Praise for the Third Edition
". an expository masterpiece of the highest didacticvalue that has gained additional attractivity through the variousimprovements."--Zentralblatt MATH
The Fourth Edition of Introduction to Abstract Algebracontinues to provide an accessible approach to the basic structuresof abstract algebra: groups, rings, and fields. The book's uniquepresentation helps readers advance to abstract theory by presentingconcrete examples of induction, number theory, integers modulo n,and permutations before the abstract structures are defined.Readers can immediately begin to perform computations usingabstract concepts that are developed in greater detail later in thetext.
The Fourth Edition features important concepts as well asspecialized topics, including:
* The treatment of nilpotent groups, including the Frattini andFitting subgroups
* Symmetric polynomials
* The proof of the fundamental theorem of algebra using symmetricpolynomials
* The proof of Wedderburn's theorem on finite division rings
* The proof of the Wedderburn-Artin theorem
Throughout the book, worked examples and real-world problemsillustrate concepts and their applications, facilitating a completeunderstanding for readers regardless of their background inmathematics. A wealth of computational and theoretical exercises,ranging from basic to complex, allows readers to test theircomprehension of the material. In addition, detailed historicalnotes and biographies of mathematicians provide context for andilluminate the discussion of key topics. A solutions manual is alsoavailable for readers who would like access to partial solutions tothe book's exercises.
Introduction to Abstract Algebra, Fourth Edition is anexcellent book for courses on the topic at the upper-undergraduateand beginning-graduate levels. The book also serves as a valuablereference and self-study tool for practitioners in the fields ofengineering, computer science, and applied mathematics.