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Compact Riemann Surfaces: An Introduction to Contemporary Mathematics
Tag Description
099$aOnline resource: Springer
100$aJost, Jürgen.$d1956-
245$aCompact Riemann Surfaces$h[EBook]$bAn Introduction to Contemporary Mathematics$cby Jürgen Jost.
260$aBerlin, Heidelberg$bSpringer$c1997.
300$aXIV, 295 pages$bonline resource.
338$aonline resource
505$a1. 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.
520$aAlthough Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory. The analytic approach is likewise new as it is based on the theory of harmonic maps.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710$aSpringerLink (Online service)
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