Field Theory and Its Classical Problems. The Carus mathematical monographs, Volume 19

Hadlock, Charles Robert

ISBN 10: 0883850206 / ISBN 13: 9780883850206

Published by Mathematical Assn. of America, 1978

About this Item

3rd printing (with minor revisions). 323 pages, ex library with the usual markings, text block Near Fine.

Seller Inventory # 133112

Bibliographic Details

• Title: Field Theory and Its Classical Problems. The Carus mathematical monographs, Volume 19
• Publisher: Mathematical Assn. of America
• Publication Date: 1978
• Language: English
• ISBN 10: 0883850206
• ISBN 13: 9780883850206
• Binding: hardcover
• Edition: third printing.
• Condition: very good
• Dust Jacket Condition: no jacket

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 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.

Book Description

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.