Description: 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.
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EAN: 9781316603529
UPC: 9781316603529
ISBN: 9781316603529
MPN: N/A
Number of Pages: 194 Pages
Language: English
Publication Name: Riemann Surfaces and Algebraic Curves : a First Course in Hurwitz Theory
Publisher: Cambridge University Press
Publication Year: 2016
Subject: Topology, Geometry / Algebraic, Mathematical Analysis
Item Height: 0.5 in
Type: Textbook
Item Weight: 10.6 Oz
Author: Eric Miles, Renzo Cavalieri
Subject Area: Mathematics
Item Length: 9 in
Series: London Mathematical Society Student Texts
Item Width: 6 in
Format: Trade Paperback
