LEADER 00978nam0-22003371i-450- 001 990000035940403321 005 20161027115800.0 035 $a000003594 035 $aFED01000003594 035 $a(Aleph)000003594FED01 035 $a000003594 100 $a20020821d1967----km-y0itay50------ba 101 0 $aeng 105 $ay-------001yy 200 1 $aState functions and linear control systems$fDonald G. Schultz , James L. Melsa 210 $aNew York$cMcGraw-Hill book company$d1967 215 $aXI, 435 p.$cill.$d23 cm 225 1 $aMcGraw-Hill series in electronic systems 676 $a629.832 700 1$aSchultz,$bDonald G. 702 1$aMelsa,$bJames L. 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990000035940403321 952 $a13 P 32 29$b29086$fFINBC 952 $a10 D III 772$b5382$fDINEL 952 $a13 P 32 28$b29085$fFINBC 952 $a13 P 32 30$b29084$fFINBC 959 $aFINBC 959 $aDINEL 997 $aUNINA LEADER 03248nam 22005415 450 001 9910480731603321 005 20200704120811.0 010 $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$b[electronic resource] /$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 $aUniversitext,$x0172-5939 300 $aBibliographic Level Mode of Issuance: Monograph 311 $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,$x0172-5939 606 $aMatrix theory 606 $aAlgebra 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 615 0$aMatrix theory. 615 0$aAlgebra. 615 14$aLinear and Multilinear Algebras, Matrix Theory. 676 $a512/.5 700 $aCurtis$b Morton L$4aut$4http://id.loc.gov/vocabulary/relators/aut$045893 906 $aBOOK 912 $a9910480731603321 996 $aAbstract linear algebra$9382827 997 $aUNINA