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Foundations of Differentiable Manifolds and Lie Groups: Graduate Texts in Mathematics, cartea 94

Autor Frank W. Warner
en Limba Engleză Hardback – 10 oct 1983
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.
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Specificații

ISBN-13: 9780387908946
ISBN-10: 0387908943
Pagini: 276
Ilustrații: X, 276 p.
Dimensiuni: 156 x 234 x 23 mm
Greutate: 0.57 kg
Ediția:1st ed. 1971. 2nd printing 1983
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

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.