Foundations of Differentiable Manifolds and Lie Groups

(Autor)

Buch | Hardcover
276 Seiten
1983 | 1st ed. 1971. 2nd printing 1983
Springer-Verlag New York Inc.
978-0-387-90894-6 (ISBN)

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Foundations of Differentiable Manifolds and Lie Groups - Frank W. Warner
58,80 inkl. MwSt
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.

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.

Reihe/Serie Graduate Texts in Mathematics ; 94
Zusatzinfo X, 276 p.
Verlagsort New York, NY
Sprache englisch
Maße 156 x 234 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-387-90894-3 / 0387908943
ISBN-13 978-0-387-90894-6 / 9780387908946
Zustand Neuware
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