Differential Geometry, Lie Groups, and Symmetric Spaces (Graduate Studies in Mathematics)
"This book has been famous for many years and used by several generations of readers. It is important that the book has again become available for a general audience." -- European Mathematical Society Newsletter"One of the most important and excellent textbooks and a reference work about contemporary differential geometry ..." -- Zentralblatt MATH"Important improvements in the new edition of S. Helgason's book will turn it into a desk book for many following generations." -- Mathematica Bohemica"A great book ... a necessary item in any mathematical library." -- S. S. Chern, University of California"Written with unmatched lucidity, systematically, carefully, beautifully." -- S. Bochner, Princeton University"Helgason's monograph is a beautifully done piece of work and should be extremely useful for several years to come, both in teaching and in research." -- D. Spencer, Princeton University"A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics." -- Barrett O'Neill, University of California"Renders a great service in permitting the non-specialist, with a minimum knowledge of differential geometry and Lie groups, an initiation to the theory of symmetrical spaces." -- H. Cartan, Secretariat Mathématique, Paris"The mathematical community has long been in need of a book on symmetric spaces. S. Helgason has admirably satisfied this need with his book, Differential Geometry and Symmetric Spaces. It is a remarkably well-written book ... a masterpiece of concise, lucid mathematical exposition ... it might be used as a textbook for "how to write mathematics"." -- Louis Auslander"[The author] will earn the gratitude of many generations of mathematicians for this skillful, tasteful, and highly efficient presentation. It will surely become a classic." -- G. D. Mostow, Yale University