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Topics in Industrial Mathematics

Case Studies and Related Mathematical Methods

  • Book
  • © 2000

Overview

Authors:
  1. Helmut Neunzert

    1. Kaiserslautern, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. Abul Hasan Siddiqi

    1. Aligahr, India
      Dhahran, Saudi Arabia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Optimization (APOP, volume 42)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Case Studies at Kaiserslautern

    • Helmut Neunzert, Abul Hasan Siddiqi
    Pages 1-52

  3. Algorithms for Optimization

    • Helmut Neunzert, Abul Hasan Siddiqi
    Pages 53-77

  4. Maxwell’s Equations, Finite and Boundary Element Methods

    • Helmut Neunzert, Abul Hasan Siddiqi
    Pages 79-152

  5. Monte Carlo Methods

    • Helmut Neunzert, Abul Hasan Siddiqi
    Pages 153-180

  6. Image Processing and Fourier — Wavelet Methods

    • Helmut Neunzert, Abul Hasan Siddiqi
    Pages 181-264

  7. Models of Hysteresis and Applications

    • Helmut Neunzert, Abul Hasan Siddiqi
    Pages 265-285

  8. Appendix

    • Helmut Neunzert, Abul Hasan Siddiqi
    Pages 287-344

  9. Back Matter

    Pages 345-377
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Keywords

About this book

Industrial Mathematics is a relatively recent discipline. It is concerned primarily with transforming technical, organizational and economic problems posed by indus­ try into mathematical problems; "solving" these problems byapproximative methods of analytical and/or numerical nature; and finally reinterpreting the results in terms of the original problems. In short, industrial mathematics is modelling and scientific computing of industrial problems. Industrial mathematicians are bridge-builders: they build bridges from the field of mathematics to the practical world; to do that they need to know about both sides, the problems from the companies and ideas and methods from mathematics. As mathematicians, they have to be generalists. If you enter the world of indus­ try, you never know which kind of problems you will encounter, and which kind of mathematical concepts and methods you will need to solve them. Hence, to be a good "industrial mathematician" you need to know a good deal of mathematics as well as ideas already common in engineering and modern mathematics with tremen­ dous potential for application. Mathematical concepts like wavelets, pseudorandom numbers, inverse problems, multigrid etc., introduced during the last 20 years have recently started entering the world of real applications. Industrial mathematics consists of modelling, discretization, analysis and visu­ alization. To make a good model, to transform the industrial problem into a math­ ematical one such that you can trust the prediction of the model is no easy task.

Authors and Affiliations

  • Kaiserslautern, Germany

    Helmut Neunzert

  • Aligahr, India

    Abul Hasan Siddiqi

  • Dhahran, Saudi Arabia

    Abul Hasan Siddiqi

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