UID:
almahu_9947363409702882
Format:
XVI, 281 p.
,
online resource.
Edition:
Second Edition.
ISBN:
9783662047453
Series Statement:
Universitext,
Content:
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.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540432999
Language:
English
DOI:
10.1007/978-3-662-04745-3
URL:
http://dx.doi.org/10.1007/978-3-662-04745-3
URL:
Volltext
(lizenzpflichtig)