EAN: 9783110686104

ABSTRACT ALGEBRA - DEREK JS ROBINSON KARTONIERT...

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.

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