A classical introduction to Galois theory (Q2911596)

If I had to summarize this book in one sentence I would say that it is a modern introduction to Galois theory using pre-Artin tools. More precisely, this book covers Cardano's and Ferrari's solution of cubic and quartic equations, the fundamental theorem on symmetric polynomials, the solvability of cyclotomic polynomials, Gaussian periods, and finally returns to the solution of cubic and quartic equations in the light of Galois theory. In between there are chapters on ``classical Galois theory according to Galois'' or on ``denesting radicals'', and there are sections on ``Newton's formulas'' or ``polynomials of prime degree''. Several appendices provide information on group theoretical results needed in the text. The book contains a wealth of examples, but no exercises.