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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

✍ Scribed by Jürgen Jost

Book ID
127448401
Publisher
Springer
Year
2002
Tongue
English
Weight
3 MB
Edition
2nd
Category
Library
ISBN
354043299X

No coin nor oath required. For personal study only.

✦ Synopsis

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. 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.

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