modeling in industry, science, and governmentC. R. MacCluer, Prentice Hall, 2000

This book is for senior, or masters student of mathematics, engineering,or science about to enter the workforce. The book surveys the mathematicsof most use in industry. The graduate may be well- grounded in the fundamentalsof mathematics but not in its practice. Although changing of late throughthe efforts of COMAP, SIAM, and NSA, the graduating student has littleexperience in modeling or in the particular extensions of mathematics usefulin industrial problems. They may know power series but not the z-transform,orthogonal matrices but not factor analysis, Laplace transforms but notBode Plots. Most certainly they will have no experience with problems incorporatingthe unit $. Mathematicians in industry must be able to see their work froman economic viewpoint. They must also be able to communicate with engineersusing their common dialect, the dialect of this book.

Additions contributed by others after publication andtypos: additions and corrections

Scripts for the MATLAB routines used in the bookare found at the MathWorks ftp site

ftp://ftp.mathworks.com/pub/books/maccluer

Ordering information is to be found at PrenticeHall

Sample chapters are available in Latex source code fromthe author maccluer@math.msu.edu.

This text is used in the *Survey of Industrial Mathematics*843 of ourIndustrial MathematicsMS program.

To the instructor

Chapter interdependence

About the symbol *

1.2 Uniform distributions

1.3 Gaussian distributions

1.4 The binomial distribution

1.5 The Poisson distribution

1.6 Taguchi quality control

2.2 Mean time between failure (MTBF)

2.3 Servicing requests

2.4 The newsboy problem (reprise)

3.2 Linear recursions

3.3 Filters

3.4 Stability

3.5 Polar and Bode plots

3.6 Aliasing

3.7 Closing the loop

3.8 Why decibels?

4.2 Properties of the DFT

4.3 Filter design

4.4 The fast Fourier transform (FFT)

4.5 Image processing

5.2 The Diet Problem

5.3 The Simplex Algorithm

6.2 Norms on R^{n}

6.3 Hilbert space

6.4 Gram's theorem on regression

7.2 Life cycle costing

8.2 Revenue, cost, and profit

8.3 Elasticity of demand

8.4 Duopolistic competition

8.5 Theory of production

8.6 Leontiev input/output

9.2 Mechanics

9.3 Linear ODEs with constant coefficients

9.4 Systems

10.2 Generalized signals

10.3 Plants in cascade

10.4 Surge impedance

10.5 Stability

10.6 Filters

10.7 Feedback and root-locus

10.8 Nyquist analysis

10.9 Control

11.2 The big six PDEs

11.3 Separation of variables

11.4 Unbounded spatial domains

11.5 Periodic steady state

11.6 Other distributed models

12.2 Systems

12.3 PDEs

12.4 Runge-Kutta

13.2 Eigenvalue problems

13.3 Steady problems

13.4 Transient problems

13.5 Finite elements

13.6 Why so effective?

14.2 m-Splines

14.3 Cubic splines

15.2 The memo

15.3 Progress reports

15.4 Executive summaries

15.5 Problem statements

15.6 Overhead projector presentations

15.7 Approaching a writing task

15.8 Style

15.9 Writers checklist

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Last Revised 12/20/96