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Mathematical Circles
 
Dmitri Fomin St. Petersburg State University, St. Petersburg, Russia
Sergey Genkin Microsoft Corporation
Ilia V. Itenberg Institut de Recherche Mathématique de Rennes, Rennes, France
Front Cover for Mathematical Circles
Available Formats:
Softcover ISBN: 978-0-8218-0430-8
Product Code: MAWRLD/7
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Electronic ISBN: 978-1-4704-2473-2
Product Code: MAWRLD/7.E
List Price: $42.00
MAA Member Price: $37.80
AMS Member Price: $33.60
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: $67.50
MAA Member Price: $60.75
AMS Member Price: $54.00
Front Cover for Mathematical Circles
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  • Front Cover for Mathematical Circles
  • Back Cover for Mathematical Circles
Mathematical Circles
Dmitri Fomin St. Petersburg State University, St. Petersburg, Russia
Sergey Genkin Microsoft Corporation
Ilia V. Itenberg Institut de Recherche Mathématique de Rennes, Rennes, France
Available Formats:
Softcover ISBN:  978-0-8218-0430-8
Product Code:  MAWRLD/7
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Electronic ISBN:  978-1-4704-2473-2
Product Code:  MAWRLD/7.E
List Price: $42.00
MAA Member Price: $37.80
AMS Member Price: $33.60
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: $67.50
MAA Member Price: $60.75
AMS Member Price: $54.00
  • Book Details
     
     
    Mathematical World
    Volume: 71996; 272 pp
    MSC: Primary 00;

    “This is a sample of rich Russian mathematical culture written by professional mathematicians with great experience in working with high school students … Problems are on very simple levels, but building to more complex and advanced work … [contains] solutions to almost all problems; methodological notes for the teacher … developed for a peculiarly Russian institution (the mathematical circle), but easily adapted to American teachers' needs, both inside and outside the classroom.”

    from the Translator's notes

    What kind of book is this? It is a book produced by a remarkable cultural circumstance in the former Soviet Union which fostered the creation of groups of students, teachers, and mathematicians called “mathematical circles”. The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport—without necessarily being competitive.

    This book is intended for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum. It is also a book of mathematical recreations and, at the same time, a book containing vast theoretical and problem material in main areas of what authors consider to be “extracurricular mathematics”. The book is based on a unique experience gained by several generations of Russian educators and scholars.

    Readership

    Graduate students and high school and college mathematics teachers.

  • Table of Contents
     
     
    • Chapters
    • 1. Chapter zero (Chapter 0)
    • 2. Parity (Chapter 1)
    • 3. Combinatorics–1 (Chapter 2)
    • 4. Divisibility and remainders (Chapter 3)
    • 5. The pigeon hole principle (Chapter 4)
    • 6. Graphs–1 (Chapter 5)
    • 7. The triangle inequality (Chapter 6)
    • 8. Games (Chapter 7)
    • 9. Problems for the first year (Chapter 8)
    • 10. Induction (Chapter 9)
    • 11. Divisibility–2: Congruence and Diophantine equations (Chapter 10)
    • 12. Combinatorics–2 (Chapter 11)
    • 13. Invariants (Chapter 12)
    • 14. Graphs–2 (Chapter 13)
    • 15. Geometry (Chapter 14)
    • 16. Number bases (Chapter 15)
    • 17. Inequalities (Chapter 16)
    • 18. Problems for the second year (Chapter 17)
    • 19. Mathematical contests (Chapter 18)
    • 20. Answers, hints, solutions (Chapter 19)
    • 21. References
  • Reviews
     
     
    • Fomin's Mathematical Circles is a strikingly elegant, practical tool for enabling American high-school teachers and math coaches to replicate the Russian mathematical circle here.

