Compact Riemann surfaces : an introduction to contemporary mathematics
著者
書誌事項
Compact Riemann surfaces : an introduction to contemporary mathematics
（Universitext）
Springer, c2002
2nd ed
- タイトル別名
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Riemannsche Flächen
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注記
Includes bibliographical references (p. [271]-272) and index
内容説明・目次
内容説明
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 2nd edition the author has further improved aspects of presentation of various parts of the text.
目次
Preface * Topological Foundations * Differential Geometry of Riemann Surfaces * Harmonic Maps * Teichmuller Spaces * Geometric structures on Riemann surfaces * Souces and references * Bibliography * Index of Notation * Index.
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