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.
"
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