This upper undergraduate abstract algebra text covers classical themes on groups, rings and fields in depth, augmented with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Grà bner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine.
This upper undergraduate abstract algebra text covers classical themes on groups, rings and fields in depth, augmented with a strong emphasis on irreducible polynomials, a fresh approach to modules and linear algebra, a fresh take on Grà bner theory, and a group theoretic treatment of Rejewski's deciphering of the Enigma machine.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
John W. Lawrence is Professor Emeritus at the University of Waterloo. He was born in Ottawa, Canada, and received degrees from Carleton University and McGill University. After a year of postdoctoral work at the University of Chicago, he joined the Pure Mathematics Department of the University of Waterloo. He now lives with his wife Louise, in Thornhill Canada, where he continues his research in mathematics and probability.
Inhaltsangabe
Contents Preface 1. A refresher on the integers 2. A first look at groups 3. Groups acting on sets 4. Basics on rings-mostly commutative 5. Primes and unique factorization 6. Algebraic field extensions 7. Applications of galois theory 8. Modules over principal ideal domains 9. Division algorithms Appendix A: Infinite sets.
Contents Preface 1. A refresher on the integers 2. A first look at groups 3. Groups acting on sets 4. Basics on rings-mostly commutative 5. Primes and unique factorization 6. Algebraic field extensions 7. Applications of galois theory 8. Modules over principal ideal domains 9. Division algorithms Appendix A: Infinite sets.
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