Compact Riemann Surfaces: An Introduction to Contemporary Mathematics (Universitext) - Softcover

Buch 38 von 261: Universitext

Jost, Jürgen

 
9783540533344: Compact Riemann Surfaces: An Introduction to Contemporary Mathematics (Universitext)

Inhaltsangabe

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.

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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.

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9783540330653: Compact Riemann Surfaces: An Introduction to Contemporary Mathematics (Universitext)

Vorgestellte Ausgabe

ISBN 10:  3540330658 ISBN 13:  9783540330653
Verlag: Springer, 2006
Softcover