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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, 1984Review:
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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Book Description Academic Press. Hardcover. Condition: New. 0123384605 New Condition. Seller Inventory # NEW99.3031726