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Mathematics and Its Applications

Non-Euclidean Geometries

János Bolyai Memorial Volume

Editors: Prékopa, András, Molnár, Emil (Eds.)

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eBook $169.00
price for USA in USD (gross)
  • ISBN 978-0-387-29555-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-387-29554-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $239.00
price for USA in USD
  • ISBN 978-1-4614-9771-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

"From nothing I have created a new different world,” wrote János Bolyai to his father, Wolgang Bolyai, on November 3, 1823, to let him know his discovery of non-Euclidean geometry, as we call it today. The results of Bolyai and the co-discoverer, the Russian Lobachevskii, changed the course of mathematics, opened the way for modern physical theories of the twentieth century, and had an impact on the history of human culture.

The papers in this volume, which commemorates the 200th anniversary of the birth of János Bolyai, were written by leading scientists of non-Euclidean geometry, its history, and its applications. Some of the papers present new discoveries about the life and works of János Bolyai and the history of non-Euclidean geometry, others deal with geometrical axiomatics; polyhedra; fractals; hyperbolic, Riemannian and discrete geometry; tilings; visualization; and applications in physics.

Audience

This book is intended for those who teach, study, and do research in geometry and history of mathematics. Cultural historians, physicists, and computer scientists will also find it an important source of information.

Table of contents (24 chapters)

  • The Revolution of János Bolyai

    Prékopa, András

    Pages 3-59

  • Gauss and Non-Euclidean Geometry

    Gray, Jeremy

    Pages 61-80

  • János Bolyai’s New Face

    Kiss, Elemér

    Pages 81-93

  • Hyperbolic Geometry, Dimension-Free

    Benz, Walter

    Pages 97-107

  • An Absolute Property of Four Mutually Tangent Circles

    Coxeter, H.S.M.

    Pages 109-114

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-0-387-29555-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-387-29554-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $239.00
price for USA in USD
  • ISBN 978-1-4614-9771-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Non-Euclidean Geometries
Book Subtitle
János Bolyai Memorial Volume
Editors
  • András Prékopa
  • Emil Molnár
Series Title
Mathematics and Its Applications
Series Volume
581
Copyright
2006
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-29555-8
DOI
10.1007/0-387-29555-0
Hardcover ISBN
978-0-387-29554-1
Softcover ISBN
978-1-4614-9771-4
Edition Number
1
Number of Pages
XIII, 506
Topics