12:29 22-01-2019 Course Archives: Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore
Course Archives Theoretical Statistics and Mathematics Unit
Course: Differential Topology
Time: Currently not offered
Level: Postgraduate
Past Exams

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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Past Exams
11.pdf 13.pdf 15.pdf 17.pdf 19.pdf
09.pdf 13.pdf 15.pdf 17.pdf 19.pdf

Supplementary and Back Paper
17.pdf 19.pdf

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