Polynomials

Victor V. Prasolov - Collection Algorithms and Computation in Mathematics

300 pages, parution le 28/07/2004

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Résumé

The theory of polynomials constitutes an essential part of university of algebra and calculus. Nevertheless, there are very few books entirely devoted to this theory. This book provides an exposition of the main results in the theory of polynomials, both classical and modern. Many of the modern results have only been published in journals so far. Considerable attention is given to Hilbert's 17th problem on the representation of non-negative polynomials by the sums of squares of rational functions and its generalizations. Galois theory is discussed primarily from the point of view of the theory of polynomials, not from that of the general theory of fields and their extensions.

L'auteur - Victor V. Prasolov

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Sommaire

Roots of polynomials
Irreducible polynomials
Polynomials of a particular form
Certain properties of polynomials
Galois theory
Ideals in polynomial rings
Hilbert's seventeenth problem

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Victor V. Prasolov
Collection	Algorithms and Computation in Mathematics
Parution	28/07/2004
Nb. de pages	300
Format	16 x 24
Couverture	Relié
Poids	580g
Intérieur	Noir et Blanc
EAN13	9783540407140