Cavalieri, Renzo,  1976- <br/><br/>
Riemann surfaces and algebraic curves :  a first course in Hurwitz theory / 
Renzo Cavalieri, Colorado State University, Eric Miles, Colorado Mesa University. 
 - New York :  Cambridge University Press,  2016. 
 - 1 online resource (xii, 183 pages) :  digital, PDF file(s). 
 - London Mathematical Society student texts ;  87 .
 - London Mathematical Society student texts ;  87. .
<br/><br/> Title from publisher's bibliographic system (viewed on 27 Oct 2016). 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9781316569252 (ebook) 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Riemann surfaces.<br/>Curves, Algebraic.<br/>Geometry, Algebraic.
<br/><br/><label>LC Class. No.: </label>QA333  / .C38 2016 
<br/><br/><label>Dewey Class. No.: </label>515/.93