Table of Contents

1: Introduction
I Critical Points in Term of Zeros2: Fundamental results on critical points
3: More sophisticated methods
4: More specific results on critical points
5: Applications to compositions of polynomials
6: Polynomials with real zeros
7: Conjectures and solutions
II Zeros in Terms of Coefficients8: Inclusion of all zeros
9: Inclusion of some of the zeros
10: Number of zeros in an interval
11: Number of zeros in a domain
III Extremal Properties12: Growth estimates
13: Mean values
14: Derivative estimates on the unit disc
15: Derivative estimates on the unit interval
16: Coefficient estimates
Bibliography
Index

Reviews

Presents easy to understand proofs of some of the most difficult results about polynomials demonstrated by means of applications ... Brings to the subject an immense range of reference to the study of polynomials. Professional and academic mathematicians of complex analysis, approximation theory and theoretical numerical analysis; graduate students in mathematics; engineers, statisticians and theoretical physicists, who have an interest in the important results about polynomials, will not do better than start with reading and referring to this book. Current Engineering Practice 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. EMS