Compact Riemann surfaces : an introduction to contemporary mathematics / Jürgen Jost.

Format:

Book

Author/Creator:

Jost, Jürgen, 1956-

Series:

Universitext

Standardized Title:

Riemannsche Flächen. English

Language:

English

German

Subjects (All):

Riemann surfaces.

Physical Description:

xvi, 278 pages : illustrations ; 24 cm.

Edition:

Second edition.

Place of Publication:

Berlin ; New York : Springer, [2002]

Summary:

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]ller 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.

Notes:

Includes bibliographical references (pages [271]-272) and indexes.

ISBN:

354043299X

OCLC:

49283901