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Concrete Abstract Algebra From Numbers to Grobner Bases

ISBN-10: 0521534100
ISBN-13: 9780521534109
Edition: 2003
Authors: Niels Lauritzen
List price: $64.99 Buy it from $14.24
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Description: Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gr"obner 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,  More...

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Book details

List price: $64.99
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 10/16/2003
Binding: Paperback
Pages: 256
Size: 6.00" wide x 8.75" long x 0.50" tall
Weight: 0.880

Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gr"obner 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 Gr"obner 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 examples give motivation and ease the learning of abstract concepts. This book is built on several years of experienced teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly.

Marco R. Steenbergen is Associate Professor at the Department of Political Science, University of North Carolina, Chapel Hill.

Numbers
Groups
Rings
Polynomials
Gröbner bases

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