作者	P.Borwein/等
出版社
出版时间	1997-09-01

特色：

片断：IntroductionandBasicPropertiesOverviewThemostbasicandimportanttheoremconcerningpolynomialsistheFun-damentalTheoremofAlgebra.Thistheorem,whichtellsusthateverypolynomialfactorscompletelyoverthecomplexnumbers.isthestartingpointforthisbook.Someoftheintricaterelationshipsbetweentheloca-tionofthezerosofapolynomialanditscoefficientsareexploredinSection2.TheequallyintricaterelationshipsbetweenthezerosofapolynomialandthezerosofitsderivativeorintegralarethesubjectofSection1.3.Thischapterservesasageneralintroductiontothebodyoftheoryknownasthegeometryofpolynomials.HighlightsofthischapterincludetheFundamen-talTheoremofAlgebra,theEnestrom-Kakeyatheorem,Lucas'theorem,andWalsh'stwo-circletheorem.1.1PolynomialsandRationalFunctionsThefocusforthisbookisthepolynomialofasinglevariable.Thisisanextendednotionofthepolynomial,aswewillseelater,butthemostim-portantexamplesarethealgebraicandtrigonometricpolynomials,whichwenowdefine.