Field theory and its classical problems /
Hadlock, Charles Robert.
Field theory and its classical problems / by Charles Robert Hadlock. - 1 online resource (xvi, 323 pages) : illustrations - The Carus mathematical monographs ; number 19 . - Carus mathematical monographs ; no. 19. .
Originally published: ©1978.
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 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.
9781614440192 (electronic bk.) 1614440190 (electronic bk.)
22573/ctt57mmdm JSTOR
Algebraic fields.
Geometry--Famous problems.
Equations--Numerical solutions.
Radical theory.
Corps algébriques.
Géométrie--Problèmes classiques.
Équations--Solutions numériques.
Théorie des radicaux.
MATHEMATICS--Algebra--Intermediate.
Algebraic fields.
Equations--Numerical solutions.
Geometry--Famous problems.
Radical theory.
Electronic books.
QA247 / .H24 2000eb
512.74
Field theory and its classical problems / by Charles Robert Hadlock. - 1 online resource (xvi, 323 pages) : illustrations - The Carus mathematical monographs ; number 19 . - Carus mathematical monographs ; no. 19. .
Originally published: ©1978.
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 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.
9781614440192 (electronic bk.) 1614440190 (electronic bk.)
22573/ctt57mmdm JSTOR
Algebraic fields.
Geometry--Famous problems.
Equations--Numerical solutions.
Radical theory.
Corps algébriques.
Géométrie--Problèmes classiques.
Équations--Solutions numériques.
Théorie des radicaux.
MATHEMATICS--Algebra--Intermediate.
Algebraic fields.
Equations--Numerical solutions.
Geometry--Famous problems.
Radical theory.
Electronic books.
QA247 / .H24 2000eb
512.74