Compact Riemann Surfaces
An Introduction to Contemporary Mathematics
Jost, Jürgen.
creator
author.
SpringerLink (Online service)
text
gw
2006
Third Edition.
monographic
eng
access
XVIII, 282 p. 23 illus. online resource.
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. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.
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.
by Jürgen Jost.
Mathematics
Differential geometry
Mathematics
Differential Geometry
QA641-670
516.36
Springer eBooks
Universitext
9783540330677
http://dx.doi.org/10.1007/978-3-540-33067-7
http://dx.doi.org/10.1007/978-3-540-33067-7
100627
20180115171652.0
978-3-540-33067-7