
By Niels Lauritzen
ISBN-10: 0521826799
ISBN-13: 9780521826792
Concrete summary Algebra develops the idea of summary algebra from numbers to Gr"obner bases, whereas takin in all of the ordinary fabric of a standard introductory direction. moreover, there's a wealthy offer of subject matters resembling cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials, and platforms of non-linear equations. a distinct characteristic is that Gr"obner bases don't look as an remoted instance. they're totally built-in as a subject matter that may be effectively taught in an undergraduate context. Lauritzen's method of educating summary algebra is predicated on an in depth use of examples, functions, and workouts. the elemental philosophy is that inspiring, non-trivial purposes and examples provide motivation and straightforwardness the training of summary thoughts. This e-book is equipped on a number of years of skilled educating introductory summary algebra at Aarhus, the place the emphasis on concrete and encouraging examples has superior pupil functionality considerably.