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001			21682546
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005			20220106022454.0
006			m |o d |
007			cr |||||||||||
008			140902s2014 gw |||| o |||| 0|eng
010			_a 2019748783
020			_a9783662435113
024	7		_a10.1007/978-3-662-43511-3 _2doi
035			_a(DE-He213)978-3-662-43511-3
040			_aDLC _beng _epn _erda _cDLC
072		7	_aMAT006000 _2bisacsh
072		7	_aPBKS _2bicssc
072		7	_aPBKS _2thema
082	0	4	_a518 _223
100	1		_aLyche, Tom. _eauthor.
245	1	0	_aExercises in Computational Mathematics with MATLAB / _cby Tom Lyche, Jean-Louis Merrien.
250			_a1st ed. 2014.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2014.
300			_a1 online resource (XII, 372 pages 136 illustrations, 90 illustrations in color.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProblem Books in Mathematics, _x0941-3502
505	0		_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.
520			_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.
588			_aDescription based on publisher-supplied MARC data.
650		0	_aAlgebra.
650		0	_aApplied mathematics.
650		0	_aApproximation theory.
650		0	_aComputer mathematics.
650		0	_aComputer-aided engineering.
650		0	_aEngineering mathematics.
650		0	_aMatrix theory.
650	1	4	_aComputational Mathematics and Numerical Analysis. _0https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
650	2	4	_aApplications of Mathematics. _0https://scigraph.springernature.com/ontologies/product-market-codes/M13003
650	2	4	_aApproximations and Expansions. _0https://scigraph.springernature.com/ontologies/product-market-codes/M12023
650	2	4	_aComputer-Aided Engineering (CAD, CAE) and Design. _0https://scigraph.springernature.com/ontologies/product-market-codes/I23044
650	2	4	_aLinear and Multilinear Algebras, Matrix Theory. _0https://scigraph.springernature.com/ontologies/product-market-codes/M11094
650	2	4	_aMathematical and Computational Engineering. _0https://scigraph.springernature.com/ontologies/product-market-codes/T11006
700	1		_aMerrien, Jean-Louis. _eauthor.
776	0	8	_iPrint version: _tExercises in computational mathematics with Matlab _z9783662435106 _w(DLC) 2014948729
776	0	8	_iPrinted edition: _z9783662435106
776	0	8	_iPrinted edition: _z9783662435120
776	0	8	_iPrinted edition: _z9783662524008
830		0	_aProblem Books in Mathematics, _x0941-3502
906			_a0 _bibc _corigres _du _encip _f20 _gy-gencatlg
942			_2ddc _cBK
999			_c449064 _d449064