Introduction to Differential Topology [Brin M.G.] {Course Notes}

Introduction to Differential Topology [Brin M.G.] {Course Notes} ----->SEEDD!!! 0.INTRO 1.Basics 2.Derivate and Chain rule in Euclidean spaces 3.three derivates 4.Higher Derivates 5.The full definition of differentiable manifold 6.The tangent space of a manifold 7.The inverse function Theorem 8.The C category and diffeomorphisms 9.Vector fields and flows 10. Consequences of the inverse function theorem 11.Submanifolds 12.Bump functions and partitions of unity 13 The C^1 metric 14.The tangent space over a coordinate patch 15.Approximations 16.Sard's theorem 17.Transversatility 18.Manifolds with boundary

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billy901 (2010-07-18)

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