Advanced Mathematics and Mechanics Applications
Using MATLAB

Authors - Howard B. Wilson, Jr.

University of Alabama, Tuscaloosa

and Louis H. Turcotte

Mississippi State University


Description | Features | Contents | Audience | Publication Information and Price


Description

Advanced Mathematics and Mechanics Applications Using MATLAB illustrates the problem-solving capabilities of MATLAB in advanced engineering and the physical sciences. The book covers a wide range of numerical topics and discusses the algorithmic methods that can be used for their solution. The applications emphasize solutions of linear and nonlinear differential equations. Linear partial differential equations and linear matrix differential equations are analyzed using eigenfunctions and series solutions. Several other diverse topics, such as conformal mapping, heat conduction, and inertial property calculation for areas, are also included.

The text has numerous sample programs that can be used to solve complicated applied problems. The programs have extensive comments and are intended for separate study without additional reference. Many of the programs presented in the text treat applications not presented in traditional texts, e.g., spline computation of inertia properties of arbitrary areas. Additionally, all the programs are contained on a diskette accompanying the book. This diskette is organized with directories corresponding to different chapters, and a group of frequently used functions-such as those for spline interpolation and interactive data input-comprises a separate utility library.

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Features

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Contents

Introduction

Graphics Commands

Summary of Concepts from Linear Algebra

Methods for Interpolation and Numerical Differentiation

Gaussian Integration with Applications to Geometric Properties

Fourier Series and the FFT

Dynamic Response of Linear Second Order Systems

Integration of Nonlinear Initial Value Problems

Boundary Value Problems for Linear Partial Differential Equations

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Audience

This book is a useful reference for research engineers, workers dealing with physical applications, and senior-graduate students taking courses in advanced engineering mechanics, numerical analysis, and engineering mathematics.

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Publication and Pricing

Catalog no. 2482

ISBN: 0-8493-2482-3

For orders, contact our order department , or visit the CRC Press Home Page