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Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

Hardcover

Series: London Mathematical Society Monographs, Book 26

AlgebraGeneral MathematicsProbability & Statistics

ISBN10: 0198534930
ISBN13: 9780198534938
Publisher: Clarendon Press
Published: Nov 7 2002
Pages: 756
Weight: 2.71
Height: 1.56 Width: 6.14 Depth: 9.21
Language: English
This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind.
The zeros of compositions of polynomials are also investigated along with their growth, and some of these considerations lead to the study of analogous questions for trigonometric polynomials and certain transcendental entire functions. The strength of methods are fully explained and demonstrated by means of applications.

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Algebra