


Additional Material

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.
Vicentiu D. Radulescu, Zentralblatt MATH


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 Book Details
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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 timetested 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.
Vicentiu D. Radulescu, Zentralblatt MATH