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Numerical and Analytical Methods with MATLAB® (CRC Series in Computational Mechanics and Applied Analysis)(2009) pdf

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Description

 							
  
  ISBN 978-1-4200-9357-5
  
  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. 						

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