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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

✍ Scribed by Jürgen Jost

Book ID
127446255
Publisher
Springer
Year
2006
Tongue
English
Weight
2 MB
Series
Universitext
Edition
3rd
Category
Library
ISBN
3540330658

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 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.

✦ Subjects

Дифференциальная геометрия и топология

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