Compact Riemann Surfaces

An Introduction to Contemporary Mathematics
Third Auflage 2006
ISBN: 978-3-540-33065-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 282 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 464 g

Reihe: Universitext

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

Research

Autoren/Hrsg.

Jost, Jürgen

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

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.