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Numerical Methods for Engineers and Scientists: An Introduction with Applications Using MATLAB
A clear and concise guide to numerical methods and their application
Mastering numerical methods has never been easier than with Gilat/Subramaniam's Numerical Methods For Engineers and Scientists: An Introduction with Applications Using MATLAB(r). Uniquely accessible and concise, this book takes an innovative
approach that integrates the study of numerical methods with hands-on programming practice using the popular MATLAB environment to solve realistic problems in engineering and science.
Ideal for both students and professionals who would like to become more adept at numerical methods, Numerical Methods For Engineers and Scientists familiarizes you with:
* The mathematical background and fundamentals of numerical methods
* Solving nonlinear equations
* Solving a system of linear equations
* Eigenvalues and Eigenvectors
* Function approximation, curve fitting, and interpolation
* Differentiation
* Integration
* First-order and higher-order ODEs
* Initial and boundary value problems
Using MATLAB's built-in functions as tools for solving problems, you will practice applying numerical methods for analysis of real-world problems. All the information is presented in manageable, step-by-step fashion, supported by a large number of annotated examples and end-of-chapter problems.
Lucid, carefully structured, and flexibly designed to fulfill a wide range of academic and practical needs, this book will help you develop the skills in numerical methods that will serve you well as a practicing engineer.
About the Authors:
Amos Gilat, Ph.D., is Professor of Mechanical Engineering at The Ohio State University. Dr. Gilat's main research interests are in plasticity, specifically, in developing experimental techniques for testing materials over a wide range of strain rates and temperatures and in investigating constitutive relations for viscoplasticity. Dr. Gilat's research has been supported by the National Science Foundation, NASA, Department of Energy, Department of Defense, and various industries.
Vish Subramaniam, Ph.D., is Professor of Mechanical Engineering & Chemical Physics at The Ohio State University. Dr. Subramaniam's main research interests are in plasma and laser physics and processes, particularly those that involve non-equilibrium phenomena. Dr. Subramaniam's research is both experimental and computational, and has been supported by the Department of Defense, National Science Foundation, and numerous industries.
1. INTRODUCTION.
2. MATHEMATICAL BACKGROUND.
3. SOLVING A NONLINEAR EQUATION.
4. SOLVING A SYSTEM OF EQUATIONS.
5. FUNCTION APPROXIMATION, CURVE FITTING, AND INTERPOLATION.
6. DIFFERENTIATION.
7. INTEGRATION.
8. FIRST ORDER ODEs.
9. HIGHER ORDER ODEs.
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