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Name:Complex Polynomials~tqw~ darksiderg

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Torrent description

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Complex Polynomials
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General Information
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Type.................: Ebook
Part Size............: 16,494,905 bytes




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Posted by............: ~tqw~

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Release Notes
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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.

Table Of Contents

Preface
List of notation
1 The algebra of polynomials 1
2 The degree principle and the fundamental theorem of algebra 22
3 The Jacobian problem 81
4 Analytic and harmonic functions in the unit disc 125
5 Circular regions and Grace's theorem 172
6 The Ilieff-Sendov conjecture 206
7 Self-inversive polynomials 228
8 Duality and an extension of Grace's theorem to rational functions 263
9 Real polynomials 304
10 Level curves 350
11 Miscellaneous topics 370
References 416
Index 421

Product Details

* ISBN: 0521400686
* ISBN-13: 9780521400688
* Format: Hardcover, 428pp
* Publisher: Cambridge University Press
* Pub. Date: January 2003

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