Galois Theory / Wiley Series in Pure and Applied Mathematics (PDF)

Praise for the First Edition

". . .will certainly fascinate anyone interested in abstract
algebra: a remarkable book!"

--Monatshefte fur Mathematik

Galois theory is one of the most established topics in
mathematics, with historical roots that led to the development of
many central concepts in modern algebra, including groups and
fields. Covering classic applications of the theory, such as
solvability by radicals, geometric constructions, and finite
fields, Galois Theory, Second Edition delves into novel
topics like Abel's theory of Abelian equations, casus
irreducibili, and the Galois theory of origami.

In addition, this book features detailed treatments of several
topics not covered in standard texts on Galois theory,
including:

* 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
lemniscates

* Galois groups of quartic polynomials in all
characteristics

Throughout the book, intriguing Mathematical Notes and
Historical Notes sections clarify the discussed ideas and
the historical context; numerous exercises and examples use Maple
and Mathematica to showcase the computations related to Galois
theory; and extensive references have been added to provide readers
with additional resources for further study.

Galois Theory, Second Edition is an excellent book for
courses on abstract algebra at the upper-undergraduate and graduate
levels. The book also serves as an interesting reference for anyone
with a general interest in Galois theory and its contributions to
the field of mathematics.