ENGLISH

Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

By Jürgen Jost

Book information

Publisher
Springer
Year
2002
ISBN
9783540432999, 3-540-43299-X
LCC
QA333 .J8513 2002
Open Library ID
OL3557898M
Language
english
Format
DJVU
Filesize
3 MB (3663668 bytes)
Edition
2nd
Pages
295\295
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this 2nd edition the author has further improved aspects of presentation of various parts of the text.

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