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 Teichmuller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. 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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语言 英语 ● 格式 PDF ● ISBN 9783662047453 ● 出版者 Springer Berlin Heidelberg ● 发布时间 2013 ● 下载 3 时 ● 货币 EUR ● ID 6385133 ● 复制保护 Adobe DRM
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