Methods for finding Zeros in Polynomials
Publisher: Bookboon
Published: 2013
ISBN-13: 9788776819002
Table of contents: title: Introduction; title: Complex polynomials in general; title: Polynomials in one variable; title: Transformations of real polynomials; title: The fundamental theorem of algebra; title: Vieti’s formulæ; title: Rolle’s theorems; title: Some solution formulæ of roots of polynomials; title: The binomial equation; title: The equation of second degree; title: Rational roots; title: The Euclidean algorithm; title: Roots of multiplicity > 1; title: Position of roots of polynomials in the complex plane; title: Complex roots of a real polynomial; title: Descartes’s theorem; title: Fourier-Budan’s theorem; title: Sturm’s theorem; title: Rouch´e’s theorem; title: Hurwitz polynomials; title: Approximation methods; title: Newton’s approximation formula; title: Graeffe’s root-squaring process; title: Appendix; title: The binomial formula; title: The identity theorem for convergent power series; title: Taylor’s formula; title: Weierstraß’s approximation theorem; title: Index