Field Theory and Its Classical Problems

Charles Robert Hadlock

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English

American Mathematical Soc
30 December 2018

Mathematics & Sciences; Algebra; Algebraic geometry

Series: Carus Mathematical Monographs

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 $\pi$, 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.

By: Charles Robert Hadlock
Imprint: American Mathematical Soc
Country of Publication: United States
Weight: 415g
ISBN: 9781470449605
ISBN 10: 1470449609
Series: Carus Mathematical Monographs
Pages: 323
Publication Date: 30 December 2018
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Field Theory and Its Classical Problems

The presented book is a clear and concise introduction to classical results of Galois theory. The book is an excellent reading for everyone, especially for instructors and first year graduate students in Galois theory. - Acta. Sci. Math.