05329nam 22008535 450 991029998930332120200702114854.03-662-43511-X10.1007/978-3-662-43511-3(CKB)3710000000228760(SSID)ssj0001354124(PQKBManifestationID)11743656(PQKBTitleCode)TC0001354124(PQKBWorkID)11322615(PQKB)11526247(DE-He213)978-3-662-43511-3(MiAaPQ)EBC6310596(MiAaPQ)EBC5584993(Au-PeEL)EBL5584993(OCoLC)890911775(PPN)180802461(EXLCZ)99371000000022876020140902d2014 u| 0engurnn|008mamaatxtccrExercises in Computational Mathematics with MATLAB /by Tom Lyche, Jean-Louis Merrien1st ed. 2014.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2014.1 online resource (XII, 372 p. 136 illus., 90 illus. in color.) Problem Books in Mathematics,0941-3502Includes index.3-662-43510-1 1 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.Designed 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.Problem Books in Mathematics,0941-3502Computer scienceMathematicsMatrix theoryAlgebraApplied mathematicsEngineering mathematicsApproximation theoryComputer-aided engineeringComputational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XLinear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Approximations and Expansionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12023Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Computer-Aided Engineering (CAD, CAE) and Designhttps://scigraph.springernature.com/ontologies/product-market-codes/I23044Computer scienceMathematics.Matrix theory.Algebra.Applied mathematics.Engineering mathematics.Approximation theory.Computer-aided engineering.Computational Mathematics and Numerical Analysis.Linear and Multilinear Algebras, Matrix Theory.Mathematical and Computational Engineering.Approximations and Expansions.Applications of Mathematics.Computer-Aided Engineering (CAD, CAE) and Design.620.00151Lyche Tomauthttp://id.loc.gov/vocabulary/relators/aut60177Merrien Jean-Louisauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299989303321Exercises in Computational Mathematics with MATLAB2528335UNINA