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00000nam a22000005i 4500 |
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140902s2014 gw | s |||| 0|eng d |
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|a 9783662435113
|9 978-3-662-43511-3
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|a 10.1007/978-3-662-43511-3
|2 doi
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|a QA71-90
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|a PBKS
|2 bicssc
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|a MAT006000
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|a PBKS
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|a 518
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|a Lyche, Tom.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Exercises in Computational Mathematics with MATLAB
|h [electronic resource] /
|c by Tom Lyche, Jean-Louis Merrien.
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|a 1st ed. 2014.
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264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2014.
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300 |
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|a XII, 372 p. 136 illus., 90 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Problem Books in Mathematics,
|x 2197-8506
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|a 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.
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|a 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.
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|a Mathematics-Data processing.
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|a Algebras, Linear.
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|a Engineering mathematics.
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650 |
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|a Engineering-Data processing.
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650 |
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|a Approximation theory.
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650 |
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|a Mathematics.
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|a Computer-aided engineering.
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|a Computational Mathematics and Numerical Analysis.
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|a Linear Algebra.
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650 |
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4 |
|a Mathematical and Computational Engineering Applications.
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650 |
2 |
4 |
|a Approximations and Expansions.
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650 |
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|a Applications of Mathematics.
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650 |
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|a Computer-Aided Engineering (CAD, CAE) and Design.
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700 |
1 |
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|a Merrien, Jean-Louis.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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710 |
2 |
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|a SpringerLink (Online service)
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773 |
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|t Springer Nature eBook
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776 |
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|i Printed edition:
|z 9783662435106
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776 |
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|i Printed edition:
|z 9783662435120
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776 |
0 |
8 |
|i Printed edition:
|z 9783662524008
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830 |
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|a Problem Books in Mathematics,
|x 2197-8506
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856 |
4 |
0 |
|u https://doi.uam.elogim.com/10.1007/978-3-662-43511-3
|z Texto Completo
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912 |
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|a ZDB-2-SMA
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912 |
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|a ZDB-2-SXMS
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950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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