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Available4.7
15 reviewsMathematics Subject Classification (2000): • 12-XX Field theory and polynomials • 12E05 Polynomials in general fields (irreducibility, etc.)
The theory of polynomials constitutes an essential part of university courses of algebra and calculus.
This book contains an exposition of the main results in the theory of polynomials, both classical and modern. 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.
This book covers its topic in greater depth than the typical standard books on polynomial algebra.
Originally published by MCCME Moscow Center for Continuous Math. Education in 2001 (Second Edition)
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