      Dianne Butkus, Saint Ignatius Loyola School
    • There is much to find, learn, and enjoy in this work for both students and teachers … well-prepared mathematical amateurs will also be delighted … throughout, the presentation and tone are charmingly appealing and appropriately “light”, even when more difficult topics are under discussion … a very worthwhile book; it most definitely belongs in every school and personal library.

      Mathematical Reviews
    • Could be considered among many other recreational mathematics books as one source of interesting problems to supplement instruction and encourage an appreciation for the beauty of mathematics.

      Mathematics Teaching in the Middle School
    • A valuable resource, primarily for middle school, but also for high school extra-curricular activities and class work … well written, and well translated.

      Zentralblatt MATH
    • A rich collection of good problems … useful notes for teachers … will be especially interesting for those who are dealing with all forms of cooperative learning … may be very useful wherever there are classes devoted to solving non-standard problems.

      American Mathematical Monthly
  • Request Review Copy
  • Get Permissions
Volume: 71996; 272 pp
MSC: Primary 00;

“This is a sample of rich Russian mathematical culture written by professional mathematicians with great experience in working with high school students … Problems are on very simple levels, but building to more complex and advanced work … [contains] solutions to almost all problems; methodological notes for the teacher … developed for a peculiarly Russian institution (the mathematical circle), but easily adapted to American teachers' needs, both inside and outside the classroom.”

from the Translator's notes

What kind of book is this? It is a book produced by a remarkable cultural circumstance in the former Soviet Union which fostered the creation of groups of students, teachers, and mathematicians called “mathematical circles”. The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport—without necessarily being competitive.

This book is intended for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum. It is also a book of mathematical recreations and, at the same time, a book containing vast theoretical and problem material in main areas of what authors consider to be “extracurricular mathematics”. The book is based on a unique experience gained by several generations of Russian educators and scholars.

Readership

Graduate students and high school and college mathematics teachers.

  • Chapters
  • 1. Chapter zero (Chapter 0)
  • 2. Parity (Chapter 1)
  • 3. Combinatorics–1 (Chapter 2)
  • 4. Divisibility and remainders (Chapter 3)
  • 5. The pigeon hole principle (Chapter 4)
  • 6. Graphs–1 (Chapter 5)
  • 7. The triangle inequality (Chapter 6)
  • 8. Games (Chapter 7)
  • 9. Problems for the first year (Chapter 8)
  • 10. Induction (Chapter 9)
  • 11. Divisibility–2: Congruence and Diophantine equations (Chapter 10)
  • 12. Combinatorics–2 (Chapter 11)
  • 13. Invariants (Chapter 12)
  • 14. Graphs–2 (Chapter 13)
  • 15. Geometry (Chapter 14)
  • 16. Number bases (Chapter 15)
  • 17. Inequalities (Chapter 16)
  • 18. Problems for the second year (Chapter 17)
  • 19. Mathematical contests (Chapter 18)
  • 20. Answers, hints, solutions (Chapter 19)
  • 21. References
  • Fomin's Mathematical Circles is a strikingly elegant, practical tool for enabling American high-school teachers and math coaches to replicate the Russian mathematical circle here.

    Dianne Butkus, Saint Ignatius Loyola School
  • There is much to find, learn, and enjoy in this work for both students and teachers … well-prepared mathematical amateurs will also be delighted … throughout, the presentation and tone are charmingly appealing and appropriately “light”, even when more difficult topics are under discussion … a very worthwhile book; it most definitely belongs in every school and personal library.

    Mathematical Reviews
  • Could be considered among many other recreational mathematics books as one source of interesting problems to supplement instruction and encourage an appreciation for the beauty of mathematics.

    Mathematics Teaching in the Middle School
  • A valuable resource, primarily for middle school, but also for high school extra-curricular activities and class work … well written, and well translated.

    Zentralblatt MATH
  • A rich collection of good problems … useful notes for teachers … will be especially interesting for those who are dealing with all forms of cooperative learning … may be very useful wherever there are classes devoted to solving non-standard problems.

    American Mathematical Monthly
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