A First Course in Abstract Algebra – J. Fraleigh – 7th Edition

Description

Considered a classic by many, A First Course in Abstract Algebra is an in-depth introduction to abstract algebra. Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures.

Salient Features

  • This classical approach to abstract algebra focuses on applications.
  • The text is geared toward high-level courses at schools with strong mathematics programs.
  • Accessible pedagogy includes historical notes written by Victor Katz, an authority on the history of math.
  • By opening with a study of group theory, this text provides students with an easy transition to axiomatic mathematics.

Table of Contents


1. Groups and subgroups
2. Permutations, cosets, and direct products
3. Homomorphisms and factor groups
4. Rings and fields
5. Ideals and factor rings
6. Extension fields
7. Advanced group theory
8. Groups in topology
9. Factorization.
10. Automorphisms and galos theory
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