Abstract Algebra: An Introduction with Applications (De Gruyter Textbook)

Robinson, Derek J.S.

ISBN 10: 3111700127 ISBN 13: 9783111700120

Verlag: De Gruyter, 2025

Inhaltsangabe

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and the information and physical sciences. In addition to introducing the main concepts of modern algebra – groups, rings, modules and fields – the book contains numerous applications, which are intended to illustrate the concepts and to show the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems, error correcting codes and economics are described. There is ample material here for a two semester course in abstract algebra. Proofs of almost all results are given. The reader led through the proofs in gentle stages. There are more than 500 problems, of varying degrees of diffi culty. The book should be suitable for advanced undergraduate students in their fi nal year of study and for fi rst or second year graduate students at a university in Europe or North America. In this third edition three new chapters have been added: an introduction to the representation theory of fi nite groups, free groups and presentations of groups, an introduction to category theory.

Über diesen Titel

Über die Autorin bzw. den Autor

Derek J.S. Robinson, University of Illinois, Urbana-Champaign, USA.

Details zur Ausgabe

• Verlag: De Gruyter
• Erscheinungsdatum: 2025
• Sprache: Englisch
• ISBN 10: 3111700127
• ISBN 13: 9783111700120
• Einband: Broschiert
• Auflage: 3
• Anzahl der Seiten: 456
• Kontakt zum Hersteller: De Gruyter Niemeyer; orders-books@degruyter.com; ; Genthiner Str. 13; Berlin; 10785; Deutschland