Download E-books Compact Riemann Surfaces PDF

By Jürgen Jost

Even though Riemann surfaces are a time-honoured box, this booklet is novel in its wide point of view that systematically explores the relationship with different fields of arithmetic. it may well function an advent to modern arithmetic as an entire because it develops heritage fabric from algebraic topology, differential geometry, the calculus of diversifications, elliptic PDE, and algebraic geometry. it's distinct between textbooks on Riemann surfaces in together with an advent to Teichmüller concept. The analytic process is also new because it relies at the conception of harmonic maps. For this 2d version the writer has extra superior points of presentation of assorted elements of the textual content.

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