This book is an excellent and self-contained introduction to the theory of groups, covering all topics likely to be encountered in undergraduate courses. In recent years there has been a great deal of research in group theory and a large number of books have been published. However, most of these are aimed at the postgraduate market and a good introductory text is hard to find. This book aims to fill the gap in the market by providing a comprehensive and clear introduction to the subject. It is written to stimulate and encourage undergraduates (and first year graduates) to further study, and contains numerous worked examples and exercises. This book is intended for first, second and third year undergraduates and first year postgraduates studying group theory.
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The arguments are clear and full proofs are given. ... The whole text is actually built up around the idea of classification theorems. The inherent limitations of such an approach put aside, such glimpses of a distant horizon can do a lot towards stimulating the students to find more about the subject for themselves. (M Deaconescu, Zentralblatt fur Mathematik, Band 843/96.)
Clear and fast moving, as you'd expect from this author. (New Scientist, Ian Stewart, September 1996,)
John Humphreys is at University of Liverpool.
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