Ordinary and Partial Differential Equation Routines in Matlab - H.J. Lee & W.E. Schiesser

This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. It concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussing its components in detail, focusing on integration concepts such as error monitoring and control. The format allows readers to understand the basics of ODE/PDE integration, then calculate sample numerical solutions within a targeted programming language. The applications discussed can be used as templates for the development of a spectrum of new applications.
From the Back Cover
Scientists and engineers attempting to solve complex problems require efficient, effective ways of applying numerical methods to ODEs and PDEs. They need a resource that enables fast access to library routines in their choice of a programming language.
Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB provides a set of ODE/PDE integration routines in the six most widely used languages in science and engineering, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems.
This text concisely reviews integration algorithms, then analyzes the widely used Runge Kutta method It first presents a complete code before discussing its components in detail, focusing on integration concepts such as error monitoring and control.
The format allows you to understand the basics of ODE/PDE integration, then calculate sample numerical solutions within your targeted programming language. The applications discussed can be used as templates for the development of a spectrum of new applications and associated codes.
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Optics: Learning by Computing, with Examples Using Maple, MathCad®, Matlab®, Mathematica®, and Maple® (Undergraduate Texts in Contemporary Physics)

This new edition is intended for a one semester course in optics for juniors and seniors in science and engineering. It uses scripts from Maple, MathCad, Mathematica, and MATLAB to provide a simulated laboratory where students can learn by exploration and discovery instead of passive absorption.
The text covers all the standard topics of a traditional optics course, including: geometrical optics and aberration, interference and diffraction, coherence, Maxwell's equations, wave guides and propagating modes, blackbody radiation, atomic emission and lasers, optical properties of materials, Fourier transforms and FT spectroscopy, image formation, and holography. It contains step by step derivations of all basic formulas in geometrical, wave and Fourier optics.
The basic text is supplemented by over 170 files in Maple, MathCad, Mathematica, and MATLAB (many of which are in the text; al scripts are included on the CD), each suggesting programs to solve a particular problem, and each linked to a topic in or application of optics. The computer files are dynamic, allowing the reader to see instantly the effects of changing parameters in the equations. Students are thus encouraged to ask "What if?" questions to asses the physical implications of the formulas. The discussion of Fourier transforms in particular is enhanced by the availability of numerical methods.
The book is written for the study of particular projects but can easily be adapted to other situations. The threefold arrangement of text, applications, and files makes the book suitable for "self-learning" by scientists or engineers who would like to refresh their knowledge of optics.In the classroom, the Maple, MathCad, Mathematica, and MATLAB scripts can serve as starting points for homework; outside, they can help find solutions to complex problems in engineering applications.