Field theory and its classical problems / by Charles Robert Hadlock.

Format:

Book

Author/Creator:

Hadlock, Charles Robert, author.

Series:

Carus mathematical monographs ; Number 19.

Carus Mathematical Monographs ; Number 19

Language:

English

Subjects (All):

Algebraic fields.

Geometry--Famous problems.

Geometry.

Equations--Numerical solutions.

Equations.

Radical theory.

Physical Description:

1 online resource (xvi, 323 pages) : digital, PDF file(s).

Edition:

1st ed.

Other Title:

Field Theory & its Classical Problems

Place of Publication:

Washington : Mathematical Association of America, 1978.

Language Note:

English

Summary:

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 constructibility 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 groups, fields, or abstract algebra is assumed. Notable topics treated along this route include the transcendence of e and of 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. Field Theory and its Classical Problems is a winner of the MAA Edwin Beckenbach Book Prize for excellence in mathematical exposition.

Contents:

The three Greek problems

Field extensions

Solution by radicals

Polynomials with symmetric groups.

Notes:

Includes bibliographical references and index.

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

ISBN:

1-61444-019-0