Concrete Abstract Algebra: From Numbers to Gröbner BasesConcrete Abstract Algebra develops the theory of abstract algebra from numbers to Grobner bases, while takin in all the usual material of a traditional introductory course. In addition, there is a rich supply of topics such as cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials, and systems of non linear equations. A special feature is that Grobner bases do not appear as an isolated