Book description
Praise for the Third Edition
". . . an expository masterpiece of the highest didactic value
that has gained additional attractivity through the various
improvements . . ."-Zentralblatt MATH
The Fourth Edition of Introduction to Abstract Algebra
continues to provide an accessible approach to the basic structures of
abstract algebra: groups, rings, and fields. The book's unique
presentation helps readers advance to abstract theory by presenting
concrete examples of induction, number theory, integers modulo n, and
permutations before the abstract structures are defined. Readers can
immediately begin to perform computations using abstract concepts that
are developed in greater detail later in the text.
The Fourth Edition features important concepts as well as specialized
topics, including:
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The treatment of nilpotent groups, including the Frattini and
Fitting subgroups
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Symmetric polynomials
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The proof of the fundamental theorem of algebra using symmetric polynomials
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The proof of Wedderburn's theorem on finite division rings
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The proof of the Wedderburn-Artin theorem
Throughout the book, worked examples and real-world problems
illustrate concepts and their applications, facilitating a complete
understanding for readers regardless of their background in
mathematics. A wealth of computational and theoretical exercises,
ranging from basic to complex, allows readers to test their
comprehension of the material. In addition, detailed historical notes
and biographies of mathematicians provide context for and illuminate
the discussion of key topics. A solutions manual is also available for
readers who would like access to partial solutions to the book's exercises.
Introduction to Abstract Algebra, Fourth Edition is an
excellent book for courses on the topic at the upper-undergraduate and
beginning-graduate levels. The book also serves as a valuable
reference and self-study tool for practitioners in the fields of
engineering, computer science, and applied mathematics.
