Polynomials / Victor V. Prasolov ; translated from the Russian by Dimitry Leites.

Format:

Book

Author/Creator:

Prasolov, V. V. (Viktor Vasilʹevich)

Contributor:

Anne and Joseph Trachtman Memorial Book Fund.

Series:

Algorithms and computation in mathematics 1431-1550 ; v. 11.

Algorithms and computation in mathematics, 1431-1550 ; v. 11

Language:

English

Subjects (All):

Polynomials.

Physical Description:

xiii, 301 pages : illustrations ; 25 cm.

Place of Publication:

Berlin ; New York : Springer, 2004.

Summary:

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.

Notes:

Includes bibliographical references (pages [289]-296) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Anne and Joseph Trachtman Memorial Book Fund.

ISBN:

3540407146

OCLC:

56014159