William Bober, Chi-Tay Tsai, Oren Masory ... 472 pages -
Publisher: CRC Press; 1st edition (August, 2009) ...
Language: English -
ISBN-10: 1420093568 -
ISBN-13: 978-1420093568 ...
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.
