Advertisement

Easy as π?

An Introduction to Higher Mathematics

  • O. A. Ivanov

Table of contents

  1. Front Matter
    Pages i-xviii
  2. O. A. Ivanov
    Pages 1-12
  3. O. A. Ivanov
    Pages 13-31
  4. O. A. Ivanov
    Pages 32-45
  5. O. A. Ivanov
    Pages 46-62
  6. O. A. Ivanov
    Pages 63-84
  7. O. A. Ivanov
    Pages 85-102
  8. O. A. Ivanov
    Pages 103-117
  9. O. A. Ivanov
    Pages 118-127
  10. O. A. Ivanov
    Pages 128-154
  11. O. A. Ivanov
    Pages 155-175
  12. Back Matter
    Pages 177-187

About this book

Introduction

The present book is rare, even unique of its kind, at least among mathematics texts published in Russian. You have before you neither a textbook nor a monograph, although these selected chapters from elementary mathematics certainly constitute a fine educational tool. It is my opinion that this is more than just another book about mathematics and the art of teaching that subject. Without considering the actual topics treated (the author himself has described these in sufficient detail in of the book as a whole, the Introduction), I shall attempt to convey a general idea and describe the impressions it makes on the reader. Almost every chapter begins by considering well-known problems of elementary mathematics. Now, every worthwhile elementary problem has hidden behind its diverting formulation what might be called "higher mathematics," or, more simply, mathematics, and it is this that the author demonstrates to the reader in this book. It is thus to be expected that every chapter should contain subject matter that is far from elementary. The end result of reading the book is that the material treated has become for the reader "three-dimensional" as it were, as in a hologram, capable of being viewed from all sides.

Keywords

Combinatorics Higher Mathematics Matrix Pigeonhole principle calculus finite field graphs

Authors and affiliations

  • O. A. Ivanov
    • 1
  1. 1.Department of Mathematics and MechanicsSt. Petersburg State UniversitySt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0553-1
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98521-3
  • Online ISBN 978-1-4612-0553-1
  • Buy this book on publisher's site