Although I wrote the first edition of this book more than 25 years ago,
my goals for it remain the same. I want students to receive a solid intro-
duction to the traditional topics. I want readers to come away with the
view that abstract algebra is a contemporary subject—that its concepts
and methodologies are being used by working mathematicians, com-
puter scientists, physicists, and chemists. I want students to see the
connections between abstract algebra and number theory and geom-
etry. I want students to be able to do computations and to write proofs.
I want students to enjoy reading the book. And I want to convey to the
reader my enthusiasm for this beautiful subject.
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