LEADER 01411nam 2200481 450 001 9910466045303321 005 20200520144314.0 010 $a3-86945-928-X 035 $a(CKB)3710000000770259 035 $a(EBL)4605526 035 $a(MiAaPQ)EBC4605526 035 $a(Au-PeEL)EBL4605526 035 $a(CaPaEBR)ebr11264232 035 $a(CaONFJC)MIL941276 035 $a(OCoLC)953847976 035 $a(EXLCZ)993710000000770259 100 $a20160927h20162016 uy 0 101 0 $ager 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aHeilige qual und die Lust am Schmerz $espiritualita?t und sadomasochismus /$fPeter Kaiser 210 1$aNordhausen, [Germany] :$cVerlag Traugott Bautz GmbH,$d2016. 210 4$dİ2016 215 $a1 online resource (285 p.) 300 $aDescription based upon print version of record. 311 $a3-95948-129-2 320 $aIncludes bibliographical references and index. 606 $aSadomasochism 606 $aSpirituality 608 $aElectronic books. 615 0$aSadomasochism. 615 0$aSpirituality. 676 $a306.775 700 $aKaiser$b Peter$0381099 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910466045303321 996 $aHeilige qual und die Lust am Schmerz$92064290 997 $aUNINA LEADER 04233nam 22006255 450 001 9910962004203321 005 20250811101002.0 010 $a1-4612-0901-3 024 7 $a10.1007/978-1-4612-0901-0 035 $a(CKB)3400000000089313 035 $a(SSID)ssj0001297406 035 $a(PQKBManifestationID)11739645 035 $a(PQKBTitleCode)TC0001297406 035 $a(PQKBWorkID)11362436 035 $a(PQKB)11175862 035 $a(DE-He213)978-1-4612-0901-0 035 $a(MiAaPQ)EBC3074003 035 $a(PPN)238032906 035 $a(EXLCZ)993400000000089313 100 $a20121227d1993 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aLinear Algebra $eAn Introduction to Abstract Mathematics /$fby Robert J. Valenza 205 $a1st ed. 1993. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1993. 215 $a1 online resource (XVIII, 237 p.) 225 1 $aUndergraduate Texts in Mathematics,$x2197-5604 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a0-387-94099-5 311 08$a1-4612-6940-7 320 $aIncludes bibliographical references and index. 327 $a1 Sets and Functions -- 1.1 Notation and Terminology -- 1.2 Composition of Functions -- 1.3 Inverse Functions -- 1.4 Digression on Cardinality -- 1.5 Permutations -- Exercises -- 2 Groups and Group Homomorphisms -- 2.1 Groups and Subgroups -- 2.2 Group Homomorphisms -- 2.3 Rings and Fields -- Exercises -- 3 Vector Spaces and Linear Transformations -- 3.1 Vector Spaces and Subspaces -- 3.2 Linear Transformations -- 3.3 Direct Products and Internal Direct Sums -- Exercises -- 4 Dimension -- 4.1 Bases and Dimension -- 4.2 Vector Spaces Are Free -- 4.3 Rank and Nullity -- Exercises -- 5 Matrices -- 5.1 Notation and Terminology -- 5.2 Introduction to Linear Systems -- 5.3 Solution Techniques -- 5.4 Multiple Systems and Matrix Inversion -- Exercises -- 6 Representation of Linear Transformations -- 6.1 The Space of Linear Transformations -- 6.2 The Representation of Hom(kn,km) -- 6.3 The Representation of Hom(V,V?) -- 6.4 The Dual Space -- 6.5 Change of Basis -- Exercises -- 7 Inner Product Spaces -- 7.1 Real Inner Product Spaces -- 7.2 Orthogonal Bases and Orthogonal Projection -- 7.3 Complex Inner Product Spaces -- Exercises -- 8 Determinants -- 8.1 Existence and Basic Properties -- 8.2 A Nonrecursive Formula; Uniqueness -- 8.3 The Determinant of a Product; Invertibility -- Exercises -- 9 Eigenvalues and Eigenvectors -- 9.1 Definitions and Elementary Properties -- 9.2 Hermitian and Unitary Transformations -- 9.3 Spectral Decomposition -- Exercises -- 10 Triangulation and Decomposition of Endomorphisms -- 10.1 The Cayley-Hamilton Theorem -- 10.2 Triangulation of Endomorphisms -- 10.3 Decomposition by Characteristic Subspaces -- 10.4 Nilpotent Mappings and the Jordan Normal Form -- Exercises -- Supplementary Topics -- 1 Differentiation -- 2 The Determinant Revisited -- 3 Quadratic Forms -- 4 An Introduction to Categories and Functors. 330 $aBased on lectures given at Claremont McKenna College, this text constitutes a substantial, abstract introduction to linear algebra. The presentation emphasizes the structural elements over the computational - for example by connecting matrices to linear transformations from the outset - and prepares the student for further study of abstract mathematics. Uniquely among algebra texts at this level, it introduces group theory early in the discussion, as an example of the rigorous development of informal axiomatic systems. 410 0$aUndergraduate Texts in Mathematics,$x2197-5604 606 $aAlgebra 606 $aAlgebras, Linear 606 $aAlgebra 606 $aLinear Algebra 615 0$aAlgebra. 615 0$aAlgebras, Linear. 615 14$aAlgebra. 615 24$aLinear Algebra. 676 $a512 686 $a15-01$2msc 700 $aValenza$b Robert J$4aut$4http://id.loc.gov/vocabulary/relators/aut$054714 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962004203321 996 $aLinear algebra$983097 997 $aUNINA