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Riemann surfaces

Author: S K Donaldson
Publisher: Oxford ; New York : Oxford University Press, 2011.
Series: Oxford graduate texts in mathematics, 22.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S K Donaldson
ISBN: 9780198526391 0198526393 9780199606740 0199606749
OCLC Number: 694832814
Description: xiii, 286 pages : illustrations ; 24 cm.
Contents: I Preliminaries --
1. Holomorphic Functions --
2. Surface Topology --
II Basic Theory --
3. Basic Definitions --
4. Maps between Riemann Surfaces --
5. Calculus on Surfaces --
6. Elliptic functions and integrals --
7. Applications of the Euler characteristic --
III Deeper Theory --
8. Meromorphic Functions and the Main Theorem for Compact Riemann Surfaces --
9. Proof of the Main Theorem --
10. The Uniformisation Theorem --
IV Further Developments --
11. Contrasts in Riemann Surface Theory --
12. Divisors, Line Bundles and Jacobians --
13. Moduli and Deformations --
14. Mappings and Moduli --
15. Ordinary Differential Equations --
Bibliography --
Index.
Series Title: Oxford graduate texts in mathematics, 22.
Responsibility: Simon Donaldson.
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"This book may be recommended to readers of all levels, from beginners to specialists." -- Mathematical Reviews "This compact book is a fabulous contribution to the literature on the gorgeous and Read more...

 
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