Concrete Abstract Algebra by Niels Lauritzen - 9780521826792

Concrete Abstract AlgebraFrom Numbers to Grbner Bases\nAuthor(s): Niels Lauritzen\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521826792, 978-0521826792\nSynopsis\nConcrete Abstract Algebra develops the theory of abstract algebra from numbers to Grbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials and systems of non-linear equations. A special feature is that Grbner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications and exercises. The basic philosophy is that inspiring, non-trivial applications and example]