[John Wiley & Sons] Applied Numerical Methods Using Matlab

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This book introduces applied numerical methods for engineering and science
students in sophomore to senior levels; it targets the students of today who do
not like or do not have time to derive and prove mathematical results. It can
also serve as a reference to MATLAB applications for professional engineers
and scientists, since many of the MATLAB codes presented after introducing
each algorithm’s basic ideas can easily be modified to solve similar problems
even by those who do not know what is going on inside the MATLAB routines
and the algorithms they use. Just as most drivers only have to know where to
go and how to drive a car to get to their destinations, most users only have to
know how to define the problems they want to solve using MATLAB and how
to use the corresponding routines to solve their problems. We never deny that
detailed knowledge about the algorithm (engine) of the program (car) is helpful
for getting safely to the solution (destination); we only imply that one-time users
of any MATLAB program or routine may use this book as well as the students
who want to understand the underlying principle of each algorithm.
In this book, we focus on understanding the fundamental mathematical concepts
and mastering problem-solving skills using numerical methods with the
help of MATLAB and skip some tedious derivations. Obviously, basic concepts
must be taught so that students can properly formulate the mathematics
problems. Afterwards, students can directly use the MATLAB codes to solve
practical problems. Almost every algorithm introduced in this book is followed
by example MATLAB code with a friendly interface so that students can easily
modify the code to solve real life problems. The selection of exercises follows
the some philosophy of making the learning easy and practical. Students
should be able to solve similar problems immediately after taking the class using
the MATLAB codes we provide. For most students—and particularly nonmath
majors—understanding how to use numerical tools correctly in solving their
problems of interest is more important than studying lengthy proofs and derivations.
MATLAB is one of the most developed software packages available today.
It provides many numerical methods and it is very easy to use, even for people
without prior programming experience. We have supplemented MATLAB’s builtin
functions with more than 100 small MATLAB routines. Readers should find
these routines handy and useful. Some of these routines give better results for
some problems than the built-in functions. Students are encouraged to develop
their own routines following the examples.
The knowledge in this book is derived from the work of many eminent scientists,
scholars, researchers, and MATLAB developers, all of whom we thank.
We thank our colleagues, students, relatives, and friends for their support and
encouragement. We thank the reviewers, whose comments were so helpful in
tuning this book. We especially thank Senior Researcher Yong-Suk Park for his
invaluable help in correction. We thank the editorial and production staff of John
Wiley & Sons, Inc. including Editor Val Moliere and Production Editor Lisa
VanHorn for their kind, efficient, and encouraging guide.
WON YOUNG YANG
WENWU CAO
TAE-SANG CHUNG
JOHN MORRIS
October 2004

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