Compact Riemann Surfaces

Compact Riemann Surfaces

Editorial Reviews
Book 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 Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this 2nd edition the author has further improved aspects of presentation of various parts of the text.

Language Notes
Text: English (translation)
Original Language: German

Compact Riemann Surfaces

Compact Riemann Surfaces,Jürgen Jost,Springer,354043299X,Applied,Geometry - Differential,Mathematics,Riemann surfaces,Riemannian Manifolds,Science/Mathematics,Mathematics / Geometry / Differential,Riemann-Roch Theorem,Teichmüller theory,harmonic maps,hyberbolic geometry,hyperbolic geometry

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