LEADER 01182nam--2200313---450- 001 990000411430203316 035 $a0041143 035 $aUSA010041143 035 $a(ALEPH)000041143USA01 035 $a0041143 100 $a20010423d--------km-y0itay0103----ba 101 $alat 102 $aIT 105 $a||||||||001yy 200 1 $aPontani, Actuis de numeris poeticis et lege historiae, Aegidius multiplicis argumenti. Tertius dialogus de ingratitudine, qui Asinus inscribit 210 $aS.l.$cS.n.t.$dS.d. 215 $a[68] c.$d4°(20,5x28,5 cm) 310 $aLeg. in pergamena 316 $aRilegato con: Pontani de bello Neapolitano et de sermone..., Pontani de sermone et de bello Neapolitano... 700 1$aPONTANO,$bGiovanni Gioviano$0437066 912 $a990000411430203316 951 $aF.V. 102-104$cF.V. 959 $aBK 969 $aVENTIMIGLIA 979 $aPAOLA$b40$c20010423$lUSA01$h1016 979 $c20020403$lUSA01$h1649 979 $aPATRY$b90$c20040406$lUSA01$h1629 996 $aPontani, Actuis de numeris poeticis et lege historiae, Aegidius multiplicis argumenti. Tertius dialogus de ingratitudine, qui Asinus inscribit$9874753 997 $aUNISA LEADER 03146nam 22005655 450 001 9910957357503321 005 20250818102529.0 010 $a1-4419-8764-9 024 7 $a10.1007/978-1-4419-8764-8 035 $a(CKB)3400000000087753 035 $a(SSID)ssj0000804962 035 $a(PQKBManifestationID)11468622 035 $a(PQKBTitleCode)TC0000804962 035 $a(PQKBWorkID)10823485 035 $a(PQKB)11205074 035 $a(DE-He213)978-1-4419-8764-8 035 $a(MiAaPQ)EBC3073970 035 $a(PPN)238012816 035 $a(EXLCZ)993400000000087753 100 $a20121227d1990 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAbstract Linear Algebra /$fby Morton L. Curtis 205 $a1st ed. 1990. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1990. 215 $a1 online resource (X, 168 p. 1 illus.) 225 1 $aUniversitext,$x2191-6675 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a0-387-97263-3 320 $aIncludes bibliographical references and index. 327 $a0. Algebraic Preliminaries -- I. Vector Spaces and Linear Maps -- A. Vector Spaces -- B. Linear Maps -- C. Bases, Dimension -- D. Direct Sums, Quotients -- E. Eigenvectors and Eigenvalues (Part i) -- F. Dual Spaces -- II. Matrices and Determinants -- A. Matrices -- B. Algebras -- C. Determinants, the Laplace Expansion -- D. Inverses, Systems of Equations -- E. Eigenvalues (Part ii) -- III. Rings and Polynomials -- A. Rings -- B. Polynomials -- C. Cayley-Hamilton Theorem -- D. Spectral Theorems -- E. Jordan Form -- IV. Inner Product Spaces -- A. Rn as a Model, Bilinear Forms -- B. Real Inner Product Spaces, Normed Vector Spaces -- C. Complex Inner Product Spaces -- D. Orthogonal and Unitary Groups -- E. Stable Subspaces for Unitary and Orthogonal Groups -- V. Normed Algebras -- A. The Normed Algebras R and C -- B. Some General Results, Quaternions -- C. Alternative and Division Algebras -- D. Cayley-Dickson Process, Hurwitz Theorem. 330 $aBeginning from scratch and developing the standard topics of Linear Algebra, this book is intended as a text for a first course on the subject. The goal to which this work leads is the Theorem of Hurwitz - that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quaternions, and the octonions. Unique in presenting this material at an elementary level, the book stresses the complete logical development of the subject and will provide a bavuable reference for mathematicians in general. 410 0$aUniversitext,$x2191-6675 606 $aAlgebras, Linear 606 $aLinear Algebra 615 0$aAlgebras, Linear. 615 14$aLinear Algebra. 676 $a512/.5 700 $aCurtis$b Morton L$4aut$4http://id.loc.gov/vocabulary/relators/aut$045893 701 $aPlace$b Paul$01846287 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910957357503321 996 $aAbstract Linear Algebra$94430496 997 $aUNINA