Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19) - Hardcover

Hadlock, Charles Robert

Hardcover

ISBN 10: 0883850206 ISBN 13: 9780883850206

Publisher: Mathematical Assn of Amer, 1978

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.

About this title

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.

About the Author:

Charles Hadlock is Dean of the Undergraduate College and Associate Dean of Faculty at Bentley College, in Waltham, Massachusetts, where he has been a member of the faculty since 1990.He received his PhD from the University of Illnois in 1970.

About this edition

• Publisher: Mathematical Assn of Amer
• Publication date: 1978
• ISBN 10: 0883850206
• ISBN 13: 9780883850206
• Binding: Hardcover
• Number of pages: 323