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Field Theory and its Classical Problems (Mathematical Association of America Textbooks, Series Number 19) - Softcover
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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- PublisherThe Mathematical Association of America
- Publication date2000
- ISBN 10 088385032X
- ISBN 13 9780883850329
- BindingPaperback
- LanguageEnglish
- Number of pages340
- Rating
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Field Theory and Its Classical Problems
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American Mathematical Society, 1975
ISBN 10: 088385032X
ISBN 13: 9780883850329
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Field Theory and Its Classical Problems
Published by
American Mathematical Society, 1975
ISBN 10: 088385032X
ISBN 13: 9780883850329
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Field Theory and its Classical Problems (Mathematical Association of America Textbooks)
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The Mathematical Association of America, 2000
ISBN 10: 088385032X
ISBN 13: 9780883850329
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Field Theory and its Classical Problems: 19 (Mathematical Association of America Textbooks, Series Number 19)
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ISBN 13: 9780883850329
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Mathematical Association of America Textbooks (The Carus Mathematical Monographs, Number 19)
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Mathematical Association of America, 2000
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ISBN 13: 9780883850329
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