Undergraduate Texts in Mathematics

Mathematical Expeditions

Chronicles by the Explorers

Authors: Laubenbacher, Reinhard, Pengelley, David

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eBook $39.99
price for USA (gross)
  • ISBN 978-1-4612-0523-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-0-387-98434-6
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  • Usually dispatched within 3 to 5 business days.
Softcover $54.95
price for USA
  • ISBN 978-0-387-98433-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book contains the stories of five mathematical journeys into new realms, told through the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, while others had more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realization that still greater vistas remained to be explored. The authors tell these stories by guiding the reader through the very words of the mathematicians at the heart of these events, and thereby provide insight into the art of approaching mathematical problems. The book can be used in a variety of ways. The five chapters are completely independent, each with varying levels of mathematical sophistication. The book will be enticing to students, to instructors, and to the intellectually curious reader. By working through some of the original sources and supplemental exercises, which discuss and solve - or attempt to solve - a great problem, this book helps the reader discover the roots of modern problems, ideas, and concepts, even whole subjects. Students will also see the obstacles that earlier thinkers had to clear in order to make their respective contributions to five central themes in the evolution of mathematics.

Table of contents (5 chapters)

  • Geometry: The Parallel Postulate

    Laubenbacher, Reinhard (et al.)

    Pages 1-53

  • Set Theory: Taming the Infinite

    Laubenbacher, Reinhard (et al.)

    Pages 54-94

  • Analysis: Calculating Areas and Volumes

    Laubenbacher, Reinhard (et al.)

    Pages 95-155

  • Number Theory: Fermat’s Last Theorem

    Laubenbacher, Reinhard (et al.)

    Pages 156-203

  • Algebra: The Search for an Elusive Formula

    Laubenbacher, Reinhard (et al.)

    Pages 204-258

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4612-0523-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-0-387-98434-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $54.95
price for USA
  • ISBN 978-0-387-98433-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Expeditions
Book Subtitle
Chronicles by the Explorers
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0523-4
DOI
10.1007/978-1-4612-0523-4
Hardcover ISBN
978-0-387-98434-6
Softcover ISBN
978-0-387-98433-9
Series ISSN
0172-6056
Edition Number
1
Number of Pages
X, 278
Topics