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Title: Compact Riemann Surfaces ([EBook]) : An Introduction to Contemporary Mathematics/ by Jürgen Jost. Dewey Class: 516.36 Author: Jost, Jürgen., 1956- Publication: Berlin, Heidelberg : Springer, 1997. Other name(s): SpringerLink (Online service) Physical Details: XIV, 295 pages : online resource. Series: Universitext,0172-5939 ISBN: 9783662034460 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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