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A Matlab Companion for Multivariable Calculus <br />
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General Information<br />
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Type.................: Ebook<br />
Part Size............: 6,194,502 bytes<br />
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Posted by............: ~tqw~<br />
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Release Notes<br />
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This book provides a concise collection of MATLAB programs and exercises to <br />
accompany a course in multivariable calculus. The main ideas of calculus in <br />
several variables are presented alongside examples of computations and graphics <br />
displays using the MATLAB computer algebra software.<br />
The book's many examples demonstrate how to use MATLAB effectively and easily in <br />
a variety of contexts. Simple numerical procedures are introduced -- such as <br />
numerical differentiation, numerical integration and Newton's method in several <br />
variables -- allowing students to tackle problems utilizing these techniques and <br />
optimizing the relevant MATLAB applications. The author provides numerous <br />
examples of short codes which students can then modify to solve problems.<br />
Exercises contained in this volume include applications to problems across <br />
disciplines, such as economics, physics, engineering and biology. Supplementary <br />
MATLAB files are provided on the publisher's Web site* to implement some <br />
graphical displays too complex for programming by students new to the software. <br />
These files can be used by students or can also serve as practical MATLAB <br />
classroom demonstrations for instructors teaching the course.<br />
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Table of Contents<br />
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Preface ix<br />
List of mfiles xv<br />
1 Basic MATLAB: The Command Line 1<br />
2 Basic MATLAB: mfiles 21<br />
3 Vectors, Lines, and Planes 33<br />
4 Curves in Space 47<br />
5 Functions of Two Variables 69<br />
6 Functions of Three Variables and Parametric Surfaces 101<br />
7 Solving Equations 123<br />
8 Optimization 141<br />
9 Multiple Integrals 169<br />
10 Scalar Integrals Over Curves and Surfaces 197<br />
11 Integrals of Vector Fields Over Curves and Surfaces 219<br />
12 Problems from Electrostatics and Fluid Flow 241<br />
13 More Features of MATLAB 271<br />
Appendix Instructor Demos 279<br />
Solutions to Selected Exercises 281<br />
Index 291<br />
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Product Details<br />
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* ISBN: 012187625X<br />
* ISBN-13: 9780121876258<br />
* Format: Textbook Paperback, 294pp<br />
* Publisher: Elsevier Science & Technology Books<br />
* Pub. Date: December 2000<br />
* Edition Number: 1<br />
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