TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Compact Riemann Surfaces: An Introduction to Contemporary Mathematics 
T2  - Universitext
SN  - 9783540330677
AV  - QA641-670 
U1  - 516.36 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global differential geometry
KW  - Differential Geometry
N1  - Topological Foundations -- Differential Geometry of Riemann Surfaces -- Harmonic Maps -- Teichmȭller Spaces -- Geometric Structures on Riemann Surfaces -- Erratum to: Characterizing Programming Systems Allowing Program Self-reference; ZDB-2-SMA
N2  - 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 Teichmȭller theory. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation
UR  - http://dx.doi.org/10.1007/978-3-540-33067-7
ER  -