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Scientific Computing with MATLAB and Octave
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Scientific Computing with MATLAB and Octave Alfio Quarteroni, Fausto Saleri Springer, 2007年6月21日 Review From the reviews of the third edition: “This carefully written textbook is the third English edition and contains substantial new developments on the numerical solution of differential equations. … it is written in a style that is 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.” (Robert Plato, Zentralblatt MATH, Vol. 1205, 2011) 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 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 programming environments Matlab and Octave, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book 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 more numerical methods for linear and nonlinear systems and ordinary and partial differential equations. This book is presently being translated or has appeared in the following languages: Italian, German, French, Chinese and Spanish. Table of contents (10 chapters) Front Matter Pages I-XVIII Book Chapter Pages 1-40 What can’t be ignored Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 41-76 Nonlinear equations Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 77-111 Approximation of functions and data Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 113-136 Numerical differentiation and integration Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 137-191 Linear systems Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 193-211 Eigenvalues and eigenvectors Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 213-269 Numerical optimization Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 271-328 Ordinary differential equations Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 329-376 Numerical approximation of boundary-value problems Alfio Quarteroni, Fausto Saleri, Paola Gervasio Book Chapter Pages 377-428 Solutions of the exercises Alfio Quarteroni, Fausto Saleri, Paola Gervasio Back Matter Pages 429-450  捕获.JPG |
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