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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
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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
Links to Related Works
Subject References:
Differential Geometry
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Mathematics
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Authors:
Jost, Jürgen 1956-
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Jost, Jürgen, 1956-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
516.36
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