TY - BOOK AU - Cavalieri,Renzo AU - Miles,Eric TI - Riemann surfaces and algebraic curves: a first course in Hurwitz theory T2 - London Mathematical Society student texts SN - 9781316569252 (ebook) AV - QA333 .C38 2016 U1 - 515/.93 23 PY - 2016/// CY - New York PB - Cambridge University Press KW - Riemann surfaces KW - Curves, Algebraic KW - Geometry, Algebraic N1 - Title from publisher's bibliographic system (viewed on 27 Oct 2016) N2 - Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subject's interplay between algebra, geometry, topology and analysis is a beautiful example of the interconnectedness of mathematics. This book introduces students to this increasingly important field, covering key topics such as manifolds, monodromy representations and the Hurwitz potential. Designed for undergraduate study, this classroom-tested text includes over 100 exercises to provide motivation for the reader. Also included are short essays by guest writers on how they use Hurwitz theory in their work, which ranges from string theory to non-Archimedean geometry. Whether used in a course or as a self-contained reference for graduate students, this book will provide an exciting glimpse at mathematics beyond the standard university classes UR - https://doi.org/10.1017/CBO9781316569252 ER -