9780521659628

Riemann Surfaces: A Primer

by
  • ISBN13:

    9780521659628

  • ISBN10:

    0521659620

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 3/16/2016
  • Publisher: Cambridge Univ Pr
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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

Complex analysis
Basic topology
Riemann surfaces
Examples
Analytic functions
Existence of analytic funtions
Analytic continuation
Covering spaces
Harmonic functions
Additional topics
Table of Contents provided by Publisher. All Rights Reserved.

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