Some Engineering Mathematics
C. Pozrikidis
Chester & Bennington
450 pages including covers
Download the first version (forthcoming)
% tun_26.01.pdf
Please forgive typographical, conceptual, and other errors.
The book should still be readable, mostly accurate,
and should fulfil its intended role.
Further revisions will correct these errors.
Why now?
I am in poor health and uncertain as to
when I will kick the bucket.
Remember:
It's not the size of the dog in the fight,
it's the size of fight in the dog.
What is this?
A good way of learning, teaching,
and refamiliarizing oneself
with methods of applied mathematics
and scientific computing
is to study a selected set of topics
related to applied science and engineering
that are a blend of the old, the new, and the emerging.
This book discusses a pertinent collection of such carefully selected
topics, problems, algorithms, and complete computer codes,
including mainstream and original material.
The discussion of the individual topics
and accompanying mathematical and computational analysis
provide opportunities for
recalling, clarifying, and learning methods
and developing skills.
One main goal of this book is to provide insights
into a fair question often asked:
What are the applications
of a particular method or topic in applied science and engineering?
This book helps answer this question by
providing motivation and by making cases by example.
Regarded in hindsight,
the discussion illustrates the usefulness of applied mathematics,
scientific computing, and computer coding to problems encountered
in a broad range of applications.
A junior or even lower level background
on linear algebra and calculus, and elementary familiarity with
computer programming are assumed for most of the topics covered.
This book is suitable
as a text for instruction in a mainstream,
special topics, or special projects advanced undergraduate course
or introductory graduate course
in applied mathematics, engineering mathematics,
computer programming, and
scientific computing in the applied sciences and engineering.
More broadly,
the book offers a point of departure for
exploring mathematical and computational concepts and ideas,
performing online research
from different points of view, and pursuing individual study.
The intended audience includes
students, course instructors, researchers, and anyone
interested in science, technology,
and mathematics.
Elementary and advanced \emph{Matlab/Octave}
computer codes performing
miscellaneous computations, simulations, and graphics visualizations
are listed and discussed in the
text.
The codes illustrate explicitly
how mathematical equations translate into computer code instructions.
The computer programs are arranged
in a software library named SEMLIB.
This book complements mainstream textbooks, online resources,
and lecture notes on applied mathematics
in a way that circumvents the need
for referencing background material and
invoking the work of others.
Consistent with this goal,
references and citations are not provided
with an understanding that, if needed,
they can be obtained readily by searching
the Internet.
Random acts of kindness
If you enjoyed reading this book,
please consider performing
a random act of kindness,
saying a prayer for the author,
saying another prayer for the pretender,
or donating what you can afford
to the St. Jude Children's Research Hospital
in Memphis, Tennessee.
Please be kind to one another,
you never know what kind of trauma lies
behind the smile.
Fly high in Heaven Robin and Chester.