1. Numbers; 2. Groups; 3. Rings; 4. Polynomials; 5. Gröbner bases.
This book presents abstract algebra based on concrete examples and applications. All the traditional material with exciting directions.
'I highly recommend this book ... If you are looking for a solid introduction to the topic of abstract algebra, this is the book for you.' Computing Reviews 'A very useful book, which emphazises the relation between number theory and algebra offering also a very comprehensible introduction to a relatively new branch of algebra.' Monatshefte fur Mathematik '... this textbook is absolutely self-contained, with the prerequisites kept to a minimum. The exposition is perfectly lucid, rigorous, detailed and user-friendly, which makes the book also suitable for private study. In summary, this is a highly interesting and original textbook on basic abstract algebra, with many topical extras and didactic novelties. It is perfectly suited for beginners in the field...' Werner Kleinert, Zentralblatt MATH 'Unlike many books on abstract algebra, this one is written in a very lively style, with emphasis on illuminating examples and applications. This makes the book a valuable addition to undergraduate literature on this topical subject.' EMS Newsletter
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