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[ subject:"Polynomials." ]
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Complex Polynomials.
~
Bollobas, B.
Complex Polynomials.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Complex Polynomials./
作者:
Sheil-Small, T.
其他作者:
Bollobas, B.
出版者:
Cambridge :Cambridge University Press, : 2002.,
面頁冊數:
450 p.
標題:
Polynomials. -
電子資源:
Click here to view book
ISBN:
9780511543074 (electronic bk.)
Complex Polynomials.
Sheil-Small, T.
Complex Polynomials.
[electronic resource]. - Cambridge :Cambridge University Press,2002. - 450 p.
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.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511543074 (electronic bk.)Subjects--Topical Terms:
128832
Polynomials.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA161.P59 S45 2002eb
Dewey Class. No.: 512.942
Complex Polynomials.
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450 p.
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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
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Fulton, W.
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Katok, A.
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