Articoli correlati a The Shape of Space
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti
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
Appendix A Answers
Appendix B Bibliography
Appendix C Conway's ZIP Proof
Index
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The Shape of Space (Textbooks in Mathematics)
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The Shape of Space : How to Visualize Surfaces and Three-Dimensional Manifolds
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The Shape of Space. Second edition (Pure and Applied Mathematics)
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The Shape of Space (Chapman & Hall/CRC Pure and Applied Mathematics)
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