The Shape of Space

The Shape of Space

4.36 (110 ratings by Goodreads)
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Description

Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
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Product details

  • Hardback | 408 pages
  • 152 x 229 x 23.88mm | 658g
  • CRC Press Inc
  • Bosa Roca, United States
  • English
  • New edition
  • 2nd New edition
  • Cover logos, title pg, disclaimer all done.
  • 0824707095
  • 9780824707095
  • 239,501

Table of contents

SURFACES AND THREE-MANIFOLDS
Flatland
Gluing
Vocabulary
Orientability
Connected Sums
Products
Flat Manifolds
Orientability vs. Two-Sidedness

GEOMETRIES ON SURFACES
The Sphere
The Hyperbolic Plane
Geometries on Surfaces
The Gauss-Bonnet Formula and the
Euler Number

GEOMETRIES ON THREE-MANIFOLDS
Four-Dimensional Space
The Hypersphere
Hyperbolic Space
Geometries on Three-Manifolds I
Bundles
Geometries on Three-Manifolds II

THE UNIVERSE
The Universe
The History of Space
Cosmic Crystallography
Circles in the Sky

Appendix A Answers
Appendix B Bibliography
Appendix C Conway's ZIP Proof
Index
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Rating details

110 ratings
4.36 out of 5 stars
5 52% (57)
4 36% (40)
3 8% (9)
2 4% (4)
1 0% (0)
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