A great book ... a necessary item in any mathematical library"" -S. S. Chern, University of California ""A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics."" -Barrett O'Neill, University of California ""This is obviously a very valuable and well thought-out book on an important subject"" -Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems ...
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A great book ... a necessary item in any mathematical library"" -S. S. Chern, University of California ""A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics."" -Barrett O'Neill, University of California ""This is obviously a very valuable and well thought-out book on an important subject"" -Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been-and continues to be-the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.
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Add this copy of Differential Geometry, Lie Groups, and Symmetric Spaces to cart. $172.83, new condition, Sold by Just one more Chapter, ships from Miramar, FL, UNITED STATES, published 2001 by Amer Mathematical Society.
Add this copy of Differential Geometry, Lie Groups, and Symmetric Spaces to cart. $182.82, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2001 by Amer Mathematical Society.
Add this copy of Differential Geometry, Lie Groups and Symmetric Spaces to cart. $192.26, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2001 by American Mathematical Society.
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New. 2001. New ed. Hardcover. Presents an introduction to differential geometry. This book then introduces Lie groups and Lie algebras. It concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbf{C}$ and Cartan's classification of simple Lie algebras over $\mathbf{R}$. Series: Graduate Studies in Mathematics. Num Pages: 641 pages, Illustrations. BIC Classification: PBG; PBKD; PBMP; PBPD. Category: (P) Professional & Vocational. Dimension: 260 x 186 x 39. Weight in Grams: 1314......We ship daily from our Bookshop.
Add this copy of Differential Geometry, Lie Groups and Symmetric Spaces to cart. $205.80, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2001 by American Mathematical Society.
