Overview

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 2nd edition the author has further improved aspects of presentation of various parts of the text.

Full Product Details

Author:   Jurgen Jost ,  R.T. Simha
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2nd Revised edition
Dimensions:   Width: 16.30cm , Height: 1.80cm , Length: 23.00cm
Weight:   0.476kg
ISBN:  

9783540432999

ISBN 10:   354043299
Pages:   294
Publication Date:   May 2002
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preface * Topological Foundations * Differential Geometry of Riemann Surfaces * Harmonic Maps * Teichmuller Spaces * Geometric structures on Riemann surfaces * Souces and references * Bibliography * Index of Notation * Index.

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