Field Theory and Its Classical Problems (Carus Mathematical Monographs, 35, Band 35) - Softcover

Hadlock, Charles Robert

 
9781470449605: Field Theory and Its Classical Problems (Carus Mathematical Monographs, 35, Band 35)
Softcover
ISBN 10: 1470449609 ISBN 13: 9781470449605
Verlag: American Mathematical Society, 2018

Inhaltsangabe

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 $\pi$, 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.

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Verlag
American Mathematical Society
Erscheinungsdatum
2018
Sprache
Englisch
ISBN 10 
1470449609
ISBN 13 
9781470449605
Einband
Taschenbuch
Anzahl der Seiten
323
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
preigu
mail@preigu.de

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9780883850329: Mathematical Association of America Textbooks (The Carus Mathematical Monographs, Number 19)

Vorgestellte Ausgabe

ISBN 10:  088385032X ISBN 13:  9780883850329
Verlag: Mathematical Association of America, 2000
Softcover