Classic Texts in the Sciences

On the Hypotheses Which Lie at the Bases of Geometry

Authors: Riemann, Bernhard

Editors: Jost, Jürgen (Ed.)

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  • Presents a revised translation of Riemann's classic text
  • Connects modern research with Riemann's text
  • Includes a biographical outline and a chronological table
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-26042-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
valid through March 31, 2020
  • ISBN 978-3-319-26040-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-319-79880-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. 

Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.

Reviews

“It is a modern version of the classical Riemann’s lecture about developments in the geometry and the birth of the Riemannian geometry. … it brings the basic concepts and the necessary mathematical background that will help you to read this important and classical piece of work that was Riemann’s lecture on geometry. … interesting not only to mathematicians but also to physicist and philosophers. It is an interesting and well-crafted book and I recommend it to your personal library.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, June, 2016)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-26042-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
valid through March 31, 2020
  • ISBN 978-3-319-26040-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-319-79880-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
On the Hypotheses Which Lie at the Bases of Geometry
Authors
Editors
  • Jürgen Jost
Series Title
Classic Texts in the Sciences
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-26042-6
DOI
10.1007/978-3-319-26042-6
Hardcover ISBN
978-3-319-26040-2
Softcover ISBN
978-3-319-79880-6
Series ISSN
2365-9963
Edition Number
1
Number of Pages
X, 172
Number of Illustrations
1 b/w illustrations
Topics