Numerical and Analytical Methods with MATLAB

1. Auflage 2009
ISBN: 978-1-4200-9356-8
Verlag: CRC Press

Buch, Englisch, 486 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 892 g

Reihe: Applied and Computational Mechanics

Numerical and Analytical Methods with MATLAB® presents extensive coverage of the MATLAB programming language for engineers. It demonstrates how the built-in functions of MATLAB can be used to solve systems of linear equations, ODEs, roots of transcendental equations, statistical problems, optimization problems, control systems problems, and stress analysis problems. These built-in functions are essentially black boxes to students. By combining MATLAB with basic numerical and analytical techniques, the mystery of what these black boxes might contain is somewhat alleviated.

This classroom-tested text first reviews the essentials involved in writing computer programs as well as fundamental aspects of MATLAB. It next explains how matrices can solve problems of linear equations, how to obtain the roots of algebraic and transcendental equations, how to evaluate integrals, and how to solve various ODEs. After exploring the features of Simulink, the book discusses curve fitting, optimization problems, and PDE problems, such as the vibrating string, unsteady heat conduction, and sound waves. The focus then shifts to the solution of engineering problems via iteration procedures, differential equations via Laplace transforms, and stress analysis problems via the finite element method. The final chapter examines control systems theory, including the design of single-input single-output (SISO) systems.

Two Courses in One Textbook
The first six chapters are appropriate for a lower level course at the sophomore level. The remaining chapters are ideal for a course at the senior undergraduate or first-year graduate level. Most of the chapters contain projects that require students to write a computer program in MATLAB that produces tables, graphs, or both. Many sample MATLAB programs (scripts) in the text provide guidance on completing these projects.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Bober, William

Tsai, Chi-Tay

Masory, Oren

Fachgebiete

• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Funktionale, Logische, Parallele und Visuelle Programmierung
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

Numerical Modeling for Engineering. MATLAB Fundamentals. Matrices. Roots of Algebraic and Transcendental Equations. Numerical Integration. Numerical Integration of Ordinary Differential Equations. Simulink. Curve Fitting. Optimization. Partial Differential Equations. Iteration Method. Laplace Transforms. An Introduction to the Finite Element Method. Control Systems. Appendices. Index.

Über Autor(innen)

William Bober, Chi-Tay Tsai, and Oren Masory are all professors in the Department of Mechanical Engineering at Florida Atlantic University.