Compact Riemann Surfaces

An Introduction to Contemporary Mathematics

  • Jürgen Jost

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Jürgen Jost
    Pages 1-17
  3. Jürgen Jost
    Pages 81-160
  4. Jürgen Jost
    Pages 161-187
  5. Jürgen Jost
    Pages 189-267
  6. Back Matter
    Pages 269-281

About this book


Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It 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. It is unique among textbooks on Riemann surfaces in including 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.


Meromorphic function Riemann surfaces Riemann-Roch Theorem Schwarz lemma Teichmüller theory diffeomorphism differential geometry harmonic maps hyberbolic geometry hyperbolic geometry manifold

Authors and affiliations

  • Jürgen Jost
    • 1
  1. 1.Max Planck Institute for Mathematics in the SciencesLeipzigGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-43299-9
  • Online ISBN 978-3-662-04745-3
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site