Pure and Applied Mathematics
5 primary works
Book 12
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"".
Book 54
Differential Algebra & Algebraic Groups
by E R Kolchin, Unknown Author, and Gerard Meurant
Published 1 January 1973
Book 80
Differential Geometry, Lie Groups and Symmetric Spaces
by Sigurdur Helgason
Published 1 January 1979
Book 110
Book 113
Groups & Geometric Analysis
by Sigurdur Helgason, Unknown Author, and Gerard Meurant
Published 1 January 1984