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.

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Antiquariaat Berger & De Vries is a member of the Dutch Antiquarian Book Association (NVvA) and its international counterpart, the ILAB. It has been around for over 28 years and is run by three booksellers, Alie Berger, Michel de Vries & Robin ter Beke. Boekenpost, Dutch journal for book- and print lovers, proclaimed the owners as Antiquaren Booksellers of the Year 2011. -- Antiquariaat Berger & De Vries / DIHAN /Bookmaker Pelsterstraat 27-29 9711KH Groningen t. 0031 (0)50.3188591 info@bergerendevries.nl www.bergerendevries.nl

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