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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics, 3rd Edition

Posted on 2010-04-12




Name:Compact Riemann Surfaces: An Introduction to Contemporary Mathematics, 3rd Edition
ASIN/ISBN:3540330658
Language:English
File size:1.9 Mb
Publish Date: 2006-08-18
ISBN: 3540330658
Pages: 282 pages
File Type: PDF
File Size: 1,9 MB
Other Info: Springer
   Compact Riemann Surfaces: An Introduction to Contemporary Mathematics, 3rd Edition

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J¨¹rgen Jost, ""

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 Teichm¨¹ller 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.

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