E-Book, Englisch, 300 Seiten, eBook
Reihe: Universitext
Jost Compact Riemann Surfaces
Third Auflage 2006
ISBN: 978-3-540-33067-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
An Introduction to Contemporary Mathematics
E-Book, Englisch, 300 Seiten, eBook
Reihe: Universitext
ISBN: 978-3-540-33067-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
Topological Foundations.- Differential Geometry of Riemann Surfaces.- Harmonic Maps.- Teichmüller Spaces.- Geometric Structures on Riemann Surfaces.- Erratum to: Characterizing Programming Systems Allowing Program Self-reference.
