Field theory and its classical problems, vol.19
Series: The Carus mathematical monographs ; no. 19Publication details: Mathematical Association of America 1975 WashingtonDescription: xvi, 323 p. : ill. ; 19 cmISBN:- 9780883850329
- 512.74 HAD
Item type | Current library | Collection | Call number | Status | Date due | Barcode |
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IIT Gandhinagar General Stacks | General | 512.74 HAD (Browse shelf(Opens below)) | Available | 026066 |
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512.73 QUE Diophantine approximation and dirichlet series | 512.74 ASH Course in algebraic number theory | 512.74 GOL Automorphic forms and L-functions for the group GL(n,R) | 512.74 HAD Field theory and its classical problems, vol.19 | 512.74 KED p-adic differential equations | 512.74 LEH Quadratic number theory: an invitation to algebraic methods in the higher arithmetic, Vol. 55 | 512.74 POL Theory of algebraic numbers |
Includes bibliographical references and index.
Annotation. 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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