Complex Polynomials By Terence Sheil-Small

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Complex Polynomials
By Terence Sheil-Small
Published by Cambridge University Press, 2002
ISBN 0521400686, 9780521400688
428 pages

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Complex Polynomials explores the geometric theory of polynomials and rational functions in the plane. Early chapters build the foundations of complex variable theory, melding together ideas from algebra, topology, and analysis. Throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems. Several solutions to problems are given, including a comprehensive account of the geometric convolution theory

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