Mathematics and Its History

  • John¬†Stillwell

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. John Stillwell
    Pages 1-16
  3. John Stillwell
    Pages 17-36
  4. John Stillwell
    Pages 37-51
  5. John Stillwell
    Pages 53-67
  6. John Stillwell
    Pages 69-85
  7. John Stillwell
    Pages 87-108
  8. John Stillwell
    Pages 109-125
  9. John Stillwell
    Pages 127-156
  10. John Stillwell
    Pages 157-179
  11. John Stillwell
    Pages 181-202
  12. John Stillwell
    Pages 203-223
  13. John Stillwell
    Pages 225-242
  14. John Stillwell
    Pages 243-274
  15. John Stillwell
    Pages 275-294
  16. John Stillwell
    Pages 295-312
  17. John Stillwell
    Pages 313-334
  18. John Stillwell
    Pages 335-357
  19. John Stillwell
    Pages 359-381
  20. John Stillwell
    Pages 383-413

About this book

Introduction

From the reviews of the second edition:

"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here."

(David Parrott, Australian Mathematical Society)

"The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community."

(European Mathematical Society)

"Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact."

(Denis Bonheure, Bulletin of the Belgian Society)

This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises.

Keywords

Algebra Elliptic functions Geometry Greek mathematics Group theory History of Mathematics History of calculus History of math calculus number theory

Authors and affiliations

  • John¬†Stillwell
    • 1
  1. 1.University of San FranciscoDepartment of MathematicsSan FranciscoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-6053-5
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-6052-8
  • Online ISBN 978-1-4419-6053-5
  • Series Print ISSN 0172-6056
  • About this book