01978nam a22003495i 4500978-3-662-04745-3cr nn 008mamaa130107s2002 gw : s :::: 0:eng d9783662047453ENGDEQA641-670516.36Online resource: SpringerJost, Jürgen.1956-Compact Riemann Surfaces[EBook]An Introduction to Contemporary Mathematicsby Jürgen Jost.Second Edition.Berlin, HeidelbergSpringer2002.XVI, 281 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. For this new edition, the author has expanded and rewritten several sections to include additional material and to improve the presentation.Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)Riemann surfaces.Differential GeometryFunctionsDifferential Geometry.SpringerLink (Online service)Universitext,http://dx.doi.org/10.1007/978-3-662-04745-3