Field Theory and its Classical Problems: 19 (Mathematical Association of America Textbooks, Series Number 19)

Hadlock, Charles Robert

ISBN 10: 088385032X / ISBN 13: 9780883850329

Editore: The Mathematical Association of America, 2000

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Most items will be dispatched the same or the next working day. An apparently unread copy in perfect condition. Dust cover is intact with no nicks or tears. Spine has no signs of creasing. Pages are clean and not marred by notes or folds of any kind. Codice articolo wbs8591545586

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Titolo: Field Theory and its Classical Problems: 19 ...

Casa editrice: The Mathematical Association of America

Data di pubblicazione: 2000

Legatura: Brossura

Condizione: Like New

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Riassunto:

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.

Recensione:

'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.