I know that there have been written similar posts, and I used them as a source for my question.
I ' m looking for a book for Galois Theory (Construction of fields. Algebraic extensions - Classical Greek problems: constructions with ruler and compass. Galois extensions - Applications: solvability of algebraic equations - The fundamental theorem of Algebra - Roots of unity - Finite fields), which has the following characteristics:
- Logical order in the presentation of the theorems, definitions and generally of all concepts.
- Thorough analysis of each proof, example etc.
- Many examples and good exercises to solve.
- Also, to be suitable for self-study and for the first touch in the subject.
I should notice that I don't like Stewart's and Rotman's book.
What's your opinion for 1) Galois Theory by Bakers, 2) Galois Theory by Roman, 3) Fields and Galois Theory by Howie, 4) Galois Theory by Jean-Pierre Escofier. And do you believe that it is better to read from a general Abstract Algebra book, such that Fraleigh's/ Dummit's and Foote's/Gallian's?
Thank you in advance.