Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Easy as π?

An Introduction to Higher Mathematics

  • Book
  • © 1999

Overview

Authors:
  1. O. A. Ivanov

    1. Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xviii
    Download chapter PDF

  2. Induction

    • O. A. Ivanov
    Pages 1-12

  3. Combinatorics

    • O. A. Ivanov
    Pages 13-31

  4. Geometric Transformations

    • O. A. Ivanov
    Pages 32-45

  5. Inequalities

    • O. A. Ivanov
    Pages 46-62

  6. Sets, Equations, and Polynomials

    • O. A. Ivanov
    Pages 63-84

  7. Graphs

    • O. A. Ivanov
    Pages 85-102

  8. The Pigeonhole Principle

    • O. A. Ivanov
    Pages 103-117

  9. The Quaternions

    • O. A. Ivanov
    Pages 118-127

  10. The Derivative

    • O. A. Ivanov
    Pages 128-154

  11. The Foundations of Analysis

    • O. A. Ivanov
    Pages 155-175

  12. Back Matter

    Pages 177-187
    Download chapter PDF
Back to top

Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia

    O. A. Ivanov

Bibliographic Information

  • Book Title: Easy as π?

  • Book Subtitle: An Introduction to Higher Mathematics

  • Authors: O. A. Ivanov

  • DOI: https://doi.org/10.1007/978-1-4612-0553-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • Softcover ISBN: 978-0-387-98521-3Published: 04 December 1998

  • eBook ISBN: 978-1-4612-0553-1Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XVIII, 190

  • Number of Illustrations: 1 b/w illustrations

  • Additional Information: Original Russian edition published in St. Petersburg, 1995

  • Topics: Combinatorics, Number Theory, Linear and Multilinear Algebras, Matrix Theory, Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation