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Field Theory and its Classical Problems

Charles R. Hadlock

TEXTBOOK*

Beckenbach Book Prize winner!

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 constructibility 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 groups, fields, or abstract algebra is assumed. Notable topics treated along this route include the transcendence of e and of 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. Field Theory and its Classical Problems is a winner of the MAA Edwin Beckenbach Book Prize for excellence in mathematical exposition.

A paperback edition of Field Theory and its Classical Problems is available in the MAA Store.

* As a textbook, Field Theory does have DRM. Our DRM protected PDFs can be downloaded to three computers. Please note that the secure PDFs will open only on the Mac and Windows operating systems.  iOS (iPad & iPhone) and Linux are not supported at this time.  Click here for more information.

Electronic ISBN: 9781614440192

Paperback ISBN: 9780883850329

Hardcover (out of print) ISBN 9780883850206

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Field Theory and its Classical Problems $22.00

 

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