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

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9780883850206: Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)
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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.

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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.

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9780883850329: Field Theory and its Classical Problems (Mathematical Association of America Textbooks)

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ISBN 10:  088385032X ISBN 13:  9780883850329
Publisher: The Mathematical Association of ..., 1975
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