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|a 9783662047453
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|a Jost, Jürgen
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|a Compact Riemann Surfaces
|h Elektronische Ressource
|b An Introduction to Contemporary Mathematics
|c by Jürgen Jost
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| 250 |
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|a 2nd ed. 2002
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2002, 2002
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| 300 |
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|a XVI, 281 p
|b online resource
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|a 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
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| 653 |
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|a Differential geometry
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| 653 |
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|a Differential Geometry
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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|a Universitext
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| 856 |
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|u https://doi.org/10.1007/978-3-662-04745-3?nosfx=y
|x Verlag
|3 Volltext
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|a 516.36
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| 520 |
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|a 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
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