This long-awaited revision provides a concise introduction to topics in abstract algebra, taking full account of the major advances and developments that have occurred over the last half-century in the theoretical and conceptual aspects of the discipline, particularly in the areas of groups and fields. Key features include: 1. A new section on binary linear codes 2. New chapter on Automorphisms and Galois Theory 3. 450 fully solved problems and 420 supplementary problems for individual practice 4. More than 175 illustrative examples.
The relevant chapters that correspond to Gallian's 'Abstract Algebra' textbook content are only 9 and 11. The rest of the chapters introduce basics about sets, functions and relations, linear algebra, matrices