Some of the best in mathematical physics!, August 5, 2002

Reviewer: Palle E T Jorgensen (see more about me) from Iowa City, Iowa United States

Spectral theory for the heat equation represents one of the more exciting points of interaction between math and physics: It also serves as a deep link, via spectral theory, between geometry(math), and quantum gravity(physics). While the subject has roots far back, this lovely book presents some of the more exciting developments in the past decade. One of the success stories in interdisciplinary theoretical science! It is well written, and will be a great source for grad students. This very nice book further points toward the research trends of the future. Moreover, the results presented in the book are timeless. The book will be of value also ten years from now. Being an acknowledged authority in the subject, this author is in a unique position to write a book on the central themes and theories in the subject.