This textbook is an introduction to Scientific Computing, illustrating several numerical methods for the computer solution of certain classes of mathematical problems. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the presentation concrete and appealing, the book adopts Matlab and the freeware Octave, as faithful companions throughout. The book includes complete solutions to several problems - often originating from specific applications - posed in exercises and examples. A new section is devoted to subjects which were not addressed in the first edition and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as additional numerical methods for linear and nonlinear systems, and ordinary and partial differential equations.

Klappentext

This introduction to Scientific Computing illustrates several numerical methods for the computer solution of certain classes of mathematical problems. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of differential equations. To make the presentation concrete, the programming environment Matlab is adopted as a faithful companion.