Compact Riemann Surfaces

An Introduction to Contemporary Mathematics

von Jürgen Jost

282 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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 Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.

• Reihe: Universitext
• ISBN: 9783540330653
• Sprache: Englisch
• Erscheinungsdatum: 19.06.2006
• Genre: Mathematik/Geometrie
• Verlag: Springer Berlin