Niels Lauritzen's Concrete Abstract Algebra: From Numbers to Gröbner Bases PDF

By Niels Lauritzen

Concrete summary Algebra, first released in 2003, develops the idea of summary algebra from numbers to Gröbner bases, when taking in the entire ordinary fabric of a standard introductory direction. furthermore there's a wealthy provide of subject matters like cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials and platforms of non-linear equations. a unique function is that Gröbner bases don't look as an remoted instance. they're absolutely built-in as a topic that may be effectively taught in an undergraduate context. Lauritzen's method of instructing summary algebra relies on an in depth use of examples, purposes and workouts. the elemental philosophy is that inspiring, non-trivial purposes and examples provide motivation and simplicity the training of summary ideas. This e-book is outfitted on numerous years of expertise educating introductory summary algebra at Aarhus, the place the emphasis on concrete and encouraging examples has more desirable pupil functionality considerably. strategies to the routines can be found to academics from

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Concrete Abstract Algebra: From Numbers to Gröbner Bases by Niels Lauritzen

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