The Local Theory of Smooth Functions

  • Lawrence Conlon
Part of the Birkhäuser Advanced Texts book series (BAT)


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 Space Tangent Vector Open Neighborhood 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Lawrence Conlon
    • 1
  1. 1.Department of MathematicsWashington UniversitySt. LouisUSA

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