Differential Geometry, Lie Groups, and Symmetric Spaces

The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on &quote;Groups and Geometric Analysis&quote; it supersedes my &quote;Differential Geometry and Symmetric Spaces,&quote; published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.