Differential Geometry and Symmetric Spaces (Pure & Applied Mathematics)

Helgason, Sigurdur

ISBN 10: 0123384508 / ISBN 13: 9780123384508

Published by Academic Press, 1962

About this Item

This books is in Very good condition. There may be a few flaws like shelf wear and some light wear.

Seller Inventory # BCV.0123384508.VG

Bibliographic Details

• Title: Differential Geometry and Symmetric Spaces (Pure & Applied Mathematics)
• Publisher: Academic Press
• Publication Date: 1962
• Language: English
• ISBN 10: 0123384508
• ISBN 13: 9780123384508
• Binding: Hardcover
• Condition: very_good

About this title

Synopsis

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.