The Shape of Space (Pure and Applied Mathematics)

by Jeffrey R. Weeks

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If you are in a room, and look up and see your own feet in the next room above, and your head below in one room down, and images of yourself in each room on all sides - then you are in a 3-dimensional torus.

Jeffrey Weeks wanted to convey what it is like to live inside different topologies. And he succeeds with this both rigorous and accessible book. (

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birrellwalsh | Jan 10, 2011 |

A gentle intro to topology and its application to the universe.

fpagan | Dec 28, 2006 |

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Wikipedia in English (7)

Convex uniform honeycombs in hyperbolic space

Grigori Perelman

Jeffrey Weeks (mathematician)

Klein bottle

N-sphere

Order-4 dodecahedral honeycomb

Ricci flow

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Amazon.com Product Description (ISBN 0824707095, Hardcover)

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.

(retrieved from Amazon Thu, 14 Feb 2013 13:29:49 -0500)

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