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＜E-Book＞
Compact Riemann Surfaces : An Introduction to Contemporary Mathematics / by Jürgen Jost
(Universitext. ISSN:21916675)

Edition	2nd ed. 2002.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2002
Size	XVI, 281 p : online resource
Authors	*Jost, Jürgen author SpringerLink (Online service)
Subjects	LCSH:Geometry, Differential FREE:Differential Geometry
Notes	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 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. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation HTTP:URL=https://doi.org/10.1007/978-3-662-04745-3

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