Compact Riemann surfaces : an introduction to contemporary mathematics
Author(s)
Bibliographic Information
Compact Riemann surfaces : an introduction to contemporary mathematics
（Universitext）
Springer, c2006
3rd ed
- Other Title
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Riemannsche Flächen
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Note
Includes bibliography (p. [269]-270), index of notation, and index
Description and Table of Contents
Description
This book is novel in its broad perspective on Riemann surfaces: the text systematically explores the connection with other fields of mathematics. The book 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. The book is unique among textbooks on Riemann surfaces in its inclusion of an introduction to Teichmuller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.
Table of Contents
Topological Foundations.- Differential Geometry of Riemann Surfaces.- Harmonic Maps.- Teichmuller Spaces.- Geometric Structures on Riemann Surfaces.- Erratum to: Characterizing Programming Systems Allowing Program Self-reference.
by "Nielsen BookData"