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Mathematics as Problem Solving

  • Alexander Soifer

Table of contents

  1. Front Matter
    Pages 1-16
  2. Alexander Soifer
    Pages 1-18
  3. Alexander Soifer
    Pages 19-25
  4. Alexander Soifer
    Pages 27-43
  5. Alexander Soifer
    Pages 45-75
  6. Alexander Soifer
    Pages 77-92
  7. Alexander Soifer
    Pages 93-102
  8. Alexander Soifer
    Pages 103-104
  9. Back Matter
    Pages 1-2

About this book

Introduction

Retelling the best solutions and sharing the secrets of discovery are part of the process of teaching problem solving. Ideally, this process is characterized by mathematical skill, good taste, and wit. It is a characteristically personal process and the best such teachers have surely left their personal marks on students and readers. Alexander Soifer is a teacher of problem solving and his book, Mathematics as Problem Solving, is designed to introduce problem solving to the next generation.

--Cecil Rousseau

The American Mathematical Monthly

The problems faithfully reflect the world famous Russian school of mathematics, whose folklore is carefully interwoven with more traditional topics. Many of the problems are drawn from the author's rich repertoire of personal experiences, dating back to his younger days as an outstanding competitor in his native Russia, and spanning decades and continents as an organizer of competitions at the highest level.

--George Bersenyi

The book contains a very nice collection of problems of various difficulty. I particularly liked the problems on combinatorics and geometry.

--Paul Erdos

Professor Soifer has put together a splendid collection of elementary problems designed to lead students into significant mathematical concepts and techniques. Highly recommended.

--Martin Gardner

To assemble so much material of the type used in Mathematical Olympiads, which has been tried and tested there, is unusual. To then present it in a form which develops themes, supported by relevant examples and problems for the reader, does the author great credit.

--R. W. Whitworth

The Mathematical Gazette

Keywords

Algebra Problem-solving combinatorial problems geometry induction mathematics pigeonhole principle proof proof writing

Authors and affiliations

  • Alexander Soifer

There are no affiliations available

Bibliographic information