The Galois Theory, the conclusion of many algebra lectures, has a reputation of only being under-stood by experts. This book is addressed to those who have been trying for years to understand the essence of the Galois Theory but were discouraged by its complexity in other books. The main focus of the book is a concrete theorem about the Galois groups of fourth-grade polynomials and a corollary for biquadratic polynomials. Working with these statements, for which detailed proof is presented and which are illustrated with examples, the reader learns many basis terms and methods for the Galois Theory. At a very practical level the necessary basics of the group theory and the required terms are introduced. A complete generality is intentionally dispensed with for the sake of clarity. In conclusion, the algorithms revealed are realised by implementing them in programmes and, thereby, elementary tests are carried out.
Publication Type: Monograph
Publication Category: Universitätsdrucke