Book Algorithms and Computation in Mathematics pdf
Book Algorithms and Computation in Mathematics pdf : Editors Manuel Bronstein ; Arjeh M.Cohen ; Henri Cohen ; David Eisenbud ; Bernd Sturmfels
The theory of polynomials constitutes an essential part of university courses of algebra and calculus. Nevertheless, there are very few books entirely devoted to this theory. Though, after the first Russian edition of this book was printed, there appeared several books devoted to particular aspects of the polynomial theory, they have almost no intersection with this book.
Roots of Polynomials : Inequalities for roots ; The Fundamental Theorem of Algebra ; Cauchy’s theorem ; Laguerre’s theorem ; Apolar polynomials ; The Routh-Hurwitz problem ; The roots of a given polynomial and of its derivative ; The Gauss-Lucas theorem ; The roots of the derivative and the focal points of an ellipse ; Localization of the roots of the derivative………