|Course Archives Theoretical Statistics and Mathematics Unit|
Course: Differential Topology
Time: Currently not offered
| Syllabus |
Syllabus: 1. Manifolds in RN, submanifolds, smooth maps of manifolds, derivatives and tangents, Inverse function theorem and immersions, submersions, Transversality, Homotopy and stability, Sards theorem and Morse functions, embedding manifolds in Euclidean space.
2. Differential Forms and Integration of forms, Stokes Theorem, Definition of de RhamCohomology.
Suggested Texts :
1. V. Guillemin and A. Pollack, Differential Topology, Prentice-Hall (1974).
2. J.W. Milnor, Topology from the Differentiable Viewpoint, Princeton Univ. Press (1997).
3. J.W. Milnor, Topology from the Differentiable Viewpoint, Univ Press of Virginia (1965).
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