Subjects / Galois theory
Best books to learn Galois theory, in order
Galois theory explains why there is no formula in radicals for the general quintic, and it does so by translating a question about polynomials into a question about groups. The translation is the whole subject, and it is not learnable cold: you need field extensions, splitting fields and enough group theory to recognise a solvable group.
Reading paths for galois theory
Best Books to Learn Galois Theory, in Order
Beginner14books107 hrs4 stages
Popular galois theory books
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Frequently asked questions
- How should I approach learning galois theory?
- Galois theory explains why there is no formula in radicals for the general quintic, and it does so by translating a question about polynomials into a question about groups. The translation is the whole subject, and it is not learnable cold: you need field extensions, splitting fields and enough group theory to recognise a solvable group.
- What's a good book to start galois theory with?
- A strong starting point is A Book of Abstract Algebra by Charles C. Pinter. The ordered reading paths above show exactly where it fits and what to read next.