# Topics in Industrial Mathematics

## Case Studies and Related Mathematical Methods

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

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

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.

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

- 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
- Buy this book on publisher's site