Concrete Abstract Algebra

TRAMA

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.

NOTE EDITORE

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.

SOMMARIO

1. Numbers; 2. Groups; 3. Rings; 4. Polynomials; 5. Gröbner bases.

PREFAZIONE

This 2003 book develops abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. Niels Lauritzen's approach to teaching is based on an extensive use of examples, applications and exercises. This approach has proved extremely successful in the author's experience at Aarhus. Solutions to the exercises are available to lecturers from solutions@cambridge.org.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9780521826792
• Dimensioni: 229 x 19 x 152 mm Ø 540 gr
• Formato: Copertina rigida
• Illustration Notes: 40 b/w illus.
• Pagine Arabe: 256