Articoli correlati a COMPACT RIEMMAN SURFACES: An Introduction to Contemporary...

COMPACT RIEMMAN SURFACES: An Introduction to Contemporary Mathematics - Brossura

Libro 22 di 261: Universitext

Jost, Jürgen

 
9783540533344: COMPACT RIEMMAN SURFACES: An Introduction to Contemporary Mathematics

Sinossi

This text explores the connection of Reimann surfaces with other fields of mathematics. It is intended as an introduction to contemporary mathematics and it includes background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry.

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Dalla quarta di copertina

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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