Overview
- It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory
- The analytic approach is likewise new as it is based on the theory of harmonic maps
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (6 chapters)
Keywords
About this book
Reviews
From the reviews:
"Compact Riemann Surfaces: An Introduction to Contemporary Mathematics starts off with a wonderful Preface containing a good deal of history, as well as Jost’s explicit dictum that there are three foci around which the whole subject revolves … . Jost’s presentation is quite accessible, modulo a lot of diligence on the part of the reader. It’s a very good and useful book, very well-written and thorough." (Michael Berg, MathDL, April, 2007)
From the reviews of the third edition:
“Geometrical facts about Riemann surfaces are as ‘nice’ as possible, and they often provide the intuition and motivation for generalizations to other curves, manifolds or varieties. The Riemann–Roch theorem … is a prime example of this influence. This book is amazing, very well written, accessible and works as a first course on Riemannian Surfaces I recommend to the all readers interested in Geometry and Riemannian Geometry.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, July, 2013)
Authors and Affiliations
Bibliographic Information
Book Title: Compact Riemann Surfaces
Book Subtitle: An Introduction to Contemporary Mathematics
Authors: Jürgen Jost
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-540-33067-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Softcover ISBN: 978-3-540-33065-3Published: 19 June 2006
eBook ISBN: 978-3-540-33067-7Published: 13 December 2006
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 3
Number of Pages: XVIII, 282
Number of Illustrations: 23 b/w illustrations
Topics: Differential Geometry