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Anyone familiar with the author's hands-on approach to Riemann surfaces will be gratified by both the breadth and the depth of the topics considered here. The exposition is also extremely clear and thorough. Anyone not familiar with the author's approach is in for a real treat. Mathematical ReviewsThis is a thick and leisurely book which will repay repeated study with many pleasant hours both for the beginner and the expert. It is fortunately more or less self-contained, which makes it easy to read, and it leads one from essential mathematics to the state of the art in the theory of the Laplace Beltrami operator on compact Riemann surfaces. Although it is not encyclopedic, it is so rich in information and ideas the reader will be grateful for what has been included in this very satisfying book. Bulletin of the AMS The book is very well written and quite accessible; there is an excellent bibliography at the end. Zentralblatt MATH