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

Hardcover | July 1, 2002

byQazi Ibadur Rahman, Gerhard Schmeisser

not yet rated|write a review
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 anlytic 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 bymeans of applications.

Pricing and Purchase Info

$380.52 online
$450.00 list price (save 15%)
Ships within 1-3 weeks
Ships free on orders over $25

From the Publisher

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 anlytic functions of a special kind.The zeros of compositions of polynomials are also investigated along with their growth and some of these considerations le...

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.
Format:HardcoverDimensions:756 pages, 9.21 × 6.14 × 1.75 inPublished:July 1, 2002Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198534930

ISBN - 13:9780198534938

Look for similar items by category:

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

Reviews

Extra Content

Table of Contents

1. IntroductionI Critical Points in Term of Zeros2. Fundamental results on critical points3. More sophisticated methods4. More specific results on critical points5. Applications to compositions of polynomials6. Polynomials with real zeros7. Conjectures and solutionsII Zeros in Terms of Coefficients8. Inclusion of all zeros9. Inclusion of some of the zeros10. Number of zeros in an interval11. Number of zeros in a domainIII Extremal Properties12. Growth estimates13. Mean values14. Derivative estimates on the unit disc15. Derivative estimates on the unit interval16. Coefficient estimatesBibliographyIndex

Editorial Reviews

"This book ought to find its place in every mathematical library and will become a basic source for references."--Mathematical Reviews