LEADER 02983nam 22006734a 450 001 9910811452303321 005 20210615000722.0 010 $a1-282-19439-9 010 $a9786612194399 010 $a3-11-019816-9 024 7 $a10.1515/9783110198164 035 $a(CKB)1000000000335194 035 $a(EBL)314073 035 $a(OCoLC)179774394 035 $a(SSID)ssj0000182346 035 $a(PQKBManifestationID)11190177 035 $a(PQKBTitleCode)TC0000182346 035 $a(PQKBWorkID)10166185 035 $a(PQKB)11223381 035 $a(MiAaPQ)EBC314073 035 $a(DE-599)GBV587990139 035 $a(DE-B1597)32335 035 $a(OCoLC)979731127 035 $a(DE-B1597)9783110198164 035 $a(Au-PeEL)EBL314073 035 $a(CaPaEBR)ebr10194881 035 $a(OCoLC)567824926 035 $z(PPN)175535957 035 $a(PPN)140811095 035 $a(EXLCZ)991000000000335194 100 $a20021204d2003 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 13$aAn introduction to abstract algebra /$fDerek J.S. Robinson 205 $a2nd edition 210 $aNew York $cWalter de Gruyter$d2003 215 $a1 online resource (292 p.) 225 1 $aDe Gruyter textbook 300 $aDescription based upon print version of record. 311 0 $a3-11-017544-4 320 $aIncludes bibliographical references (p. [267]) and indexes. 327 $tFront matter --$tContents --$tChapter 1. Sets, relations and functions --$tChapter 2. The integers --$tChapter 3. Introduction to groups --$tChapter 4. Cosets, quotient groups and homomorphisms --$tChapter 5. Groups acting on sets --$tChapter 6. Introduction to rings --$tChapter 7. Division in rings --$tChapter 8. Vector spaces --$tChapter 9. The structure of groups --$tChapter 10. Introduction to the theory of fields --$tChapter 11. Galois theory --$tChapter 12. Further topics --$tBackmatter 330 $aThis is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further tha 410 0$aGruyter textbook. 606 $aAlgebra, Abstract 615 0$aAlgebra, Abstract. 676 $a512/.02 676 $a512.02 700 $aRobinson$b Derek John Scott$050208 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910811452303321 996 $aIntroduction to abstract algebra$9147612 997 $aUNINA