Amazon cover image
Image from Amazon.com

Complex polynomials / T. Sheil-Small.

By: Material type: TextTextSeries: Cambridge studies in advanced mathematics ; 75.Publication details: Cambridge ; New York : Cambridge University Press, 2002.Description: 1 online resource (xix, 428 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 0511065396
  • 9780511065392
  • 0511067526
  • 9780511067525
Subject(s): Genre/Form: Additional physical formats: Print version:: Complex polynomials.DDC classification:
  • 512.9/42 21
LOC classification:
  • QA161.P59 S45 2002eb
Online resources:
Contents:
Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Notations; 1 The algebra of polynomials; 2 The degree principle and the fundamental theorem of algebra; 3 The Jacobian problem; 4 Analytic and harmonic functions in the unit disc; 5 Circular regions and Grace's theorem; 6 The Ilieff-Sendov conjecture; 7 Self-inversive polynomials; 8 Duality and an extension of Grace's theorem to rational functions; 9 Real polynomials; 10 Level curves; 11 Miscellaneous topics; References; Index.
Summary: This book studies the geometric theory of polynomials and rational functions in the plane. The theory is carefully constructed bearing in mind the needs of graduate students. Several unsolved problems are presented as well as the full solutions to some well known conjectures.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references (pages 416-419) and index.

Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; Notations; 1 The algebra of polynomials; 2 The degree principle and the fundamental theorem of algebra; 3 The Jacobian problem; 4 Analytic and harmonic functions in the unit disc; 5 Circular regions and Grace's theorem; 6 The Ilieff-Sendov conjecture; 7 Self-inversive polynomials; 8 Duality and an extension of Grace's theorem to rational functions; 9 Real polynomials; 10 Level curves; 11 Miscellaneous topics; References; Index.

This book studies the geometric theory of polynomials and rational functions in the plane. The theory is carefully constructed bearing in mind the needs of graduate students. Several unsolved problems are presented as well as the full solutions to some well known conjectures.

Print version record.

Master record variable field(s) change: 082

Powered by Koha