This text seeks to generate interest in abstract algebra by
introducing each new structure and topic via a real-world
application. The down-to-earth presentation is accessible to a
readership with no prior knowledge of abstract algebra. Students
are led to algebraic concepts and questions in a natural way
through their everyday experiences. Applications include:
Identification numbers and modular arithmetic (linear)
error-correcting codes, including cyclic codes ruler and compass
constructions cryptography symmetry of patterns in the real plane
Abstract Algebra: Structure and Application is suitable as a text
for a first course on abstract algebra whose main purpose is to
generate interest in the subject or as a supplementary text for
more advanced courses. The material paves the way to subsequent
courses that further develop the theory of abstract algebra and
will appeal to students of mathematics, mathematics education,
computer science, and engineering interested in applications of
algebraic concepts.
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