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

ISBN-13: 9780198534938 / Angielski / Twarda / 2002 / 760 str.

Qazi Ibadur Rahman; Gerhard Schmeisser

Opis

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.

Recenzje

A nicely written book that will be useful for scientists, engineers and mathematicians from other fields. It can be strongly recommended as an undergraduate or graduate text and as a comprehensive source for self study.