LEADER 03407nam 2200589 450 001 9910464071603321 005 20200520144314.0 010 $a3-11-034086-0 024 7 $a10.1515/9783110340877 035 $a(CKB)2670000000618180 035 $a(EBL)2056390 035 $a(OCoLC)910447167 035 $a(DE-B1597)245582 035 $a(OCoLC)979745677 035 $a(DE-B1597)9783110340877 035 $a(MiAaPQ)EBC2056390 035 $a(PPN)187994870 035 $a(Au-PeEL)EBL2056390 035 $a(CaPaEBR)ebr11059866 035 $a(CaONFJC)MIL788191 035 $a(EXLCZ)992670000000618180 100 $a20150611h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAbstract algebra $ean introduction with applications /$fDerek J. S. Robinson 205 $aSecond edition. 210 1$aBerlin, Germany ;$aBoston, Massachusetts :$cDe Gruyter,$d2015. 210 4$dİ2015 215 $a1 online resource (337 p.) 225 0 $aDe Gruyter Textbook 300 $aDescription based upon print version of record. 311 $a3-11-034087-9 311 $a3-11-038560-0 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPreface -- $tContents -- $t1 Sets, relations and functions -- $t2 The integers -- $t3 Introduction to groups -- $t4 Quotient groups and homomorphisms -- $t5 Groups acting on sets -- $t6 Introduction to rings -- $t7 Division in commutative rings -- $t8 Vector spaces -- $t9 Introduction to modules -- $t10 The Structure of groups -- $t11 The Theory of fields -- $t12 Galois Theory -- $t13 Tensor products -- $t14 Further topics -- $tBibliography -- $tList of symbols -- $tIndex 330 $aThis is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe, and should ease the transition to (post)graduate studies. 410 3$aDe Gruyter Textbook 606 $aAlgebra, Abstract$vTextbooks 608 $aElectronic books. 615 0$aAlgebra, Abstract 676 $a512/.02 700 $aRobinson$b Derek John Scott$050208 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910464071603321 996 $aAbstract algebra$92490220 997 $aUNINA