Customer Reviews

Geometry and Spectra of Compact Riemann Surfaces (Progress in Mathematics)

5 star:		(2)
4 star:		(0)
3 star:		(0)
2 star:		(0)
1 star:		(0)

 

 

I am no expert in this field, but I do not understand why this great book has not gotten wider exposure. The author gives a wonderful intro to the "geometry of compact Riemann surfaces based on hyperbolic geometry and on cutting and pasting." (Quoting from the preface.)

Perhaps Amazon has not helped his cause by miss-listing the author as J. Buser instead of Peter Buser, and compounding the problem by not returning this book on a search by author for Peter Buser.

All in all, this (fairly) advanced amateur gives Peter Buser's book on Riemann Surfaces five stars.

Just want to reply to the other review. I am an expert and I use this book quite often. I give it to my graduate students as a first source on the hyperbolic geometry of Riemann surfaces, especially Fenchel-Nielsen coordinates, length spectrum etc. It is a very readable introduction.