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Polynomials [Repost]
![Polynomials [Repost]](https://pixhost.icu/avaxhome/c4/11/004711c4.jpg)
Victor V. Prasolov - Polynomials
Published: 2004-11-18 | ISBN: 3540407146, 3642039790 | PDF | 301 pages | 1.74 MB
Covers its topic in greater depth than the typical standard books on polynomial algebra.
This comprehensive book covers both long-standing results in the theory of polynomials and recent developments which have until now only been available in the research literature. After initial chapters on the location and separation of roots and on irreducibility criteria, the book covers more specialized polynomials, including those which are symmetric, integer-value or cyclotomic, and those of Chebyshev and Bernoulli. There follow chapters on Galois theory and ideals in polynomial rings. Finally there is a detailed discussion of Hilbert’s 17th problem on the representation of non-negative polynomials as sums of squares of rational functions and generalizations.