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  • © 2012

Excursions in the History of Mathematics

Birkhäuser

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxi
  2. Number Theory

    1. Front Matter

      Pages 1-1
    2. Fermat: The Founder of Modern Number Theory

      • Israel Kleiner
      Pages 31-45
  3. Calculus/Analysis

    1. Front Matter

      Pages 65-65
    2. A Brief History of the Function Concept

      • Israel Kleiner
      Pages 103-124
  4. Proof

    1. Front Matter

      Pages 151-151
    2. Paradoxes: What Are They Good For?

      • Israel Kleiner
      Pages 181-196
    3. Proof: A Many-Splendored Thing

      • Israel Kleiner
      Pages 215-236
  5. Courses Inspired by History

    1. Front Matter

      Pages 237-237
    2. Numbers as a Source of Mathematical Ideas

      • Israel Kleiner
      Pages 239-259
    3. Famous Problems in Mathematics

      • Israel Kleiner
      Pages 285-302
  6. Brief Biographies of Selected Mathematicians

    1. Front Matter

      Pages 303-303

About this book

This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively.  Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians—Dedekind, Euler, Gauss, Hilbert, and Weierstrass—who played major roles in the historical events described in the first four parts of the work.

Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.

Reviews

From the reviews:

“The book under review was written with two main goals in mind: (1) to arose mathematics teachers’ interest in the history of mathematics, and (2) to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component. … The book can serve teachers of mathematics as well as mathematicians who want to get to know historical background of their subjects. It can be also useful to those teaching or studying the history of mathematics.” (Roman Murawski, Zentralblatt MATH, Vol. 1230, 2012)

Authors and Affiliations

  • Department of Mathematics and Statistics, Mathematics, York University, Toronto, Canada

    Israel Kleiner

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access