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Shape of Space How to Visualize Surfaces and Three-Dimensional Manifolds

ISBN-10: 0824707095
ISBN-13: 9780824707095
Edition: 2nd 2001 (Revised)
Authors: Jeffrey R. Weeks
List price: $39.95 Buy it from $27.20
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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  More...

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Book details

List price: $39.95
Edition: 2nd
Copyright year: 2001
Publisher: CRC Press LLC
Publication date: 12/12/2001
Binding: Hardcover
Pages: 408
Size: 6.25" wide x 9.00" long x 1.00" tall
Weight: 1.716
Language: English

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.

Preface to the Second Edition
Preface to the First Edition
Acknowledgments
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
Answers
Bibliography
Conway's ZIP Proof
Index

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