EAN: 9783110340860

TEXTBOOK ABSTRACT ALGEBRA - DEREK J S ROBINSO...

This is a high level introduction to abstract algebra which is aimed at readers whose interests
lie in mathematics and in the information and physical sciences. In addition to introducing the
main concepts of modern algebra  the book contains numerous applications  which are intended to
illustrate the concepts and to convince the reader of the utility and relevance of algebra
today. In particular applications to Polya coloring theory  latin squares  Steiner systems and
error correcting codes are described. Another feature of the book is that group theory and ring
theory are carried further than is often done at this level. There is ample material here for a
two semester course in abstract algebra. The importance of proof is stressed and rigorous
proofs of almost all results are given. But care has been taken to lead the reader through the
proofs by gentle stages. There are nearly 400 problems  of varying degrees of difficulty  to
test the reader's skill and progress. The book should be suitable for students in the third or
fourth year of study at a North American university or in the second or third year at a
university in Europe  and should ease the transition to (post)graduate studies.

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