The Shape of Space: How to Visualize Surfaces and ThreeDimensional ManifoldsMaintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two and threedimensional 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 mindexpanding 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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LibraryThing Review
User Review  birrellwalsh  LibraryThingIf 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 3dimensional ... Read full review
Review: The Shape of Space (Chapman & Hall/CRC Pure and Applied Mathematics)
User Review  Caleb  GoodreadsThis book does a great job of explaining geometry, topology and physics at an accessible level without dumbing it down too much or focusing on irrelevant conceptually easy topics; when I took a ... Read full review