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 LEADER 02404nam 22007455 450 001 9910959910503321 005 20240508214848.0 010 $a9781137531070 (ebook) 010 $a9781349506828 010 $a1349506826 010 $a9781137531070 010 $a113753107X 010 $a9781137531063 010 $a1137531061 024 7 $a10.1057/9781137531070 035 $a(CKB)2670000000616480 035 $a(DE-He213)978-1-137-53107-0 035 $a(MiAaPQ)EBC4001344 035 $a(Perlego)3488846 035 $a(EXLCZ)992670000000616480 100 $a20151126d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLanguage Racism /$fby J. Weber 205 $a1st ed. 2015. 210 1$aLondon :$cPalgrave Macmillan UK :$cImprint: Palgrave Pivot,$d2015. 215 $a1 online resource (VIII, 130 p.) 225 1 $aPalgrave Pivot 320 $aIncludes bibliographical references and index. 330 $aThis book discusses a new breed of racism, namely language racism, which is spreading both in the USA and in Europe, as well as other parts of the world. The book is a manifesto promoting a more positive view of linguistic and cultural diversity. 410 0$aPalgrave pivot. 606 $aApplied linguistics 606 $aSocial policy 606 $aEmigration and immigration 606 $aLanguage policy 606 $aSociolinguistics 606 $aSocial structure 606 $aEquality 606 $aApplied Linguistics 606 $aSocial Policy 606 $aHuman Migration 606 $aLanguage Policy and Planning 606 $aSociolinguistics 606 $aSocial Structure 615 0$aApplied linguistics. 615 0$aSocial policy. 615 0$aEmigration and immigration. 615 0$aLanguage policy. 615 0$aSociolinguistics. 615 0$aSocial structure. 615 0$aEquality. 615 14$aApplied Linguistics. 615 24$aSocial Policy. 615 24$aHuman Migration. 615 24$aLanguage Policy and Planning. 615 24$aSociolinguistics. 615 24$aSocial Structure. 676 $a410 700 $aWeber$b J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0428589 912 $a9910959910503321 996 $aLanguage Racism$94329744 997 $aUNINA