The shape of space
By: Jeffrey R. Weeks.
Edition: 2nd ed.
Series: Monographs and textbooks in pure and applied mathematics ;; 249
Publisher: Marcel Dekker; CRC
Published: 2002
Place of publication: New York
Language: eng
Number of pages: 382
Subjects: Three-manifolds (Topology); Surfaces
Description: 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. -- from PUBLISHER DESCRIPTION.
Notes: Includes index.
Table of contents: title: Machine generated contents note: Preface to the Second Edition; title: Preface to the First Edition; title: Acknowledgments; title: PART I Surfaces and Three-Manifolds; title: 1. Flatland; title: 2. Gluing; title: 3. Vocabulary; title: 4. Orientability; title: 5. Connected Sums; title: 6. Products; title: 7. Flat Manifolds; title: 8. Orientability vs. Two-Sidedness; title: PART II Geometries on Surfaces; title: 9. The Sphere; title: 10. The Hyperbolic Plane; title: 11. Geometries on Surfaces; title: 12. The Gauss-Bonnet Formula and the Euler Number; title: PART III Geometries on Three-Manifolds; title: 13. Four-Dimensional Space; title: 14. The Hypersphere; title: 15. Hyperbolic Space; title: 16. Geometries on Three-Manifolds I; title: 17. Bundles; title: 18. Geometries on Three-Manifolds II; title: PART IV The Universe; title: 19. The Universe; title: 20. The History of Space; title: 21. Cosmic Crystallography; title: 22. Circles in the Sky; title: Appendix A Answers; title: Appendix B Bibliography; title: Appendix C Conway's ZIP Proof.