Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

by Jürgen Jost

This book is novel in its broad perspective on Riemann the text systematically explores the connection with other fields of mathematics. The book can serve as an introduction to contemporary mathematics as a whole, as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. The book is unique among textbooks on Riemann surfaces in its inclusion of an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Genres: Mathematics, Geometry

300 pages, Paperback

First published January 28, 1997

About the author

Jürgen Jost is a German mathematician. He has been a director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 1996.