LEADER 01180nam a2200253 a 4500 001 991003959989707536 008 081023s 000 0 eng d 035 $ab13777750-39ule_inst 040 $aDip.to Filologia Ling. e Lett.$bita 245 10$aPalermo, la Sicilia e gli Arabi :$bil paese cui la colomba presto il suo collare e che il pavone vesti dal manto screziato delle sue penne /$cacura di Lorenzo Zichichi e Norberto G. Kuri ; loggiato San Bartolomeo Palermo 260 $aRoma :$bIl Cigno ;/cc2004 300 $a151 p. :$bill. ;$c31 cm 440 0$aGli Orizzonti 500 $aInclude bibliografia e indice dei nomi 500 $aIn testa al front.: Provincia Regionale di Palermo 650 4$aArabi 700 1 $aZichichi, Lorenzo$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0552971 700 1 $aKuri, Noberto G. 907 $a.b13777750$b09-03-22$c23-10-08 912 $a991003959989707536 945 $aLE008 FL.M. (f.r.) XXIV 265$g1$i2008000342500$lle008$nColuccia$o-$pE0.00$q-$rl$s- $t0$u1$v0$w1$x0$y.i14863273$z23-10-08 996 $aPalermo, la Sicilia e gli Arabi$91464781 997 $aUNISALENTO 998 $ale008$b23-10-08$cm$da $e-$fita$git $h0$i0 LEADER 03095nam 22004935 450 001 9910254071203321 005 20200704082735.0 010 $a3-319-45285-1 024 7 $a10.1007/978-3-319-45285-2 035 $a(CKB)3710000001006484 035 $a(DE-He213)978-3-319-45285-2 035 $a(MiAaPQ)EBC6315791 035 $a(MiAaPQ)EBC5577672 035 $a(Au-PeEL)EBL5577672 035 $a(OCoLC)1066197180 035 $a(PPN)197140939 035 $a(EXLCZ)993710000001006484 100 $a20161125d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgebra I $eTextbook for Students of Mathematics /$fby Alexey L. Gorodentsev 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XX, 564 p. 79 illus., 42 illus. in color.) 311 $a3-319-45284-3 320 $aIncludes bibliographical references and index. 327 $aNotations and Abbreviations -- 1 Set-Theoretic and Combinatorial Background -- 2 Integers and Residues -- 3 Polynomials and Simple Field Extensions -- 4 Elementary Functions and Power Series Expansions -- 5 Ideals, Quotient Rings, and Factorization -- 6 Vectors -- 7 Duality -- 8 Matrices -- 9 Determinants -- 10 Euclidean Spaces -- 11 Projective Spaces -- 12 Groups -- 13 Description of Groups -- 14 Modules over a Principal Ideal Domain -- 15 Linear Operators -- 16 Bilinear Forms -- 17 Quadratic Forms and Quadrics -- 18 Real Versus Complex -- 19 Hermitian Spaces -- 20 Quaternions and Spinors -- References -- Hints to Selected Exercises -- Index. 330 $aThis book is the first volume of an intensive ?Russian-style? two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures ? fields, rings, modules, algebras, groups, and categories ? and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry ? topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study. 606 $aAlgebra 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 615 0$aAlgebra. 615 14$aAlgebra. 676 $a512 700 $aGorodentsev$b Alexey L$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755813 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254071203321 996 $aAlgebra I$91523128 997 $aUNINA