An Introduction to Programming and Numerical Methods in MATLAB

ISBN-13: 9781852339197 / Angielski / Miękka / 2005 / 480 str.

S. R. Otto; James P. Denier

Opis

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 simulation of random processes. 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.

Recenzje

From the reviews of the first edition:

"This book is an introduction to the numerical methods that are frequently used in science and engineering undergraduate courses and it is based on the MATLAB programming environment. ... The text is easy to read even for those who have little experience with computer practice. ... There are three appendices and the most useful of them, about 70 pages, gives solutions to the tasks at the end of chapters." (Matti Vuorinen, Zentralblatt MATH, Vol. 1076, 2006)

Spis treści

Simple Calculations with MATLAB.- Writing Scripts and Functions.- Loops and Conditional Statements.- Root Finding.- Interpolation and Extrapolation.- Matrices.- Numerical Integration.- Solving Differential Equations.- Simulations and Random Numbers.

O autorze

Steve Otto was formerly a lecturer at Birmingham University but now heads a research unit at St. Andrews, UK. This book is based on courses taught at Birmingham and at Adelaide to students in mathematics, engineering and economics.

Blurb

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.