Scientific Computing with MATLAB and Octave
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Beschreibung
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 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.
Easy introduction to scientific computing Very suitable for the scientific computing part of the everywhere growing CSE courses Eminently suitable for physicists, chemists, engineers and other scientists who have to upgrade their knowledge on numerical methods Very successful book, was adopted for the basic scientific computing course at KTH Stockholm
Autor*in
Alfio Quarteroni
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From the reviews:
" ... Scientific Computing with MATLAB is written in a clear and concise style, figures, tables and formula boxes complement the explanations... The whole book is an invitation, if not a request, of the authors to the reader to play with MATLAB, apply its powerful menagerie of functions to solve the given (or own) problems - in brief, supervised learning by doing .... is a stimulating introductory textbook about numerical methods that successfully combines mathematical theory with programming experience..." Anselm A.C. Horn, Journal of Molecular Modeling 2004
"... An excellent addition to academic libraries and university bookstores, this book will be useful for self-study and as a complement to other MATLAB-based books. Highly recommended. Upper-division undergraduates through professionals." S.T. Karris, Choice 2003
From the reviews of the second edition:
"The authors present … details about the MATLAB and Octave environments, with information about how the two products can be acquired. … readers will find a useful set of about 60 references to books and articles about numerical methods and algorithms. … If you work on a daily basis with things like Fourier transformations … and Chebyshev interpolations, then you’ll find this book invaluable. If, like me, you are required to support people who work with those things, you’ll need this book … ." (G. K. Jenkins, ACM Computing Reviews, Vol. 49 (12), December, 2008)
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