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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
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Kataloginformation
Feldname
Details
Dewey Class
516.36
Titel
Compact Riemann Surfaces ([EBook]) : An Introduction to Contemporary Mathematics / by Jürgen Jost.
Verfasser
Jost, Jürgen , 1956-
Other name(s)
SpringerLink (Online service)
Veröffentl
Berlin, Heidelberg : Springer , 1997.
Physical Details
XIV, 295 pages : online resource.
Reihe
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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Schlagwörter:
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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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