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Mathematics - Computational Science & Engineering | Scientific Computing with MATLAB and Octave

Scientific Computing with MATLAB and Octave

Quarteroni, Alfio, Saleri, Fausto, Gervasio, Paola

4th ed. 2014, XVIII, 442 p.

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  • Offers a combination of problems, algorithms, programs, exercises, illustrations and numerical solutions
  • Includes 100 examples, 145 solved exercises and 43 Matlab and Octave programs
  • Each chapter opens with representative problems and continues with construction and analysis of algorithms and ad-hoc programs for their implementation

This 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

Content Level » Lower undergraduate

Keywords » Matlab programming - Octave programming - numerical mathematics - scientific computing

Related subjects » Computational Intelligence and Complexity - Computational Science & Engineering - Theoretical, Mathematical & Computational Physics - Theoretical and Computational Chemistry

Table of contents 

1. 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.

Distribution rights 

Distribution rights for India: Researchco Book Centre, New Delhi, India

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