Complex Algebraic Curves
1st Edition
Published on 11. July 2013
978-1-107-10839-4 (ISBN)
Description
Complex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves.
Reviews / Votes
"Kirwan should succeed admirably with her goal of showing senior undergraduates who perhaps do not plan to study mathematics beyond the bachelor's degree 'how the basic ideas of pure mathematics they had studied in previous years could be brought together in one of the showpieces of mathematics.'" Choice "...worth serious consideration for those planning to teach such a course, and perhaps even more importantly, as an inspiration for mathematicians to offer such a course. The book offers us plenty to work with, and is an excellent contribution." S. Zdravkovska and Daniel M. Burns, Jr., Mathematical Reviews "At last an introduction to the theory of algebraic curves that is understandable by undergraduates, and that does not shy away from the various aspects of the theory: algebraic, topological, complex analytic, etc. Good bedside reading." Gian-Carlo Rota, The Bulletin of Mathematical BooksMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
File size
9993,98 MB
ISBN-13
978-1-107-10839-4 (9781107108394)
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Schweitzer Classification
Other editions
Additional editions
Frances Kirwan
Complex Algebraic Curves
Book
02/1992
Cambridge University Press
€49.60
Article exhausted; check for reprint
Frances Kirwan
Complex Algebraic Curves
Book
02/1992
Cambridge University Press
€79.30
Shipment within 15-20 days
Content
1. Introduction and background; 2. Foundations; 3. Algebraic properties; 4. Topological properties; 5. Riemann surfaces; 6. Differentials on Riemann surfaces; 7. Singular curves; Appendices.
