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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Qazi Ibadur Rahman is in the Department of Mathematics and Statistics, University of Montreal, Canada. Gerhard Schmeisser is at Mathematisches Institut, University of Erlangen-Nuremberg, Germany.
"This book ought to find its place in every mathematical library and will become a basic source for references."--Mathematical Reviews
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