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Mathematics in Industrial Problems

Part 1

  • Textbook
  • © 1988

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 16)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-1
    Download chapter PDF

  2. Introduction

    • Avner Friedman
    Pages 3-4

  3. Scattering by Stripe Grating

    • Avner Friedman
    Pages 5-13

  4. Packing Problems in Data Communications

    • Avner Friedman
    Pages 14-19

  5. Unresolved Mathematical Issues in Coating Flow Mechanics

    • Avner Friedman
    Pages 20-31

  6. Conservation Laws in Crystal Precipitation

    • Avner Friedman
    Pages 32-39

  7. A Close Encounter Problem of Random Walk in Polymer Physics

    • Avner Friedman
    Pages 40-45

  8. Mathematical Models for Manufacturable Josephson Junction Circuitry

    • Avner Friedman
    Pages 46-51

  9. Image Reconstruction in Oil Refinery

    • Avner Friedman
    Pages 52-56

  10. Asymptotic Methods in Semiconductor Device Modeling

    • Avner Friedman
    Pages 57-65

  11. Some Fluid Mechanics Problems in U.K. Industry

    • Avner Friedman
    Pages 66-75

  12. High Resolution Sonar Waveform Synthesis

    • Avner Friedman
    Pages 76-79

  13. Synergy in Parallel Algorithms

    • Avner Friedman
    Pages 80-85

  14. A Conservation Law Model for Ion Etching for Semiconductor Fabrication

    • Avner Friedman
    Pages 86-96

  15. Phase Change Problems with Void

    • Avner Friedman
    Pages 97-104

  16. Combinatorial Problems Arising in Network Optimization

    • Avner Friedman
    Pages 105-113

  17. Dynamic Inversion and Control of Nonlinear Systems

    • Avner Friedman
    Pages 114-120

  18. The Stability of Rapid Stretching Plastic Jets

    • Avner Friedman
    Pages 121-127

  19. A Selection of Applied Mathematics Problems

    • Avner Friedman
    Pages 128-138

  20. The Mathematical Treatment of Cavitation in Elastohydrodynamic Lubrication

    • Avner Friedman
    Pages 139-144
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Keywords

About this book

Building a bridge between mathematicians and industry is both a chal­ lenging task and a valuable goal for the Institute for Mathematics and its Applications (IMA). The rationale for the existence of the IMA is to en­ courage interaction between mathematicians and scientists who use math­ ematics. Some of this interaction should evolve around industrial problems which mathematicians may be able to solve in "real time." Both Industry and Mathematics benefit: Industry, by increase of mathematical knowledge and ideas brought to bear upon their concerns, and Mathematics, through the infusion of exciting new problems. In the past ten months I have visited numerous industries and national laboratories, and met with several hundred scientists to discuss mathe­ matical questions which arise in specific industrial problems. Many of the problems have special features which existing mathematical theories do not encompass; such problems may open new directions for research. However, I have encountered a substantial number of problems to which mathemati­ cians should be able to contribute by providing either rigorous proofs or formal arguments. The majority of scientists with whom I met were engineers, physicists, chemists, applied mathematicians and computer scientists. I have found them eager to share their problems with the mathematical community. Often their only recourse with a problem is to "put it on the computer." However, further insight could be gained by mathematical analysis.

Authors and Affiliations

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

    Avner Friedman

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