Field Theory and Its Classical Problems - Brossura

Hadlock, Charles Robert

Brossura

ISBN 10: 1470449609 ISBN 13: 9781470449605

Casa editrice: Maa Pr, 1975

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 $\pi$, 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.

Dettagli dell?edizione

• Editore: Maa Pr
• Data di pubblicazione: 1975
• Lingua: Inglese
• ISBN 10: 1470449609
• ISBN 13: 9781470449605
• Rilegatura: Copertina flessibile
• Numero di pagine: 323
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile