ENGLISH

Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

By Jürgen Jost (auth.)

Book information

Publisher
Springer Berlin Heidelberg
Year
1997
ISBN
978-3-540-53334-4, 978-3-662-03446-0
DOI
10.1007/978-3-662-03446-0
Language
english
Format
PDF
Filesize
8 MB (7871801 bytes)
Series
Universitext
Pages
XIV, 295 p.\304
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Differential Geometry

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 Teichm?ller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps.

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