Compact Riemann surfaces : an introduction to contemporary mathematics

Jürgen 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 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.

「Nielsen BookData」より

[目次]

  • 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.

「Nielsen BookData」より

この本の情報

書名 Compact Riemann surfaces : an introduction to contemporary mathematics
著作者等 Jost, Jürgen
Simha R.T.
Jost Jurgen
書名別名 Riemannsche Flächen
シリーズ名 Universitext
出版元 Springer
刊行年月 c2002
版表示 2nd ed
ページ数 xvi, 278 p.
大きさ 24 cm
ISBN 354043299X
NCID BA56942983
※クリックでCiNii Booksを表示
言語 英語
原文言語 ドイツ語
出版国 ドイツ
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想