A First Course in Abstract Algebra
by John B. Fraleigh, Neal Brand
8th Edition
Publisher: Pearson
Book Details
| Print ISBN | 9780136731627 |
| eText ISBN | 9780136777069 |
| Publisher | Pearson |
| Publishing Year | 2021 |
| Edition | 8th Edition |
| Language | English |
| Pages | 440 |
A First Course in Abstract Algebra, 8th Edition, by John B. Fraleigh and Neal Brand, is a textbook published by Pearson. It provides an in-depth introduction to abstract algebra, designed to prepare students for specialized work in mathematics.
The volume covers foundational concepts such as sets, relations, binary operations, and groups, while introducing applied topics such as coding theory and RSA encryption.
Intended for future graduate students, prospective high school teachers, and students entering industry, the text pairs theoretical exposition with explanations of the methodology and rationale behind each chosen algebraic approach.
Table of Contents
Chapter 0: Sets and Relations
- • Exercises 0
Part I: Groups and Subgroups
- • Section 1 Binary Operations
- • Section 1 Binary Operations (continued)
- • Some Words of Warning
- • Exercises 1
- • Section 2 Groups
- • Elementary Properties of Groups
- • Exercises 2
- • Section 3 Abelian Examples
- • Exercises 3
- • Section 4 Nonabelian Examples
- • Disjoint Cycles
- • Exercises 4
- • Section 5 Subgroups
- • Exercises 5
- • Section 6 Cyclic Groups
- • Subgroups of Finite Cyclic Groups
- • Exercises 6
- • Section 7 Generating Sets and Cayley Digraphs
- • Exercises 7
Part II: Structure of Groups
- • Section 8 Groups of Permutations
- • The Alternating Groups
- • Exercises 8
- • Section 9 Finitely Generated Abelian Groups
- • The Structure of Finitely Generated Abelian Groups
- • Exercises 9
- • Section 10 Cosets and the Theorem of Lagrange
- • Exercises 10
- • Section 11 Plane Isometries
- • Exercises 11
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