Complex polynomials:
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Bibliographic Details
Main Author: Sheil-Small, T., (Terence) (Author)
Format: Electronic eBook
Language:English
Published: Cambridge Cambridge University Press 2002
Series:Cambridge studies in advanced mathematics 75
Subjects:
Online Access:FAW01
FAW02
Volltext
Item Description: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
Physical Description:1 Online-Ressource (xix, 428 pages)
ISBN:0511065396
0511067526
0521400686
9780511065392
9780511067525

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