Industrial Mathematics
Modeling in Industry,
Science, and Government
Charles R.MacCluer
ISBN 0-13-949199-6
307pp
Preface
Mathematics is unreasonably
effective in resolving seemingly intractable problems. The process proceeds in three
steps: model the external world problem as a mathematical problem, solve the mathematical
problem, then interpret the results. A mathematician in government or industry will be
involved at all three steps.
This book is for students
about to enter the workforce. They may be well grounded in the fundamentals of mathematics
but not in its practice. Although changing of late through the efforts of COMAP, SIAM, and
NSA, the graduating student has little experience in modeling or in the particular
extensions of mathematics useful in industrial problems. They may know power series but
not the z-transform, orthogonal matrices but not factor analysis, Laplace transforms but
not Bode plots. Most certainly they will have no experience with problems incorporating
the unit $. Mathematicians in industry must be able to see their work from an economic
viewpoint. They must also be able to communicate with engineers using their common
dialect, the dialect of this book.
Each chapter begins with a
brief review of some relevant mathematics which may require further elaboration by the
instructor. Then the industrial extension of this same material is introduced via typical
applications. The routines which occur in the flow of text are not merely enrichment but
instead are an integral part of the text itself. One central thrust of this book is to
demonstrate the power of interweaving analytic with computing methods during problem
solving.
Many exercises require the
student to experiment with, or to modify, the MATLAB routines provided. Tedious retyping
of the routines is unnecessary since all routines will be available at our anonymous ftp
site math.msu.edu down the path pub/maccluer/mm. Other exercises ask the student to
generate code themselves. A certain number of exercises are in fact projects, requiring
data collection, experimentation, or consultation with industrial experts.
This book is aimed at the
senior undergraduate or Master's student of mathematics, engineering, or science. The
writing style is by design sparse and brief.