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- About this Textbook
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Convex and discrete geometry is one of the most intuitive subjects in mathematics. One can explain many of its problems, even the most difficult - such as the sphere-packing problem (what is the densest possible arrangement of spheres in an n-dimensional space?) and the Borsuk problem (is it possible to partition any bounded set in an n-dimensional space into n+1 subsets, each of which is strictly smaller in "extent" than the full set?) - in terms that a layman can understand; and one can reasonably make conjectures about their solutions with little training in mathematics.
- Table of contents (7 chapters)
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Borsuk’s Problem
Pages 1-13
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Finite Packing Problems
Pages 15-35
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The Venkov-McMullen Theorem and Stein’s Phenomenon
Pages 37-54
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Local Packing Phenomena
Pages 55-82
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Category Phenomena
Pages 83-98
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Table of contents (7 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Strange Phenomena in Convex and Discrete Geometry
- Authors
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- Chuanming Zong
- Series Title
- Universitext
- Copyright
- 1996
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer-Verlag New York, Inc.
- eBook ISBN
- 978-1-4613-8481-6
- DOI
- 10.1007/978-1-4613-8481-6
- Softcover ISBN
- 978-0-387-94734-1
- Series ISSN
- 0172-5939
- Edition Number
- 1
- Number of Pages
- VI, 158
- Number of Illustrations
- 6 b/w illustrations
- Topics
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