Articles liés à Field Theory and its Classical Problems
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
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.
Revue de presse
'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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Autres éditions populaires du même titre
Résultats de recherche pour Field Theory and its Classical Problems
Image d'archives
Field Theory and Its Classical Problems
Edité par
American Mathematical Society, 1975
ISBN 10 : 088385032X
ISBN 13 : 9780883850329
Ancien ou d'occasion
Couverture souple
Vendeur : Better World Books: West, Reno, NV, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : Good. Used book that is in clean, average condition without any missing pages. N° de réf. du vendeur 52347159-75
Quantité disponible : 1 disponible(s)
Image d'archives
Mathematical Association of America Textbooks (The Carus Mathematical Monographs, Number 19)
Edité par
Mathematical Association of America, 2000
ISBN 10 : 088385032X
ISBN 13 : 9780883850329
Ancien ou d'occasion
paperback
Vendeur : Studibuch, Stuttgart, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
paperback. Etat : Gut. 340 Seiten; 9780883850329.3 Gewicht in Gramm: 500. N° de réf. du vendeur 805131
Quantité disponible : 2 disponible(s)