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Mathematics in Industrial Problems

Part 2

  • Book
  • © 1989

Overview

Authors:
  1. Avner Friedman

    1. Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 24)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Signal design problems in multi-channel data communication

    • Avner Friedman
    Pages 1-10

  3. Solitons in non-homogeneous medium

    • Avner Friedman
    Pages 11-22

  4. Foam rheology

    • Avner Friedman
    Pages 23-28

  5. Applications of large deviations to communications

    • Avner Friedman
    Pages 29-40

  6. Phase modulation in nonlinear optical medium

    • Avner Friedman
    Pages 41-48

  7. Multiple solutions in semiconductor device modeling

    • Avner Friedman
    Pages 49-64

  8. Mathematical models for thermal imaging-an heuristic approach

    • Avner Friedman
    Pages 65-70

  9. Graph spectra, connectivity, and spin glass models of associative memory

    • Avner Friedman
    Pages 71-78

  10. Mathematical problems in electron beam lithography

    • Avner Friedman
    Pages 79-87

  11. A reaction—diffusion model of color negative film development

    • Avner Friedman
    Pages 88-98

  12. An inverse problem arising in the evolution of combustion aerosols

    • Avner Friedman
    Pages 99-106

  13. Adaptive focused beamforming

    • Avner Friedman
    Pages 107-117

  14. Optimal switching between a pair of Brownian motions

    • Avner Friedman
    Pages 118-127

  15. Mathematical models of latent image formation

    • Avner Friedman
    Pages 128-136

  16. Modeling problems in magneto-optic recording

    • Avner Friedman
    Pages 137-144

  17. Shaped charge jets and subsonic free-surface flow theory

    • Avner Friedman
    Pages 145-155

  18. Electrophotographic system models

    • Avner Friedman
    Pages 156-166

  19. Fluid models and other asymptotic limits with data and teletraffic applications

    • Avner Friedman
    Pages 167-174

  20. Solutions to problems from volume 1

    • Avner Friedman
    Pages 175-181
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Keywords

About this book

This is the second volume in the series "Mathematics in Industrial Prob­ lems." The motivation for both volumes is to foster inter action between Industry and Mathematics at the "grass roots"; that is at the level of spe­ cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in venture directed at the manufac­ ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap­ ters usually provide references to the mathematical literat ure and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated brießy. The last chapter of the book contains a short description of solutions to some of the problems raised in the first volume, as weIl as references to papers in which such solutions have been published. The experience of the last two years demonstrates a growing fruitful interaction between Industry and Mathematics. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.

Authors and Affiliations

  • Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, USA

    Avner Friedman

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