Concrete Abstract Algebra

From Numbers to Gröbner Bases

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Concrete Abstract Algebra by Niels Lauritzen, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Niels Lauritzen ISBN: 9781139931106
Publisher: Cambridge University Press Publication: October 16, 2003
Imprint: Cambridge University Press Language: English
Author: Niels Lauritzen
ISBN: 9781139931106
Publisher: Cambridge University Press
Publication: October 16, 2003
Imprint: Cambridge University Press
Language: English

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 solutions@cambridge.org.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 solutions@cambridge.org.

More books from Cambridge University Press

Cover of the book Supply Chain Management by Niels Lauritzen
Cover of the book The Power of American Governors by Niels Lauritzen
Cover of the book Analytical Sociology and Social Mechanisms by Niels Lauritzen
Cover of the book A Primer on the Dirichlet Space by Niels Lauritzen
Cover of the book Mozart's Chamber Music with Keyboard by Niels Lauritzen
Cover of the book Global Turning Points by Niels Lauritzen
Cover of the book Molecular Imaging with Reporter Genes by Niels Lauritzen
Cover of the book Opera in the Age of Rousseau by Niels Lauritzen
Cover of the book Cosmic Challenge by Niels Lauritzen
Cover of the book Environmental and Nuclear Networks in the Global South by Niels Lauritzen
Cover of the book The Pregnant Male as Myth and Metaphor in Classical Greek Literature by Niels Lauritzen
Cover of the book Peatland Restoration and Ecosystem Services by Niels Lauritzen
Cover of the book The Material World of Ancient Egypt by Niels Lauritzen
Cover of the book An Introduction to Language and Linguistics by Niels Lauritzen
Cover of the book The Palestinian Novel by Niels Lauritzen
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy