Riemann Surfaces and Algebraic Curves
A First Course in Hurwitz Theory
By Renzo Cavalieri,Eric Miles | Publisher: Cambridge University Press
About the book
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.
Editions of Riemann Surfaces and Algebraic Curves
- Hardcover
- ISBN 9781107149243
- Paperback
- ISBN 9781316603529
Read an Excerpt
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.
Frequently Asked Questions
What is Riemann Surfaces and Algebraic Curves about?
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.
What core themes, tropes, or subjects are explored in Riemann Surfaces and Algebraic Curves?
Mathematics and Science > Mathematics > Geometry
Where can I read a sample of Riemann Surfaces and Algebraic Curves?
You can read an official preview of the few pages here https://www.book2look.com/book/9781107149243
Who is/are the Author/s of the book Riemann Surfaces and Algebraic Curves?
Renzo Cavalieri,Eric Miles
What are the ISBN numbers for the physical and digital editions?
Riemann Surfaces and Algebraic Curves is available as hardcover(ISBN 9781107149243) and paperback(ISBN 9781316603529)