Concrete Abstract Algebra

Released on by Niels Lauritzen
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  • Concrete Abstract Algebra Book Detail

  • Author : Niels Lauritzen
  • Release Date : 2003-10-16
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 237
  • ISBN 13 : 1139936611
  • File Size : 63,63 MB
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Concrete Abstract Algebra by Niels Lauritzen PDF Summary

Book Description: Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner 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 Gröbner 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 experience teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly. Solutions to the exercises are available to lecturers from [email protected].

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