Abstract Algebra

An Introduction with Applications

Derek J.S. Robinson

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English

De Gruyter
21 February 2022

Mathematics & Sciences; Algebra

Series: De Gruyter Textbook

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.

By: Derek J.S. Robinson
Imprint: De Gruyter
Country of Publication: Germany
Edition: 3rd, extended edition
Dimensions: Height: 240mm, Width: 170mm,
Weight: 741g
ISBN: 9783110686104
ISBN 10: 3110686104
Series: De Gruyter Textbook
Pages: 456
Publication Date: 21 February 2022
Audience: College/higher education , Primary , Primary
Format: Paperback
Publisher's Status: Active

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

Reviews for Abstract Algebra: An Introduction with Applications

"""Altogether, this book represents a very gentle, user-friendly and skillful introduction to undergraduate abstract algebra for students in various fields of science. [...] a very experienced teacher has here presented a valuable introductory text on abstract algebra that can universally be used as a source for a one or two semester course on the subject for students in their second or third year of study: Without any doubt, this text is also very suitable for private study and exam preparation of undergraduates.""Werner Kleinert in: Zentralblatt MATH 10/2003"