Overview
- The solution of the cubic equation and Newton's method for approximating the zeroes of any polynomial
- Expanded treatments of the Schwarz reflection principle and of the mapping properties of analytic functions on closed domains
- An introduction to Schwarz–Christoffel transformations and to Dirichlet series
- A streamlined proof of the prime number theorem, and more
- Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (19 chapters)
Reviews
From the reviews of the third edition:
“The book of the known mathematicians J. Bak and D. Newman is an excellent introduction into the theory of analytic functions of one complex variable. The book is written on an elementary level and so it supports students in the early stages of their mathematical studies. … The book also contains many illustrations, examples and exercises, which give additional information and explanations.” (Konstantin Malyutin, Zentralblatt MATH, Vol. 1205, 2011)Authors and Affiliations
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Bibliographic Information
Book Title: Complex Analysis
Authors: Joseph Bak, Donald J. Newman
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4419-7288-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2010
Hardcover ISBN: 978-1-4419-7287-3Published: 06 August 2010
Softcover ISBN: 978-1-4614-2636-3Published: 13 October 2012
eBook ISBN: 978-1-4419-7288-0Published: 02 August 2010
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 3
Number of Pages: XII, 328
Number of Illustrations: 77 b/w illustrations
Topics: Analysis