TY  - BOOK
AU  - Jost, Jürgen
AU  - Jost, Jürgen
TI  - Compact Riemann Surfaces : :an introduction to contemporary mathematics
T2  - Universitext
SN  - 9783540330653
U1  - 515.93 JOS 
PY  - 2006///
CY  - New York
PB  -  : Springer
KW  - Mathematics
KW  - Analysis
KW  - Riemann surfaces
KW  - Surfaces de Riemann
N1  - 1. Topological foundations --
2. Differential geometry of Riemann surfaces --
3. Harmonic maps --
4. Teichmuller spaces --
5. Geometric structures on Riemann surfaces
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 Teichmuller 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."--Jacket
ER  -