TY - BOOK AU - Sheil-Small,T. TI - Complex polynomials T2 - Cambridge studies in advanced mathematics SN - 0511065396 AV - QA161.P59 S45 2002eb U1 - 512.9/42 21 PY - 2002/// CY - Cambridge, New York PB - Cambridge University Press KW - Polynomials KW - Functions of complex variables KW - PolynĂ´mes KW - Fonctions d'une variable complexe KW - MATHEMATICS KW - Algebra KW - Elementary KW - bisacsh KW - fast KW - Electronic books N1 - 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 N2 - 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 UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=120438 ER -