<p>Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular n-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of algebra is assumed. Notable topics treated along this route include the transcendence of e and Ï€, cyclotomic polynomials, polynomials over the integers, Hilbert's irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems.</p>

Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)

Science & Math

Hadlock, Charles Robert

Mathematics

Mathematical Assn of Amer

<p>Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular n-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of algebra is assumed. Notable topics treated along this route include the transcendence of e and π, cyclotomic polynomials, polynomials over the integers, Hilbert's irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems.</p>

Field Theory and its Classical Problems (Mathematical Association of America Textbooks, Series Number 19)

The Mathematical Association of America

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Books by Hadlock, Charles Robert

See the best price to sell, buy, or rent books by Hadlock, Charles Robert. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)

Field Theory and its Classical Problems (Mathematical Association of America Textbooks, Series Number 19)