The shape of space
Title:
The shape of space
Author:
Weeks, Jeffrey R., 1956-
ISBN:
9780824707095
Edition:
2nd ed.
Publication Information:
New York : Marcel Dekker, 2002
Physical Description:
xii, 382 p. : ill. ; 23 cm
Series:
Monographs and textbooks in pure and applied mathematics ; 249
Monographs and textbooks in pure and applied mathematics
Series Title:
Monographs and textbooks in pure and applied mathematics ;
Monographs and textbooks in pure and applied mathematics
General Note:
Includes bibliographical references and index
Contents:
Machine generated contents note: Preface to the Second Edition -- Preface to the First Edition -- Acknowledgments --PART I Surfaces and Three-Manifolds -- 1. Flatland -- 2. Gluing -- 3. Vocabulary -- 4. Orientability -- 5. Connected Sums -- 6. Products -- 7. Flat Manifolds -- 8. Orientability vs. Two-Sidedness --PART II Geometries on Surfaces -- 9. The Sphere -- 10. The Hyperbolic Plane -- 11. Geometries on Surfaces -- 12. The Gauss-Bonnet Formula and the Euler Number --PART III Geometries on Three-Manifolds -- 13. Four-Dimensional Space -- 14. The Hypersphere -- 15. Hyperbolic Space -- 16. Geometries on Three-Manifolds I -- 17. Bundles -- 18. Geometries on Three-Manifolds II --PART IV The Universe -- 19. The Universe -- 20. The History of Space -- 21. Cosmic Crystallography -- 22. Circles in the Sky --Appendix A Answers -- Appendix B Bibliography -- Appendix C Conway's ZIP Proof.
Subject:
| Three-manifolds (Topology) |
| Surfaces |