Field Theory and Its Classical Problems Paperback / softback
by Charles Robert Hadlock
Part of the Carus Mathematical Monographs series
Paperback / softback
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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.
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 $\pi$, 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.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:323 pages
- Publisher:American Mathematical Society
- Publication Date:30/01/1975
- Category:
- ISBN:9781470449605
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:323 pages
- Publisher:American Mathematical Society
- Publication Date:30/01/1975
- Category:
- ISBN:9781470449605