Numerical and Analytical Methods with MATLAB

William Bober, Chi-Tay Tsai, Oren Masory (Florida Atlantic University, Boca Raton, USA)

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English

CRC Press Inc
11 August 2009

Mathematics; Numerical analysis; Mechanical engineering; Environmental science, engineering & technology; Computing: general; Functional programming; Computer science

Series: 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 TextbookThe 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.

By: William Bober, Chi-Tay Tsai, Oren Masory (Florida Atlantic University, Boca Raton, USA)
Imprint: CRC Press Inc
Country of Publication: United States
Volume: v. 9
Dimensions: Height: 234mm, Width: 156mm, Spine: 28mm
Weight: 793g
ISBN: 9781420093568
ISBN 10: 1420093568
Series: Applied and Computational Mechanics
Pages: 486
Publication Date: 11 August 2009
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

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.

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