numerical-techniques-for-chemical-and-biological-engineers-using-matlab-a-simple-bifurcation-approach.9780387344331.56472.pdf

Numerical Techniques
for Chemical and
Biological Engineers
Using
MATLAB®
A Simple
Bifurcation
Approach
Said Elnashaie
Frank Uhlig
with the assistance of
Chadia Affane
Professor Said Professor Frank Uhlig Chadia Affane
. Elnashaie Department of Mathematics Department of Mathematics
Pennsylvania State University and Statistics and Statistics
at Harrisburg Auburn University Auburn University
Room TL 176 Capital College 312 Parker Hall Auburn, AL 36849
777 W. Harrisburg Pike Auburn, AL 36849 ******@
Middletown, PA 17057-4898 ******@
******@
MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does
not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of MATLAB®
software or related products does not constitute endorsement or sponsorship by The MathWorks of a
particular pedagogical approach or particular use of the MATLAB® software.
Library of Congress Control Number: 2006930111
ISBN-10: 0-387-34433-0
ISBN-13: 978-0-387-34433-1
© 2007 Springer Science +Business Media, LLC
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science +Business Media, LLC, 233 Spring Street, New York, NY 10013,
USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any
form of information storage and retrieval, electronic adaptation, computer software, or by similar or
dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
987654321
Preface
This book e about by chance.
The first author, Said Elnashaie, and his wife, Shadia Elshishini, moved n