Topics in Industrial Mathematics

Case Studies and Related Mathematical Methods

  • Helmut Neunzert
  • Abul Hasan Siddiqi

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Helmut Neunzert, Abul Hasan Siddiqi
    Pages 1-52
  3. Helmut Neunzert, Abul Hasan Siddiqi
    Pages 53-77
  4. Helmut Neunzert, Abul Hasan Siddiqi
    Pages 79-152
  5. Helmut Neunzert, Abul Hasan Siddiqi
    Pages 153-180
  6. Helmut Neunzert, Abul Hasan Siddiqi
    Pages 181-264
  7. Helmut Neunzert, Abul Hasan Siddiqi
    Pages 265-285
  8. Helmut Neunzert, Abul Hasan Siddiqi
    Pages 287-344
  9. Back Matter
    Pages 345-377

About this book

Introduction

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.

Keywords

Mathematica Monte Carlo method Wavelet algorithm algorithms calculus derivative finite element method image processing mathematics model modeling numerical methods optimization optimization algorithm

Authors and affiliations

  • Helmut Neunzert
    • 1
  • Abul Hasan Siddiqi
    • 2
    • 3
  1. 1.KaiserslauternGermany
  2. 2.AligahrIndia
  3. 3.DhahranSaudi Arabia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3222-1
  • Copyright Information Springer-Verlag US 2000
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4833-5
  • Online ISBN 978-1-4757-3222-1
  • Series Print ISSN 1384-6485
  • About this book