AnInvitation to Abstract Algebra via Applicationsseeksto generate an interest in abstract algebra while requiring minimal prerequisites via the use of motivating applications examples, rather than, developing acomplete theory of algebraicMoreAnInvitation to Abstract Algebra via Applicationsseeksto generate an interest in abstract algebra while requiring minimal prerequisites via the use of motivating applications examples, rather than, developing acomplete theory of algebraic structures.
The thorough and logical presentation starts with concrete topics and applications based on everyday experiencesthat naturallylead students to algebraic questions and concepts. The consistent, down-to-earth presentation isaccessible to an audience with no previous knowledge of abstract algebra, paving the way towardsmore advanced algebra courses.The chosenapplications include: Error-correcting codes Linear algebra and linear codes Ruler and compass constructions Cyclic codesCryptography and group theorySymmetryAn Invitation to Abstract Algebra via Applications provides motivation, introductory material, exercises and examples suitable for a first course on abstract algebra whose main purpose is to generate interest in the subject and to prepare students for subsequent algebra courses.
It will also appeal to math majors looking for applications of the concepts discussed as well as engineeringand computer science undergraduates with a strong mathematics background.