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 introductory text uses Matlab and the freeware Octave program for the computer solution of mathematical problems. The second edition features new problems and examples, and additional numerical methods for linear and nonlinear systems, and ordinary and partial differential equations.
Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will 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 di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game that computers adopt when storing and operating with realand complex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raised through exercises and examples, often stemming from s- ci?c applications.
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
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.
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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