- Book
- vii, 286 p. : ill. ; 26 cm.
- 1. Introduction-- 2. The alternating algebra-- 3. De Rham cohomology-- 4. Chain complexes and their cohomology-- 5. The Mayer-Vietoris sequence-- 6. Homotopy-- 7. Applications of De Rham cohomology-- 8. Smooth manifolds-- 9. Differential forms on smooth manifolds-- 10. Integration on manifolds-- 11. Degree, linking numbers and index of vector fields-- 12. The Poincare-Hopf theorem-- 13. Poincare duality-- 14. The complex projective space CPn-- 15. Fiber bundles and vector bundles-- 16. Operations on vector bundles and their sections-- 17. Connections and curvature-- 18. Characteristic classes of complex vector bundles-- 19. The Euler class-- 20. Cohomology of projective and Grassmanian bundles-- 21. Thom isomorphism and the general Gauss-Bonnet formula.
- (source: Nielsen Book Data)9780521580595 20160528
(source: Nielsen Book Data)9780521580595 20160528
- 1. Introduction-- 2. The alternating algebra-- 3. De Rham cohomology-- 4. Chain complexes and their cohomology-- 5. The Mayer-Vietoris sequence-- 6. Homotopy-- 7. Applications of De Rham cohomology-- 8. Smooth manifolds-- 9. Differential forms on smooth manifolds-- 10. Integration on manifolds-- 11. Degree, linking numbers and index of vector fields-- 12. The Poincare-Hopf theorem-- 13. Poincare duality-- 14. The complex projective space CPn-- 15. Fiber bundles and vector bundles-- 16. Operations on vector bundles and their sections-- 17. Connections and curvature-- 18. Characteristic classes of complex vector bundles-- 19. The Euler class-- 20. Cohomology of projective and Grassmanian bundles-- 21. Thom isomorphism and the general Gauss-Bonnet formula.
- (source: Nielsen Book Data)9780521580595 20160528
(source: Nielsen Book Data)9780521580595 20160528
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA612.3 .M33 1997 | Unknown On reserve at Li and Ma Science Library 2-hour loan |
MATH-215B-01
- Course
- MATH-215B-01 -- Complex Analysis, Geometry, and Topology
- Instructor(s)
- Cohen, Ralph L
2. Differential topology [1976]
- Book
- x, 221 p. : ill. ; 25 cm.
- Introduction.- Manifolds and Maps.- Function Spaces.- Transversality.- Vector Bundles and Tubular Neighborhoods.- Degrees, Intersection Numbers and the Euler Characteristic.- Morse Theory.- Corbodism.- Isotopy.- Surfaces.- Bibliography.- Appendix.- Index.
- (source: Nielsen Book Data)9780387901480 20160528
(source: Nielsen Book Data)9780387901480 20160528
- Introduction.- Manifolds and Maps.- Function Spaces.- Transversality.- Vector Bundles and Tubular Neighborhoods.- Degrees, Intersection Numbers and the Euler Characteristic.- Morse Theory.- Corbodism.- Isotopy.- Surfaces.- Bibliography.- Appendix.- Index.
- (source: Nielsen Book Data)9780387901480 20160528
(source: Nielsen Book Data)9780387901480 20160528
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA613.6 .H57 | Unknown On reserve at Li and Ma Science Library 2-hour loan |
QA613.6 .H57 | Unknown On reserve at Li and Ma Science Library 2-hour loan |
QA613.6 .H57 | Unknown On reserve at Li and Ma Science Library 2-hour loan |
MATH-215B-01
- Course
- MATH-215B-01 -- Complex Analysis, Geometry, and Topology
- Instructor(s)
- Cohen, Ralph L