Frank W. Warner

Foundations of Differentiable Manifolds and Lie Groups (eBook, PDF)

• Format: PDF

Produktbeschreibung

Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also 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.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 276
• Erscheinungstermin: 11. November 2013
• Englisch
• ISBN-13: 9781475717990
• Artikelnr.: 43989088

Inhaltsangabe

1 Manifolds.- 2 Tensors and Differential Forms.- 3 Lie Groups.- 4 Integration on Manifolds.- 5 Sheaves, Cohomology, and the de Rham Theorem.- 6 The Hodge Theorem.- Supplement to the Bibliography.- Index of Notation.