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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:   Book : EnglishView all editions and formats
Database:WorldCat
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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 p. : ill. ; 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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