LEADER 05311nam 22008535 450 001 9910299989303321 005 20200702114854.0 010 $a3-662-43511-X 024 7 $a10.1007/978-3-662-43511-3 035 $a(CKB)3710000000228760 035 $a(SSID)ssj0001354124 035 $a(PQKBManifestationID)11743656 035 $a(PQKBTitleCode)TC0001354124 035 $a(PQKBWorkID)11322615 035 $a(PQKB)11526247 035 $a(DE-He213)978-3-662-43511-3 035 $a(MiAaPQ)EBC6310596 035 $a(MiAaPQ)EBC5584993 035 $a(Au-PeEL)EBL5584993 035 $a(OCoLC)890911775 035 $a(PPN)180802461 035 $a(EXLCZ)993710000000228760 100 $a20140902d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aExercises in Computational Mathematics with MATLAB /$fby Tom Lyche, Jean-Louis Merrien 205 $a1st ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (XII, 372 p. 136 illus., 90 illus. in color.) 225 1 $aProblem Books in Mathematics,$x0941-3502 300 $aIncludes index. 311 $a3-662-43510-1 327 $a1 An Introduction to MATLAB commands -- 2 Matrices and Linear Systems -- 3 Matrices, Eigenvalues and Eigenvectors -- 4 Matrices, Norms and Conditioning -- 5 Iterative Methods -- 6 Polynomial Interpolation -- 7 Bézier Curves and Bernstein Polynomials -- 8 Piecewise Polynomials, Interpolation and Applications -- 9 Approximation of Integrals -- 10 Linear Least Squares Methods -- 11 Continuous and Discrete Approximations -- 12 Ordinary Differential Equations, One Step Methods -- 13 Finite Differences for differential and partial differential equations -- References -- Index of Names -- Subject Index -- MATLAB Index. 330 $aDesigned to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.   Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs.   The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and  important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of  functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations.   The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming. 410 0$aProblem Books in Mathematics,$x0941-3502 606 $aComputer mathematics 606 $aMatrix theory 606 $aAlgebra 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aApproximation theory 606 $aComputer-aided engineering 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aComputer-Aided Engineering (CAD, CAE) and Design$3https://scigraph.springernature.com/ontologies/product-market-codes/I23044 615 0$aComputer mathematics. 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aApproximation theory. 615 0$aComputer-aided engineering. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aMathematical and Computational Engineering. 615 24$aApproximations and Expansions. 615 24$aApplications of Mathematics. 615 24$aComputer-Aided Engineering (CAD, CAE) and Design. 676 $a620.00151 700 $aLyche$b Tom$4aut$4http://id.loc.gov/vocabulary/relators/aut$060177 702 $aMerrien$b Jean-Louis$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299989303321 996 $aExercises in Computational Mathematics with MATLAB$92528335 997 $aUNINA