The Local Theory of Smooth Functions

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series


In this chapter, we treat the fundamentals of differential calculus in open subsets of Euclidean spaces. Everything will be set up so as to extend naturally to global differential calculus on smooth manifolds.


Vector Field Open Subset Tangent Vector Open Neighborhood Tangent Bundle 
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© Birkhäuser Boston 2008

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