The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis

A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and coveri

Differential Geometry and Symmetric Spaces

It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more