Scientific Computing with MATLAB and Octave

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Springer Science & Business Media, Aug 23, 2006 - Computers - 318 pages
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.

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Nonlinear equations
Approximation of functions and data 71
Numerical differentiation and integration
Linear systems
Eigenvalues and eigenvectors
Ordinary differential equations 187
Numerical methods for initialboundaryvalue
Solutions of the exercises
References 307

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About the author (2006)

Gli Autori sono docenti di matematica presso l'EPFL di Losanna. Il curatore dell'edizione italiana ?? un noto ricercatore e docente presso il Politecnico di Milano e l'EPFL