Readings in Mathematics

Mathematical Masterpieces

Further Chronicles by the Explorers

Authors: Knoebel, A., Laubenbacher, R., Lodder, J., Pengelley, D.

  • Fully evolved teaching text, developed and class tested for over 15 years
  • Uses original sources to teach the history of mathematics – an original yet fascinating approach
  • Heavily illustrated with line drawings and half-tones, including many historical photographs
  • Each chapter is self-contained and could be used independently
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Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-33062-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-33060-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-0-387-33061-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Experience the discovery of mathematics by reading the original work of some of the greatest minds throughout history. Here are the stories of four mathematical adventures, including the Bernoulli numbers as the passage between discrete and continuous phenomena, the search for numerical solutions to equations throughout time, the discovery of curvature and geometric space, and the quest for patterns in prime numbers. Each story is told through the words of the pioneers of mathematical thought. Particular advantages of the historical approach include providing context to mathematical inquiry,  perspective to proposed conceptual solutions, and a glimpse into the direction research has taken. The text is ideal for an undergraduate seminar, independent reading, or a capstone course, and offers a wealth of student exercises with a prerequisite of at most multivariable calculus.

Reviews

From the reviews:

"This book is closely related to courses of mathematics held for students at New Mexico State University … . An important aspect of the book is the numerous exercises, which should help students to gain a deeper insight into the presented material. Numerous references and well-organized indices make the book easy to use. It can be recommended for university libraries and students with an interest in the history of mathematics presented from a modern point of view." (EMS Newsletter, September, 2008)

"This book consists of four chapters, each of which presents a ‘sequence of selected primary sources’ leading up to a ‘masterpiece of mathematical achievement’. … Each chapter contains … lots of historical comments sketching the further development of the topic. There are also a lot of exercises. … This is a well written and entertaining book that can (and should) be used in seminars or reading courses." (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1140, 2008)


Table of contents (4 chapters)

  • The Bridge Between Continuous and Discrete

    Knoebel, Arthur (et al.)

    Pages 1-82

  • Solving Equations Numerically: Finding Our Roots

    Knoebel, Arthur (et al.)

    Pages 83-157

  • Curvature and the Notion of Space

    Knoebel, Arthur (et al.)

    Pages 159-227

  • Patterns in Prime Numbers: The Quadratic Reciprocity Law

    Knoebel, Arthur (et al.)

    Pages 229-322

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-33062-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-33060-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-0-387-33061-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Masterpieces
Book Subtitle
Further Chronicles by the Explorers
Authors
Series Title
Readings in Mathematics
Copyright
2007
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-33062-4
DOI
10.1007/978-0-387-33062-4
Hardcover ISBN
978-0-387-33060-0
Softcover ISBN
978-0-387-33061-7
Edition Number
1
Number of Pages
XII, 340
Topics