Compact Riemann Surfaces : An Introduction To Contemporary Mathematics - Couverture souple

Jost, Jürgen

 
9783540432999: Compact Riemann Surfaces : An Introduction To Contemporary Mathematics

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Unique among textbooks on Riemann surfaces, this book includes an introduction to Teichmüller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.