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 ... Read morenew edition of S. Helgason's book will turn it into a desk book for many following generations." - Mathematica Bohemica From reviews for the First Edition: "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 Show Less