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Complex Algebraic Curves

Frances Kirwan J. Bruce



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Cambridge University Press
20 April 1992
This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise 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 in 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.
By:   Frances Kirwan
Series edited by:   J. Bruce
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   No.23
Dimensions:   Height: 229mm,  Width: 153mm,  Spine: 18mm
Weight:   440g
ISBN:   9780521423533
ISBN 10:   0521423538
Series:   London Mathematical Society Student Texts
Pages:   276
Publication Date:   20 April 1992
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
1. Introduction and background; 2. Foundations; 3. Algebraic properties; 4. Topological properties; 5. Riemann surfaces; 6. Differentials on Riemann surfaces; 7. Singular curves; Appendices.

Reviews for Complex Algebraic Curves

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 Books

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