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1 Remote Warehouse Mathematics- Applied

Other titles in the Pure and Applied Mathematics series:

Pure and Applied Mathematics #249: The Shape of Space, Second Edition

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Pure and Applied Mathematics #249: The Shape of Space, Second Edition Cover

 

Synopses & Reviews

Publisher Comments:

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 behaviour of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

Book News Annotation:

This friendly textbook explores many of the possible answers to the question, "What is the universe shaped like?" It provides an overview of the basic geometry of two- and three-dimensional spaces, illustrating the connection between geometry, cosmology, and the behavior of the physical universe. Numerous illustrations, exercises, and thought-experiments are included. Technical language and mathematical equations are kept to a minimum. Weeks is a "freelance mathematician" and a MacArthur Fellow.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

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 GaussûBonnet 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 ConwayÆs ZIP Proof
Index

Product Details

ISBN:
9780824707095
Author:
Weeks, Jeffrey R.
Publisher:
CRC Press
Author:
Weeks, Weeks R.
Location:
New York
Subject:
General
Subject:
Applied
Subject:
Geometry - General
Subject:
Surfaces
Subject:
Three-manifolds (Topology)
Subject:
Three-manifolds
Subject:
Mathematics-Applied
Edition Number:
2
Edition Description:
M. Dekker
Series:
Monographs and Textbooks in Pure and Applied Mathematics
Series Volume:
249
Publication Date:
20011231
Binding:
Hardcover
Language:
English
Illustrations:
Yes
Pages:
408
Dimensions:
9.22x6.24x.94 in. 1.49 lbs.

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Pure and Applied Mathematics #249: The Shape of Space, Second Edition New Hardcover
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