×

Mathematics in industrial problems. Part 7. (English) Zbl 0848.00013

The IMA Volumes in Mathematics and its Applications. 67. New York, NY: Springer-Verlag. xvi, 246 p. (1995).
Here is the 7th volume (Vol. VI has been reviewed above) issued at IMA under the direction of the author. As usually he collected many interesting mathematical problems answering to (arising from) practical problems in industry. To begin with we give the volume contents:
Preface; (1) Mass flow sensing with heat waves; (2) Mass transport in colloidal dispersions; (3) Crack propagation modeling; (4) Modeling of electrostatic bell sprayers; (5) Neural networks as controllers; (6) Heat-media interaction in magnetic recording; (7) Geometric path planning in rapid prototyping; (8) Feature detection in three-dimensional image analysis; (9) Robot localization using landmarks; (10) Coordinates for mechanism configuration spaces; (11) Pulse optimization for multi-user data communications; (12) Propagation of highly scattered radiation in tissue; (13) Doping profiling by inverse device methods; (14) Mathematical modeling in diffractive optics; (15) Coping with complex boundaries; (16) A short random walk through polymer material behaviour; (17) Finite set statistics with application to data fusion; (18) Electromigration modeling for smart power applications; (19) Maxwell equations and the analysis of electromagnetic devices; (20) Engineering modeling of batteries; (21) Solutions to proposed problems.
As usual, some problems related to mass transfer (chapters 1, 2) or mass transfer measurement are presented. The modeling and analysis of doping are treated in (13) and (18). An important group, (7), (8), (9), (10) is related to 3D representation of body displacement measurements. Diffractive optics, which is intimately related to holography, is developed in an extended chapter (nearly 20 pages). It is interesting to note that nowadays the classical equations of Maxwell are to be refined when one needs to use them in micromedia (12) or to predict the behaviour of electromagnetic actuators (19).
This volume, as the preceding ones, is a nice source of interesting problems for mathematicians, especially for those working in industry.

MSC:

00A69 General applied mathematics
00B15 Collections of articles of miscellaneous specific interest
00A71 General theory of mathematical modeling

Citations:

Zbl 0848.00012
PDFBibTeX XMLCite