Field Theory and Its Classical Problems (Paperback)

Charles Robert Hadlock

ISBN 10: 1470449609 / ISBN 13: 9781470449605

Published by American Mathematical Society, Providence, 1975

About this Item

Paperback. 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. Allows 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781470449605

Bibliographic Details

• Title: Field Theory and Its Classical Problems (Paperback)
• Publisher: American Mathematical Society, Providence
• Publication Date: 1975
• Language: English
• ISBN 10: 1470449609
• ISBN 13: 9781470449605
• Binding: Paperback
• Condition: new

About this title

Synopsis

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 , 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.

Review

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.