Review
Remarkably well written ... might be used as a textbook for how to write mathematics. -- Bulletin of the AMS
Remarkably well written ... might be used as a textbook for how to write mathematics. --Bulletin of the AMS
Product Description
Sigurdur Helgason's Differential Geometry and Symmetric Spaces was quickly recognized as a remarkable and important book. For many years, it was the standard text both for Riemannian geometry and for the analysis and geometry of symmetric spaces. Several generations of mathematicians relied on it for its clarity and careful attention to detail. Although much has happened in the field since the publication of this book, as demonstrated by Helgason's own three-volume expansion of the original work, this single volume is still an excellent overview of the subjects. For instance, even though there are now many competing texts, the chapters on differential geometry and Lie groups continue to be among the best treatments of the subjects available. There is also a well-developed treatment of Cartan's classification and structure theory of symmetric spaces. The last chapter, on functions on symmetric spaces, remains an excellent introduction to the study of spherical functions, the theory of invariant differential operators, and other topics in harmonic analysis. This text is rightly called a classic. Sigurdur Helgason was awarded the Steele Prize for Groups and Geometric Analysis and the companion volume, Differential Geometry, Lie Groups and Symmetric Spaces.
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
100
books
cite this book:
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- Foundations of Lie Theory and Lie Transformation Groups by V.V. Gorbatsevich on page 93, and Back Matter
- A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry by Peter Szekeres on page 177, and page 585
- Lie Groups and Lie Algebras I: Foundations of Lie Theory. Lie Transformation Groups (Encyclopaedia of Mathematical Sciences) (v. 1) by A.L. Onishchik on page 93, and Back Matter
- Analysis and Geometry on Complex Homogeneous Domains (Progress in Mathematics) by Jacques Faraut on page 100, and page 423
- Symmetries of Nature: A Handbook for Philosophy of Nature and Science by Klaus Mainzer on page 210, and Back Matter
See all 100 books citing this book
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