01888nam a22003375i 4500978-3-662-03446-0cr nn 008mamaa130321s1997 gw : s :::: 0:eng d9783662034460ENGDEQA641-670516.36Online resource: SpringerJost, Jürgen.1956-Compact Riemann Surfaces[EBook]An Introduction to Contemporary Mathematicsby Jürgen Jost.Berlin, HeidelbergSpringer1997.XIV, 295 pagesonline resource.textonline resourceUniversitext,0172-59391. Topological Foundations -- 2. Differential Geometry of Riemann Surfaces -- 3. Harmonic Maps -- 4. Teichmüller Spaces -- 5. Geometric Structures on Riemann Surfaces -- Sources and References -- Index of Notation.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.Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)Mathematics.Differential GeometryMathematics.Differential Geometry.SpringerLink (Online service)Universitext,http://dx.doi.org/10.1007/978-3-662-03446-0