Undergraduate Texts in Mathematics

Complex Analysis

Authors: GAMELIN, THEODORE

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eBook $44.99
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  • ISBN 978-0-387-21607-2
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $79.95
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  • ISBN 978-0-387-95093-8
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Softcover $59.95
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  • ISBN 978-0-387-95069-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain.

About the authors

Table of contents (16 chapters)

  • The Complex Plane and Elementary Functions

    Gamelin, Theodore W.

    Pages 1-32

  • Analytic Functions

    Gamelin, Theodore W.

    Pages 33-69

  • Line Integrals and Harmonic Functions

    Gamelin, Theodore W.

    Pages 70-101

  • Complex Integration and Analyticity

    Gamelin, Theodore W.

    Pages 102-129

  • Power Series

    Gamelin, Theodore W.

    Pages 130-164

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-0-387-21607-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-0-387-95093-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.95
price for USA
  • ISBN 978-0-387-95069-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Complex Analysis
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2001
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-387-21607-2
DOI
10.1007/978-0-387-21607-2
Hardcover ISBN
978-0-387-95093-8
Softcover ISBN
978-0-387-95069-3
Series ISSN
0172-6056
Edition Number
1
Number of Pages
XVIII, 480
Topics