The Shape of Space - Rilegato

Weeks, Jeffrey R.

Rilegato

ISBN 10: 0824707095 ISBN 13: 9780824707095

Casa editrice: CRC Press, 2001

Riassunto

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.

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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

Dettagli dell'edizione

• Editore: CRC Press
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 0824707095
• ISBN 13: 9780824707095
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 408
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile