LEADER 00723nam0-22002771i-450- 001 990004113160403321 005 19990530 035 $a000411316 035 $aFED01000411316 035 $a(Aleph)000411316FED01 035 $a000411316 100 $a19990530d1962----km-y0itay50------ba 101 0 $afre 105 $ay-------00-y- 200 1 $aPolitique$fAlain 205 $a2a ed. 210 $aParis$cPresses Universitaires de France$d1962 215 $aXII, 338 p.$d19 cm 700 1$aAlain$f<1868-1951>$0159674 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990004113160403321 952 $aFIL.TEOR.1582$bIST.FIL.T.644$fFLFBC 959 $aFLFBC 996 $aPolitique$9478255 997 $aUNINA LEADER 02994nam 22005895 450 001 9910508476403321 005 20251107173455.0 010 $a981-16-6365-3 024 7 $a10.1007/978-981-16-6365-9 035 $a(MiAaPQ)EBC6803005 035 $a(Au-PeEL)EBL6803005 035 $a(CKB)19410594700041 035 $a(OCoLC)1285253078 035 $a(PPN)258845155 035 $a(DE-He213)978-981-16-6365-9 035 $a(EXLCZ)9919410594700041 100 $a20211110d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA First Course in Group Theory /$fby Bijan Davvaz 205 $a1st ed. 2021. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2021. 215 $a1 online resource (300 pages) 225 1 $aMathematics and Statistics Series 311 08$aPrint version: Davvaz, Bijan A First Course in Group Theory Singapore : Springer Singapore Pte. Limited,c2021 9789811663642 327 $aPreliminaries Notions -- Symmetries of Shapes -- Binary Operations -- Cyclic Groups -- Inverse Functions and Permutations -- Group of Arithmetical Functions -- Matrix Groups -- Translation and Scaling Matrices -- Cosets of Subgroups and Lagrange?s Theorem -- Normal Subgroups and Factor Groups -- Some Special Subgroups -- Commutators and Derived Subgroups -- Maximal Subgroups -- Group Homomorphisms -- Homomorphisms and Their Properties -- Cayley?s Theorem -- Another View of Linear Groups. 330 $aThis textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange?s theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader. 410 0$aMathematics and Statistics Series 606 $aGroup theory 606 $aNumber theory 606 $aAlgebras, Linear 606 $aGroup Theory and Generalizations 606 $aNumber Theory 606 $aLinear Algebra 615 0$aGroup theory. 615 0$aNumber theory. 615 0$aAlgebras, Linear. 615 14$aGroup Theory and Generalizations. 615 24$aNumber Theory. 615 24$aLinear Algebra. 676 $a512.2 700 $aDavvaz$b Bijan$0739795 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910508476403321 996 $aA First Course in Group Theory$92483105 997 $aUNINA