Excursions in the History of Mathematics

Authors: Kleiner, Israel

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About this Textbook

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)

Table of contents (15 chapters)

  • Highlights in the History of Number Theory: 1700 BC– 2008

    Kleiner, Israel

    Pages 3-30

  • Fermat: The Founder of Modern Number Theory

    Kleiner, Israel

    Pages 31-45

  • Fermat’s Last Theorem: From Fermat to Wiles

    Kleiner, Israel

    Pages 47-64

  • History of the Infinitely Small and the Infinitely Large in Calculus, with Remarks for the Teacher

    Kleiner, Israel

    Pages 67-101

  • A Brief History of the Function Concept

    Kleiner, Israel

    Pages 103-124

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-0-8176-8268-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-0-8176-8267-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Excursions in the History of Mathematics
Authors
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8268-2
DOI
10.1007/978-0-8176-8268-2
Hardcover ISBN
978-0-8176-8267-5
Edition Number
1
Number of Pages
XXI, 347
Number of Illustrations and Tables
36 b/w illustrations
Topics