Field Theory and Its Classical Problems (Carus Mathematical Monographs Series #19) / Edition 1
  • Field Theory and Its Classical Problems (Carus Mathematical Monographs Series #19) / Edition 1
  • Field Theory and Its Classical Problems (Carus Mathematical Monographs Series #19) / Edition 1

Field Theory and Its Classical Problems (Carus Mathematical Monographs Series #19) / Edition 1

by Charles Robert Hadlock
     
 

ISBN-10: 088385032X

ISBN-13: 9780883850329

Pub. Date: 06/01/2000

Publisher: Mathematical Association of America

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

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Overview

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.

Product Details

ISBN-13:
9780883850329
Publisher:
Mathematical Association of America
Publication date:
06/01/2000
Series:
Carus Mathematical Monographs Series, #19
Edition description:
New Edition
Pages:
323
Product dimensions:
5.02(w) x 7.34(h) x 0.76(d)

Table of Contents

1. Three Greek problems; 2. Field extensions; 3. Solution by radicals; 4. Polynomials with symmetry groups.

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