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Compact Riemann Surfaces : An Introduction to Contemporary Mathematics, PDF eBook

Compact Riemann Surfaces : An Introduction to Contemporary Mathematics PDF

Part of the Universitext series

PDF

Please note: eBooks can only be purchased with a UK issued credit card and all our eBooks (ePub and PDF) are DRM protected.

Description

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.

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