TY  - BOOK
AU  - Hadlock,Charles Robert
TI  - Field theory and its classical problems
T2  - The Carus mathematical monographs
SN  - 9781614440192
AV  - QA247 .H24 2000eb
U1  - 512.74 22
PY  - 2000///]
CY  - [Washington, D.C.]
PB  - Mathematical Association of America
KW  - Algebraic fields
KW  - Geometry
KW  - Famous problems
KW  - Equations
KW  - Numerical solutions
KW  - Radical theory
KW  - Corps algébriques
KW  - Géométrie
KW  - Problèmes classiques
KW  - Équations
KW  - Solutions numériques
KW  - Théorie des radicaux
KW  - MATHEMATICS
KW  - Algebra
KW  - Intermediate
KW  - bisacsh
KW  - fast
KW  - Electronic books
N1  - Originally published: ©1978; Includes bibliographical references and index
N2  - 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 Ï & euro;, 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=760876
ER  -