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Foundations of Differentiable Manifolds and Lie Groups

Medium: Buch
ISBN: 978-1-4419-2820-7
Verlag: Springer
Erscheinungstermin: 01.12.2010
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9781441928207
  • Medium: Buch
  • ISBN: 978-1-4419-2820-7
  • Verlag: Springer
  • Erscheinungstermin: 01.12.2010
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 1971. 2. printing. Softcover version of original hardcover Auflage 1983
  • Serie: Graduate Texts in Mathematics
  • Produktform: Kartoniert, Previously published in hardcover
  • Gewicht: 441 g
  • Seiten: 276
  • Format (B x H x T): 155 x 235 x 16 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.