Numerical Analysis Using MATLAB and Excel 3rd ed - S. Karris (Orchard, 2007) WW.pdf - @Excel - walbo48

Numerical

Using MATLAB® and Excel®

Third Edition

Steven T. Karris

Orchard Publications

www.orchardpublications.com

Analysis

Numerical Analysis

Using MATLAB® and Excel®

Third Edition

Students and working professionals will

find Numerical Analysis Using MATLAB®

and Excel®, Third Edition, to be a concise

and easy-to-learn text. It provides com-

plete, clear, and detailed explanations of

the principal numerical analysis methods

and well known functions used in science

and engineering. These are illustrated

with many real-world examples.

This text includes the following chapters and appendices:

• Introduction to MATLAB • Root Approximations • Sinusoids and Complex Numbers • Matrices

and Determinants • Review of Differential Equations • Fourier, Taylor, and Maclaurin Series

• Finite Differences and Interpolation • Linear and Parabolic Regression • Solution of Differential

Equations by Numerical Methods • Integration by Numerical Methods • Difference Equations

• Partial Fraction Expansion • The Gamma and Beta Functions • Orthogonal Functions and

Matrix Factorizations • Bessel, Legendre, and Chebyshev Polynomials • Optimization Methods

• Difference Equations in Discrete-Time Systems • Introduction to Simulink • Ill-Conditioned

Matrices

Each chapter contains numerous practical applications supplemented with detailed instructions

for using MATLAB and/or Excel to obtain quick solutions.

Steven T. Karris is the president and founder of Orchard Publications, has undergraduate and

graduate degrees in electrical engineering, and is a registered professional engineer in

California and Florida. He has more than 35 years of professional engineering experience and

more than 30 years of teaching experience as an adjunct professor, most recently at UC

Berkeley, California.

Orchard Publications

Visit us on the Internet

www.orchardpublications.com

or email us: info@orchardpublications.com

ISBN-13: 978-1-934404-04-1

ISBN-10: 1-934404-04-7

$60.00 USA

Numerical Analysis

Using MATLAB ® and Excel ®

Third Edition

Steven T. Karris

Orchard Publications

www.orchardpublications.com

Numerical Analysis Using MATLAB® and Excel®, Third Edition

publication may be reproduced or distributed in any form or by any means, or stored in a data base or retrieval system,

without the prior written permission of the publisher.

Direct all inquiries to Orchard Publications, info@orchardpublications.com

Product and corporate names are trademarks or registered trademarks of the Microsoft™ Corporation and The

MathWorks™, Inc. They are used only for identification and explanation, without intent to infringe.

Library of Congress Cataloging-in-Publication Data

Library of Congress Control Number: 2007922100

ISBN-13: 978-1-934404-04-1

ISBN-10: 1-934404-04-7

Disclaimer

The author has made every effort to make this text as complete and accurate as possible, but no warranty is implied.

The author and publisher shall have neither liability nor responsibility to any person or entity with respect to any loss

or damages arising from the information contained in this text.

Preface

Numerical analysis is the branch of mathematics that is used to find approximations to difficult

problems such as finding the roots of non − linear equations, integration involving complex

expressions and solving differential equations for which analytical solutions do not exist. It is

applied to a wide variety of disciplines such as business, all fields of engineering, computer science,

education, geology, meteorology, and others.

Years ago, high − speed computers did not exist, and if they did, the largest corporations could only

afford them; consequently, the manual computation required lots of time and hard work. But now

that computers have become indispensable for research work in science, engineering and other

fields, numerical analysis has become a much easier and more pleasant task.

This book is written primarily for students/readers who have a good background of high − school

algebra, geometry, trigonometry, and the fundamentals of differential and integral calculus. * A

prior knowledge of differential equations is desirable but not necessary; this topic is reviewed in

Chapter 5.

One can use Fortran, Pascal, C, or Visual Basic or even a spreadsheet to solve a difficult problem.

It is the opinion of this author that the best applications programs for solving engineering

problems are 1) MATLAB which is capable of performing advanced mathematical and

engineering computations, and 2) the Microsoft Excel spreadsheet since the versatility offered by

spreadsheets have revolutionized the personal computer industry. We will assume that the reader

has no prior knowledge of MATLAB and limited familiarity with Excel.

We intend to teach the student/reader how to use MATLAB via practical examples and for

detailed explanations he/she will be referred to an Excel reference book or the MATLAB User’s

Guide. The MATLAB commands, functions, and statements used in this text can be executed

with either MATLAB Student Version 12 or later. Our discussions are based on a PC with

Windows XP platforms but if you have another platform such as Macintosh, please refer to the

appropriate sections of the MATLAB’s User Guide that also contains instructions for installation.

MATLAB is an acronym for MATrix LABoratory and it is a very large computer application

which is divided to several special application fields referred to as toolboxes. In this book we will

be using the toolboxes furnished with the Student Edition of MATLAB. As of this writing, the

latest release is MATLAB Student Version Release 14 and includes SIMULINK which is a

* These topics are discussed in Mathematics for Business, Science, and Technology, Third Edition, ISBN 0 − 9709511 −

0 − 8. This text includes probability and other advanced topics which are supplemented by many practical applications using

Microsoft Excel and MATLAB.

Numerical Analysis Using MATLAB and Excel 3rd ed - S. Karris (Orchard, 2007) WW.pdf

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