Jost Compact Riemann Surfaces
Erscheinungsjahr 2013
ISBN: 978-3-662-03446-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
An Introduction to Contemporary Mathematics
E-Book, Englisch, 295 Seiten, Web PDF
Reihe: Universitext
ISBN: 978-3-662-03446-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective: the text systematically explores the connection with other fields of mathematics. The book 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. Compact Riemann Surfaces is unique among textbooks on Riemann surfaces in its inclusion of 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.
Zielgruppe
Graduate
Weitere Infos & Material
1. Topological Foundations.- 2. Differential Geometry of Riemann Surfaces.- 3. Harmonic Maps.- 4. Teichmüller Spaces.- 5. Geometric Structures on Riemann Surfaces.- Sources and References.- Index of Notation.