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In Search of Infinity

Authors: Vilenkin, N.Ya.

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About this book

The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of it foundations. The author of this book presents a popular-level account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In doing so, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world.

"When I read the first edition of the book, about 20 years ago, I was carried away by Vilenkin’s storytelling and his ability to bring subtle mathematical ideas down to earth. He stretches our imagination and educates our intuition…The second edition improves on the first by omission of some routine material about finite properties of sets, and increased attention to infinity. There is a wealth of new material on the position of infinity in human thought, from philosophy to physics, and also on its role in the history of mathematics. In particular, there are now biographical notes on over 100 mathematicians.

Abe Shenitzer’s elegant translation makes this a rare work of literature---a serious mathematical book that will be read from over to cover." ---John Stillwell, Monash University, Australia

Reviews

"In fewer than 150 pages Vilenkin has packed a whole course on infinity: its history, philosophy, and mathematical theory. Abe Shenitzer's translation is very smooth and natural... When fractals have gone out of style, and chaos is no longer the flavor of the month, some kind of 'geometric set theory' or 'set-theoretic geometry' may very well remain, and In Search of Infinity may still be the best introduction to it."

--American Mathematical Monthly


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-1-4612-0837-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-0-8176-3819-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4612-6915-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
In Search of Infinity
Authors
Copyright
1995
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0837-2
DOI
10.1007/978-1-4612-0837-2
Hardcover ISBN
978-0-8176-3819-1
Softcover ISBN
978-1-4612-6915-1
Edition Number
1
Number of Pages
VI, 146
Topics

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