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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
Catalogue Information
Field name Details
Dewey Class 516.36
Title Compact Riemann Surfaces ([EBook]) : An Introduction to Contemporary Mathematics / by Jürgen Jost.
Author Jost, Jürgen. , 1956-
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : Springer , 1997.
Physical Details XIV, 295 pages : online resource.
Series Universitext 0172-5939
ISBN 9783662034460
Summary Note 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.:
Contents note 1. Topological Foundations -- 2. Differential Geometry of Riemann Surfaces -- 3. Harmonic Maps -- 4. Teichmüller Spaces -- 5. Geometric Structures on Riemann Surfaces -- Sources and References -- Index of Notation.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-662-03446-0
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Catalogue Information 46389 Beginning of record . Catalogue Information 46389 Top of page .

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