| Description |
xviii, 430 pages : illustrations ; 25 cm |
| Series |
Graduate texts in mathematics ; 153 |
|
Graduate texts in mathematics ; 153
|
| Contents |
Ch. 1. Path Integrals -- Ch. 2. Angles and Deformations -- Ch. 3. The Winding Number -- Ch. 4. Applications of Winding Numbers -- Ch. 5. De Rham Cohomology and the Jordan Curve Theorem -- Ch. 6. Homology -- Ch. 7. Indices of Vector Fields -- Ch. 8. Vector Fields on Surfaces -- Ch. 9. Holes and Integrals -- Ch. 10. Mayer-Vietoris -- Ch. 11. Covering Spaces -- Ch. 12. The Fundamental Group -- Ch. 13. The Fundamental Group and Covering Spaces -- Ch. 14. The Van Kampen Theorem -- Ch. 15. Cohomology -- Ch. 16. Variations -- Ch. 17. The Topology of Surfaces -- Ch. 18. Cohomology on Surfaces -- Ch. 19. Riemann Surfaces -- Ch. 20. Riemann Surfaces and Algebraic Curves -- Ch. 21. The Riemann-Roch Theorem -- Ch. 22. Toward Higher Dimensions -- Ch. 23. Higher Homology -- Ch. 24. Duality -- Appendix A: Point Set Topology -- Appendix B: Analysis -- Appendix C: Algebra -- Appendix D: On Surfaces -- Appendix E: Proof of Borsuk's Theorem |
| Analysis |
Algebraic topology |
| Notes |
Bibliography: p419-420. - Includes index |
| Bibliography |
Includes bibliographical references (pages 419-420) and indexes |
| Subject |
Algebraic topology.
|
|
Algebraic topology.
|
| LC no. |
94021786 |
| ISBN |
0387943269 (New York : hardcover : acid-free paper) |
|
0387943277 (New York : softcover : acid-free paper) |
|
3540943269 (Berlin : hardcover : acid-free paper) |
|
3540943277 (Berlin : softcover : acid-free paper) |
|
