Field Theory and Its Classical Problems. The Carus Mathematical Monographs, Number Nineteen

Hadlock, Charles Robert

ISBN 10: 0883850206 / ISBN 13: 9780883850206

Published by The Mathematical Association of America, 1978

First edition, first printing, xvi, 323 pp., Hardcover, very good (lacks dust jacket if issued). - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1328860

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.

Bibliographic Details

Title: Field Theory and Its Classical Problems. The...
Publisher: The Mathematical Association of America
Publication Date: 1978
Binding: Hardcover
Condition: Very Good