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Algebra with Galois Theory
About this Title
Emil Artin
Publication: Courant Lecture Notes
Publication Year:
2007; Volume 15
ISBNs: 978-0-8218-4129-7 (print); 978-1-4704-3115-0 (online)
DOI: https://doi.org/10.1090/cln/015
MathSciNet review: MR2353054
MSC: Primary 12F10; Secondary 12-01
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Groups
- Chapter 2. Rings and fields
- Chapter 3. Polynomials. Factorization into primes. Ideals
- Chapter 4. Solution of the general equation of $n$th degree. Residue classes. Extension fields. Isomorphisms
- Chapter 5. Galois theory
- Chapter 6. Polynomials with integral coefficients
- Chapter 7. The theory of equations