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Complex Polynomials.

Sheil-Small, T.

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Complex Polynomials.

紀錄類型:	書目-電子資源 : Monograph/item
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.
內容註:	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
標題:	Polynomials. -
電子資源:	http://dx.doi.org/10.1017/CBO9780511543074Click 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:

604754
Polynomials.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA161.P59 S45 2002eb

Dewey Class. No.: 512.942

Complex Polynomials.
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505 0 $a 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
520 $a 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.
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655 7 $a Electronic books. $2 lcsh $3 542853
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700 1 $a Katok, A. $3 1897716
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700 1 $a Sarnak, P. $3 1897718
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