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A First Course in Abstract Algebra 8th Edition By John B. Fraleigh

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Document details

Pages: 449
File size: 5.43 MB
Format: Digital PDF
Course: Algebra
Category: eBook[PDF]

About this ebook

A First Course in Abstract Algebra (8th Edition) by John B. Fraleigh and co-author Neal Brand is a premier introductory textbook designed for undergraduate mathematics majors. Published by Pearson, this edition updates a classic text to build a firm foundation in mathematical structures for future educators, industry scientists, and graduate students. [1, 2, 3]

Key Updates in the 8th Edition

- New Co-Author: Neal Brand joins John B. Fraleigh to refine explanations based on decades of classroom experience.
- Modern Applications: Integrates contemporary applied topics, including RSA Encryption, coding theory, and practical implementations of Gröbner bases.
- Historical Context: Features updated historical mathematical notes contributed by Victor J. Katz. [1, 2]

Core Topics Covered

- Group Theory: Binary operations, cyclic groups, permutations, cosets, Lagrange's Theorem, and homomorphic mappings.
- Ring Theory: Rings, integral domains, Fermat's and Euler's Theorems, ideals, and factor rings.
- Field Theory: Extension fields, algebraic extensions, geometric constructions, and an introduction to Galois Theory.