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Textbook in PDF format

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:
A new section on binary linear codes
New chapter on Automorphisms and Galois Theory
450 fully solved problems and 420 supplementary problems for individual practice
More than 175 illustrative examples.
Set Theory.
Relations, Functions, and Algorithms.
Vectors and Matrices.
Counting Graph Theory.
Probability Theory.
Directed Graphs.
Algebraic Systems.
Ordered Sets.
Logic and Propositional Calculus.
Boolean Algebra.
Binary Trees.
Languages, Grammars, and Machines.
Properties of the Integers