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Hadlock ∗field Theory∗ And Its Classical Problems (Carus Mathematical Monographs ; No. 19) - Hardcover
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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Review
'The presented book is a clear and concise introduction to classical results of Galois theory. The book is an excellent reading for everyone, especially for instructors and first year graduate students in Galois theory.' Acta. Sci. Math.
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 this title" may belong to another edition of this title.
- PublisherJohn Wiley & Sons
- Publication date1979
- ISBN 10 0883850206
- ISBN 13 9780883850206
- BindingHardcover
- LanguageEnglish
- Number of pages340
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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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American Mathematical Society, 1978
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ISBN 13: 9780883850206
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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
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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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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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