ENGLISH

Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

By Jürgen Jost

Book information

Publisher
Springer
Year
2006
ISBN
9783540330653, 3-540-33065-8
Open Library ID
OL22737476M
Language
english
Format
PDF
Filesize
2 MB (2467146 bytes)
Series
Universitext
Edition
3rd
Pages
292\292
Library
mexmat
Time added
2009-07-20 03:45:11
Математика;Топология;Дифференциальная геометрия и

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 Teichmuller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

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