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

Name: Shape of Space How to Visualize Surfaces and Three-Dimensional Manifolds
Price: 15.75 USD
Availability: InStock
ISBN: 9780824707095

ISBN-10: 0824707095

ISBN-13: 9780824707095

Edition: 2nd 2002 (Revised)

Authors: Jeffrey R. Weeks

List price: $41.95

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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.

Book details

List price: $41.95
Edition: 2nd
Copyright year: 2002
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: 1.804
Language: English



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