Download e-book for kindle: Riemann Surfaces and Algebraic Curves: A First Course in by Renzo Cavalieri,Eric Miles

By Renzo Cavalieri,Eric Miles

ISBN-10: 110714924X

ISBN-13: 9781107149243

ISBN-10: 1316603520

ISBN-13: 9781316603529

Hurwitz idea, the learn of analytic services between Riemann surfaces, is a classical box and lively examine region in algebraic geometry. The subject's interaction among algebra, geometry, topology and research is a gorgeous instance of the interconnectedness of arithmetic. This ebook introduces scholars to this more and more very important box, protecting key themes equivalent to manifolds, monodromy representations and the Hurwitz power. Designed for undergraduate research, this classroom-tested textual content contains over a hundred routines to supply motivation for the reader. additionally integrated are brief essays through visitor writers on how they use Hurwitz conception of their paintings, which levels from string idea to non-Archimedean geometry. even if utilized in a direction or as a self-contained reference for graduate scholars, this ebook will offer an exhilarating glimpse at arithmetic past the traditional collage classes.

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Riemann Surfaces and Algebraic Curves: A First Course in Hurwitz Theory (London Mathematical Society Student Texts) by Renzo Cavalieri,Eric Miles

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