Item description for An Introduction to Abstract Algebra (De Gruyter Textbook) by Derek J. S. Robinson...
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.
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Est. Packaging Dimensions: Length: 9.38" Width: 6.7" Height: 0.66" Weight: 1.22 lbs.
Publisher Walter de Gruyter
ISBN 3110175444 ISBN13 9783110175448
Reviews - What do customers think about An Introduction to Abstract Algebra (De Gruyter Textbook)?
Compact introduction to algebra Feb 16, 2008
The first thing to not about this book is that it is dense. In my abstract algebra course we covered chapters 3-5 in an entire semester. However, it contained every proof we needed in class, and although it reads slowly, it was usually crystal-clear. Especially good is its treatment of group actions, which is sometimes lacking in introductory-level algebra books. There is a lot of additional material -- the author recommends covering chapters 1-7 in one semester, which may be feasible at institutions like MIT, but for the majority of students, the information contained in this book would be more than a year's worth. Chapter 8 contains almost a semester's worth of advanced linear algebra. Sometimes I wish there were a few more exercises in each chapter; especially in the beginning, because the proofs were relatively easy, it seemed like there wasn't a good enough selection of topics. The book is mercifully cheap, but even though it's paperback, it's very sturdy, and for such a low-cost choice, it has tons of content. Recommended.