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Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics)
 
 
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Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics) (Hardcover)

by Frank W. Warner (Author) "After establishing some notational conventions which will be used throughout the book, we will begin with the notion of a differentiable manifold..." (more)
Key Phrases: presheaf homomorphism, unique manifold structure, connected integral manifold, Theorem Let, Proposition Let, Definitions Let (more...)
2.8 out of 5 stars  (5 customer reviews)

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Product Description
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this beginning graduate-level text extremely useful.

Product Details
  • Hardcover: 292 pages
  • Publisher: Springer (October 10, 1983)
  • Language: English
  • ISBN-10: 0387908943
  • ISBN-13: 978-0387908946
  • Product Dimensions: 9.3 x 6.2 x 0.8 inches
  • Shipping Weight: 1.6 pounds (View shipping rates and policies)
  • Average Customer Review: