An Introduction to Programming and Numerical Methods in MATLAB

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MATLAB is a powerful programme, which naturally lends itself to the rapid implementation of most numerical algorithms. This text, which uses MATLAB, gives a detailed overview of structured programming and numerical methods for the undergraduate student.

The book covers numerical methods for solving a wide range of problems, from integration to the numerical solution of differential equations or the stimulation of random processes. Examples of programmes that solve problems directly, as well as those that use MATLAB’s high-level commands are given.

Each chapter includes extensive examples and tasks, at varying levels of complexity. For practice, the early chapters include programmes that require debugging by the reader, while full solutions are given for all the tasks. The book also includes:

a glossary of MATLAB commands

appendices of mathematical techniques used in numerical methods.

Designed as a text for a first course in programming and algorithm design, as well as in numerical methods courses, the book will be of benefit to a wide range of students from mathematics and engineering, to commerce.

Author(s): S.R. Otto BSc, PhD, J.P. Denier BSc (Hons), PhD (auth.)
Edition: 1
Publisher: Springer-Verlag London
Year: 2005

Language: English
Pages: 464
Tags: Computational Mathematics and Numerical Analysis; Numerical Analysis; Operations Research, Mathematical Programming

Simple Calculations with MATLAB....Pages 1-26
Writing Scripts and Functions....Pages 27-61
Loops and Conditional Statements....Pages 63-101
Root Finding....Pages 103-132
Interpolation and Extrapolation....Pages 133-167
Matrices....Pages 169-223
Numerical Integration....Pages 225-245
Solving Differential Equations....Pages 247-290
Simulations and Random Numbers....Pages 291-322