Introduction to Abstract Algebra by Jonathan D. H. Smith - 9781032921341

Introduction to Abstract AlgebraAuthor(s): Jonathan D. H. Smith\nFormat: Paperback\nPublisher: Taylor & Francis Ltd, United Kingdom\nImprint: Chapman & Hall/CRC\nISBN-13: 9781032921341, 978-1032921341\nSynopsis\nIntroduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathematics and the digital world. It avoids the usual groups first/rings first dilemma by introducing semigroups and monoids, the multiplicative structures of rings, along with groups.\n\nThis new edition of a widely adopted textbook covers applications from biology, science, and engineering. It offers numerous updates based on feedback from first edition adopters, as well as improved and simplified proofs of a number of important theorems. Many new exercises have been added, while new study projects examine skewfields, quaternions, and octonions.\n\nThe first three chapters of the book show how functional composition, cycle notation for permutations, and m.