LEADER 04822nam 22008175 450 001 9910299979203321 005 20200629221816.0 010 $a0-8176-4636-1 024 7 $a10.1007/978-0-8176-4636-3 035 $a(CKB)3710000000269556 035 $a(SSID)ssj0001372612 035 $a(PQKBManifestationID)11866411 035 $a(PQKBTitleCode)TC0001372612 035 $a(PQKBWorkID)11305032 035 $a(PQKB)11419874 035 $a(DE-He213)978-0-8176-4636-3 035 $a(MiAaPQ)EBC6314551 035 $a(MiAaPQ)EBC5555091 035 $a(Au-PeEL)EBL5555091 035 $a(OCoLC)1059414846 035 $a(PPN)182090981 035 $a(EXLCZ)993710000000269556 100 $a20141014d2014 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aEssential Linear Algebra with Applications $eA Problem-Solving Approach /$fby Titu Andreescu 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (X, 491 p. 2 illus. in color.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-8176-4360-5 320 $aIncludes bibliographical references. 327 $aPreface -- Linear Phenomena and Euclidean Spaces of Small Dimension -- Concrete Vector Spaces -- Vector Spaces and Subspaces -- Linear Transformations -- More Matrix Algebra and Determinants -- General Theory of Linear Equations -- Eigenvectors -- Orthogonality -- Forms -- Vector Spaces over Finite Fields -- Appendix A: Complex Numbers -- Appendix B: Polynomials over Complex Numbers -- References -- Index.                                                                                                                                     . 330 $aThis textbook provides a rigorous introduction to linear algebra in addition to material suitable for a more advanced course while emphasizing the subject?s interactions with other topics in mathematics such as calculus and geometry. A problem-based approach is used to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigenvectors, and orthogonality. Key features include: ? a thorough presentation of the main results in linear algebra along with numerous examples to illustrate the theory;  ? over 500 problems (half with complete solutions) carefully selected for their elegance and theoretical significance; ? an interleaved discussion of geometry and linear algebra, giving readers a solid understanding of both topics and the relationship between them.   Numerous exercises and well-chosen examples make this text suitable for advanced courses at the junior or senior levels. It can also serve as a source of supplementary problems for a sophomore-level course.     . 606 $aMatrix theory 606 $aAlgebra 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aGame theory 606 $aComputer science?Mathematics 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aMath Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17044 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aGame theory. 615 0$aComputer science?Mathematics. 615 14$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aAlgebra. 615 24$aApplications of Mathematics. 615 24$aGame Theory, Economics, Social and Behav. Sciences. 615 24$aMathematical and Computational Engineering. 615 24$aMath Applications in Computer Science. 676 $a512.5 686 $a31.12$2bcl 700 $aAndreescu$b Titu$4aut$4http://id.loc.gov/vocabulary/relators/aut$0285837 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299979203321 996 $aEssential linear algebra with applications$91410548 997 $aUNINA