Fundamentals of differential geometry

  title={Fundamentals of differential geometry},
  author={Serge Lang},
  • S. Lang
  • Published 30 December 1998
  • Mathematics
This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for differential equations and the flow of a vector field; the basic theory of vector bundles including the existence of tubular neighborhoods for a submanifold; the calculus of differential forms; basic notions of symplectic manifolds, including… 


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