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What can' t be ignored -- 2. Nonlinear equations -- 3. Approximation of functions and data -- 4. Numerical differentiation and integration -- 5. Linear systems -- 6. Eigenvalues and eigenvectors -- 7. Numerical optimization -- 8. Ordinary differential equations -- 9. Numerical approximation of boundary-value problems -- 10. Solutions of the exercises -- References -- Index. 330 $aThis textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002. 410 0$aTexts in Computational Science and Engineering,$x1611-0994 606 $aComputer science$xMathematics 606 $aPhysics 606 $aComputational intelligence 606 $aChemistry, Physical and theoretical 606 $aMathematics 606 $aVisualization 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aTheoretical and Computational Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C25007 606 $aVisualization$3https://scigraph.springernature.com/ontologies/product-market-codes/M14034 615 0$aComputer science$xMathematics. 615 0$aPhysics. 615 0$aComputational intelligence. 615 0$aChemistry, Physical and theoretical. 615 0$aMathematics. 615 0$aVisualization. 615 14$aComputational Science and Engineering. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aComputational Intelligence. 615 24$aTheoretical and Computational Chemistry. 615 24$aVisualization. 676 $a004 700 $aQuarteroni$b Alfio$4aut$4http://id.loc.gov/vocabulary/relators/aut$08375 702 $aSaleri$b Fausto$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aGervasio$b Paola$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300145103321 996 $aScientific Computing with MATLAB and Octave$92544355 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress