コンパクト・リーマン面(第2版)<br>Compact Riemann Surfaces : An Introduction to Contemporary Mathematics (Universitext) (2nd ed. 2002. XVI, 278 p. 23,5 cm)

コンパクト・リーマン面(第2版)
Compact Riemann Surfaces : An Introduction to Contemporary Mathematics (Universitext) (2nd ed. 2002. XVI, 278 p. 23,5 cm)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 425 p.
  • 商品コード 9783540432999

基本説明

Translated by R. T. Simha. Unique among textbooks on Riemann surfaces in including an introduction to Teichmuller theory.

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

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.