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Synopsis
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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Book 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.
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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- PublisherMathematical Assn of Amer
- Publication date1978
- ISBN 10 0883850206
- ISBN 13 9780883850206
- BindingHardcover
- LanguageEnglish
- Number of pages323
- Rating
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Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)
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Mathematical Assn of Amer, 1978
ISBN 10: 0883850206
ISBN 13: 9780883850206
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Field Theory and Its Classical Problems
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Field Theory and Its Classical Problems
Published by
American Mathematical Society, 1978
ISBN 10: 0883850206
ISBN 13: 9780883850206
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Field Theory and its Classical Problems Carus Mathematical Monographs
Published by
Mathematical Association of America, 1978
ISBN 10: 0883850206
ISBN 13: 9780883850206
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FIELD THEORY AND ITS CLASSICAL PROBLEMS (THE CARUS MATHEMATICAL MONOGRAPHS, No. 19)
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ISBN 13: 9780883850206
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Hardcover. Octavo; G+; Hardcover; Spine, blue with gold print; Boards in blue cloth with gold print, light wear to spine caps, slight blemishes on spine, else clean and strong; Text block clean and tight; xvi, 323 pages. 1365449. FP New Rockville Stock. Seller Inventory # 1365449
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Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)
Published by
Mathematical Assn of Amer, 1978
ISBN 10: 0883850206
ISBN 13: 9780883850206
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Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)
Published by
Mathematical Assn of Amer, 1979
ISBN 10: 0883850206
ISBN 13: 9780883850206
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Field Theory and Its Classical Problems.
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Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)
Published by
Mathematical Assn of Amer, 1978
ISBN 10: 0883850206
ISBN 13: 9780883850206
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Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19)
Published by
Mathematical Assn of Amer, 1978
ISBN 10: 0883850206
ISBN 13: 9780883850206
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