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Field Theory and Its Classical Problems

Product Image: Field Theory and Its Classical Problems

Field Theory and Its Classical Problems

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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.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
340
Release Date:
2000-06-01
Publication Date:
2000-12-07
Publisher:
Mathematical Association of America (MAA)
Languages:
Original: English
ISBN10:
088385032X
ISBN13:
9780883850329
Weight:
327 g
Height:
138 cm
Width:
216 cm
Thickness:
22 cm
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