Galois Theory

Cox relies heavily on the intuition of the reader to pick up on what he means by a Galois group. Takes him 7 chapters into the book to actually use the term "Galois." Most of his examples are "historical," which here translates as "messy and abstruse." As someone who was assigned to teach a class with this book, I found it to be a massively frustrating book. I research algebra for a living at the university level, and this book is marginal at best. Dummit and Foote shred this book in terms of quality and understandability. I feel that Cox at times tries to find the worst possible way to notate something using a combination of unconventional symbols and steady streams of Greek. Most of his theorems are useless to students trying to accomplish his exercises I have found.

This book is very frustrating. One really wants to like it, but it covers the same material as van der Waerden's Algebra (the part on Galois Theory, that is), but does it in a far more muddled way. Now, the classic book on Galois Theory these days is Artin's little book (and van der Waerden's treatment is generally also attributed to Artin), but Artin is really too abstract, and not really suitable as an introduction, in my opinion. The one advantage of Cox is the wealth of exercises - if not for this, the book would get one star less.

Galois theory is very instructive book, why It chose and I like it because the study of the Galois group is very rigourous why i would recommend this book.

Il y a tous ce qu'il faut savoir sur la théorie de Galois. Un livre très agréable à lire.Une référence dans la théorie de Galois.

ouvrage complet joignant exposé moderne et cheminement historique avec exercices nombreux et incluant des info pour traitement "maple" d'exemples de calcul!Doit figurer dans toute bibli d'un honnete mathematicien