Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80 (Pure and Applied Mathematics)

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9780123384607: Differential Geometry, Lie Groups, and Symmetric Spaces, Volume 80 (Pure and Applied Mathematics)
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The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.

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The author was awarded "The Steele Prize" of the American Mathematical Society 1988 for this book, together with an accompanying volume, "Groups and Geometric Analysis" Academic Press, 1984

Review:

A great book. A necessary item in any mathematical library. -- S.S. Chern, Scripta Mathematica, 1963

An instant classic. -- A. Koranyi, American Scientist, 1985

Impressive skill and force in developing the needed background in manifold theory and algebra, giving crisp and accessible proofs of the major results--required reading for anyone interested in Lie group theory, pure or applied. -- R. Hermann, SIAM Review

The exposition is brilliant - might be used as a text for 'how to write mathematics'. -- L. Auslander, Bulletin of the American Mathematical Society, 1964

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9780821828489: Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics)

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ISBN 10:  0821828487 ISBN 13:  9780821828489
Publisher: American Mathematical Society, 2001
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