Riemann Surfaces and Algebraic Curves: A First Course in Hurwitz Theory

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.Additional ISBNs110714924X, 1316798666, 1316603520, 9781107149243, 9781316798669, 9781316603529Riemann Surfaces and Algebraic Curves: A First Course in Hurwitz Theory is written by Renzo Cavalieri; Eric Miles and published by Cambridge University Press. ISBNs for Riemann Surfaces and Algebraic Curves are 9781316798669, 1316798666 and the print ISBNs are 9781107149243, 110714924X. Additional ISBNs include 110714924X, 1316798666, 1316603520, 9781107149243, 9781316798669, 9781316603529.