Introduction to Differentiable Manifolds by Serge Lang.

"This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux's theorem, Frobenius, and all the central features of the foundations of diffe...

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Bibliographic Details
Main Author: Lang, Serge (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2002.
Edition:1st ed. 2002.
Series:Universitext,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Differential Calculus
  • Manifolds
  • Vector Bundles
  • Vector Fields and Differential Equations
  • Operations on Vector Fields and Differential Forms
  • The Theorem of Frobenius
  • Metrics
  • Integration of Differential Forms
  • Stokes’ Theorem
  • Applications of Stokes’ Theorem.