Scientific Computing with MATLAB

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how tonbsp;compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for thenbsp;solution of differential equations. To make the presentation concrete and appealing, the programming environmentnbsp;Matlab is adopted as a faithful companion. All the algorithms introduced throughout the booknbsp;are shown, thus furnishing an immediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. The book also contains the solution to several problemsnbsp;raised through exercises and examples, oftennbsp;originating from specific applications. A specific section is devotednbsp;to subjectsnbsp;which were not addressed in the book andnbsp;indicatenbsp;the bibliographical references for a more comprehensive treatment of the material. nbsp;nbsp;nbsp;nbsp;nbsp;nbsp;