03407nam 2200589 450 991046407160332120200520144314.03-11-034086-010.1515/9783110340877(CKB)2670000000618180(EBL)2056390(OCoLC)910447167(DE-B1597)245582(OCoLC)979745677(DE-B1597)9783110340877(MiAaPQ)EBC2056390(PPN)187994870(Au-PeEL)EBL2056390(CaPaEBR)ebr11059866(CaONFJC)MIL788191(EXLCZ)99267000000061818020150611h20152015 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierAbstract algebra an introduction with applications /Derek J. S. RobinsonSecond edition.Berlin, Germany ;Boston, Massachusetts :De Gruyter,2015.©20151 online resource (337 p.)De Gruyter TextbookDescription based upon print version of record.3-11-034087-9 3-11-038560-0 Includes bibliographical references and index.Frontmatter -- Preface -- Contents -- 1 Sets, relations and functions -- 2 The integers -- 3 Introduction to groups -- 4 Quotient groups and homomorphisms -- 5 Groups acting on sets -- 6 Introduction to rings -- 7 Division in commutative rings -- 8 Vector spaces -- 9 Introduction to modules -- 10 The Structure of groups -- 11 The Theory of fields -- 12 Galois Theory -- 13 Tensor products -- 14 Further topics -- Bibliography -- List of symbols -- IndexThis 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, and should ease the transition to (post)graduate studies. De Gruyter TextbookAlgebra, AbstractTextbooksElectronic books.Algebra, Abstract512/.02Robinson Derek John Scott50208MiAaPQMiAaPQMiAaPQBOOK9910464071603321Abstract algebra2490220UNINA