Field Theory and its Classical Problems
Field Theory and its Classical Problems
£28.99
GBPField 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.
- Classical material in a modern style
- Class tested
- Widespread undergraduate courses on this material
Reviews & endorsements
'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.
Product details
December 2000Paperback
9780883850329
340 pages
188 × 128 × 22 mm
0.325kg
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Table of Contents
- 1. Three Greek problems
- 2. Field extensions
- 3. Solution by radicals
- 4. Polynomials with symmetry groups.
