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Riemann Surfaces: A Primer

by
Edition:
2nd
ISBN13:

9780521650427

ISBN10:
0521650429
Format:
Hardcover
Pub. Date:
12/7/2015
Publisher(s):
Cambridge Univ Pr
List Price: $59.95

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Questions About This Book?

What version or edition is this?
This is the 2nd edition with a publication date of 12/7/2015.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

Summary

This textbook, aimed at advanced undergraduate or beginning graduate students in mathematics, introduces both the theory of Riemann surfaces, and of analytic functions between Riemann surfaces. The first half of the book describes the basic theory, the second half develops the theory of harmonic and subharmonic functions on a Riemann surface, and culminates with a detailed proof of the famous Uniformisation Theorem and some of its applications to Riemann surface theory. The book is a major revision of the author's earlier 'Primer', with new chapters and more exercises and examples.

Table of Contents

1. Complex analysis
2. Basic topology
3. Riemann surfaces
4. Examples
5. Analytic functions
6. Existence of analytic funtions
7. Analytic continuation
8. Covering spaces
9. Harmonic functions
10. Additional topics.


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