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

by Frank Wilson Warner

Graduate Texts in Mathematics #94: Foundations of Differentiable Manifolds and Lie Groups Cover

ISBN13: 9780387908946
ISBN10: 0387908943
Condition: Standard
Dustjacket: Standard
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Synopses & Reviews

Publisher Comments:

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.

Table of Contents

1: Manifolds. 2: Tensor and Differential Forms. 3: Lie Groups. 4: Integration on Manifolds. 5: Sheaves, Cohomology, and the De Rahm Theorem. 6: The Hodge Theorem.

What Our Readers Are Saying

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Average customer rating based on 2 comments:

ndung200790, July 2, 2008 (view all comments by ndung200790)
It very good for physicsist
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(1 of 2 readers found this comment helpful)
Pandey P. K., May 29, 2007 (view all comments by Pandey P. K.)
Really the book is very nice because it deals with preliminaries on differentiable manifolds and on Lie groups, as well simultaneously provides a foundation to those scholars, who want to pursue higher research.
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Product Details

ISBN:
9780387908946
Author:
Warner, F. W.
Author:
Warner, Frank W.
Author:
Warner, F. W.
Publisher:
Springer
Location:
New York :
Subject:
Geometry - General
Subject:
Algebra - Linear
Subject:
Group Theory
Subject:
Lie groups
Subject:
Differentiable manifolds
Subject:
Groups.
Subject:
Manifolds
Subject:
L.I.E.
Subject:
Differenzierbare Mannigfaltigkeit
Subject:
Liesche Gruppe
Subject:
Manifolds and Cell Complexes (incl. Diff.Topology)
Subject:
Topology
Subject:
Topological Groups, Lie Groups
Subject:
Mathematics-Linear Algebra
Copyright:
Edition Number:
1
Edition Description:
1st ed. 1971. 2nd printing
Series:
Graduate texts in mathematics ;
Series Volume:
94
Publication Date:
October 1983
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
292
Dimensions:
235 x 155 mm 1300 gr

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Related Subjects

Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Algebra » Lie Groups and Algebra
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Group Theory

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