Download Compact Riemann Surfaces: An Introduction to Contemporary by Jürgen Jost PDF

By Jürgen Jost

This ebook is novel in its extensive viewpoint on Riemann surfaces: the textual content systematically explores the relationship with different fields of arithmetic. The publication can function an advent to modern arithmetic as an entire, because it develops history fabric from algebraic topology, differential geometry, the calculus of adaptations, elliptic PDE, and algebraic geometry. The ebook is exclusive between textbooks on Riemann surfaces in its inclusion of an advent to Teichmüller concept. For this new version, the writer has multiplied and rewritten a number of sections to incorporate extra fabric and to enhance the presentation.

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