Download E-books Concrete Abstract Algebra: From Numbers to Gröbner Bases PDF

By Niels Lauritzen

Concrete summary Algebra develops the idea of summary algebra from numbers to Gr"obner bases, whereas takin in the entire traditional fabric of a standard introductory direction. furthermore, there's a wealthy provide of issues corresponding to cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials, and platforms of non-linear equations. a distinct function is that Gr"obner bases don't look as an remoted instance. they're totally built-in as an issue that may be effectively taught in an undergraduate context. Lauritzen's method of educating summary algebra relies on an in depth use of examples, functions, and routines. the fundamental philosophy is that inspiring, non-trivial functions and examples supply motivation and straightforwardness the training of summary innovations. This booklet is equipped on numerous years of skilled instructing introductory summary algebra at Aarhus, the place the emphasis on concrete and encouraging examples has greater scholar functionality considerably.

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