Galois Theory (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

Galois Theory covers classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields. The book also delves into more novel topics, including Abel’s theory of Abelian equations, the problem of expressing real roots by real radicals (the casus irreducibilis), and the Galois theory of origami. Anyone fascinated by abstract algebra will find careful discussions of such topics as:

• The contributions of Lagrange, Galois, and Kronecker
• How to compute Galois groups
• Galois’s results about irreducible polynomials of prime or prime-squared degree
• Abel’s theorem about geometric constructions on the lemniscate