## Download E-books Riemann Surfaces and Algebraic Curves: A First Course in Hurwitz Theory (London Mathematical Society Student Texts) PDF

Hurwitz concept, the learn of analytic services between Riemann surfaces, is a classical box and energetic learn quarter in algebraic geometry. The subject's interaction among algebra, geometry, topology and research is a gorgeous instance of the interconnectedness of arithmetic. This booklet introduces scholars to this more and more very important box, masking key issues equivalent to manifolds, monodromy representations and the Hurwitz capability. Designed for undergraduate research, this classroom-tested textual content comprises over a hundred routines to supply motivation for the reader. additionally integrated are brief essays via visitor writers on how they use Hurwitz concept 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 a thrilling glimpse at arithmetic past the traditional college periods.