**This text is intended for a one- or two-semester undergraduate course in** **abstract algebra. Traditionally, these courses have ****covered the theoretical** **aspects of groups, rings, and elds. However, with the development of** **computing in the last several decades, applications that involve abstract algebra** **and discrete mathematics have become increasingly important, and ****many science, engineering, and computer science students are now electing** **to minor in mathematics. Though theory still occupies a central role in the** **subject of abstract algebra and no student should go through such a course** **without a good notion of what a proof is, the importance of applications** **such as coding theory and cryptography has grown signicantly.**

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