This textbook offers a unique introduction to classical Galois theory through many concrete
examples and exercises of varying difficulty (including computer-assisted exercises). In
addition to covering standard material the book explores topics related to classical problems
such as Galois' theorem on solvable groups of polynomial equations of prime degrees Nagell's
proof of non-solvability by radicals of quintic equations Tschirnhausen's transformations
lunes of Hippocrates and Galois' resolvents. Topics related to open conjectures are also
discussed including exercises related to the inverse Galois problem and cyclotomic fields. The
author presents proofs of theorems historical comments and useful references alongside the
exercises providing readers with a well-rounded introduction to the subject and a gateway to
further reading. A valuable reference and a rich source of exercises with sample solutions
this book will be useful to both students and lecturers. Its original concept makes it
particularly suitable for self-study.
