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AuthorJost, Jรผrgen. author
TitleCompact Riemann Surfaces [electronic resource] : An Introduction to Contemporary Mathematics / by Jรผrgen Jost
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002
Edition Second Edition
Connect tohttp://dx.doi.org/10.1007/978-3-662-04745-3
Descript XVI, 281 p. online resource

SUMMARY

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 Teichmรผller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation


CONTENT

1. Topological Foundations -- 2. Differential Geometry of Riemann Surfaces -- 3. Harmonic Maps -- 4. Teichmรผller Spaces -- 5. Geometric Structures on Riemann Surfaces -- Sources and References -- Index of Notation


Mathematics Differential geometry Mathematics Differential Geometry



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