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  • © 1988

Mathematics in Industrial Problems

Part 1

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 16)

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  • ISBN: 978-1-4615-7399-9
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Table of contents (23 chapters)

  1. Front Matter

    Pages i-1
  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. Conservation Laws in Crystal Precipitation

    • Avner Friedman
    Pages 32-39
  6. Image Reconstruction in Oil Refinery

    • Avner Friedman
    Pages 52-56
  7. High Resolution Sonar Waveform Synthesis

    • Avner Friedman
    Pages 76-79
  8. Synergy in Parallel Algorithms

    • Avner Friedman
    Pages 80-85
  9. Phase Change Problems with Void

    • Avner Friedman
    Pages 97-104
  10. The Stability of Rapid Stretching Plastic Jets

    • Avner Friedman
    Pages 121-127
  11. A Selection of Applied Mathematics Problems

    • Avner Friedman
    Pages 128-138

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.

Keywords

  • control
  • fluid mechanics
  • mathematics
  • mechanics
  • optimization

Authors and Affiliations

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

    Avner Friedman

Bibliographic Information

Buying options

eBook USD 64.99
Price excludes VAT (USA)
  • ISBN: 978-1-4615-7399-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 84.99
Price excludes VAT (USA)