The second edition of this textbook on Abstract Algebra continues to provide a fully self-contained treatment of the fundamental concepts of the subject, taking care to introduce each notion with sufficient number of solved examples that would help readers understand and master the theories presented. A fine collection of exercises enriches each chapter, challenging the readers to check their progress in understanding the results and methods of the discipline, as well as motivating them for more algebra. The book’s writing style is intended to foster students– instructor discussion. A unique learning feature of the text is that each concept in abstract algebra is treated in a separate chapter, taking care of the continuity of the subject matter for easy comprehension by the students. Besides presenting the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them, the second edition has been enriched by the inclusion of a new chapter on matrices and their properties and some special subsets of matrices. In addition, proofs of some of the theorems have been revised and some exercises have been changed into solved examples. The book provides a pedagogical introduction to the topics of abstract algebra and is especially suited for an undergraduate course, though it will be of equal value to the postgraduate students of the subject.