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Industrial Mathematics

Author: Avner Friedman

Publisher: SIAM

Published: 1994-01-01

Total Pages: 149

ISBN-13: 9781611971545

Industrial mathematics is a fast growing field within the mathematical sciences. It is characterized by the origin of the problems which it engages; they all come from industry: research and development, finances, and communications. The common feature running through this enterprise is the goal of gaining a better understanding of industrial models and processes through mathematical ideas and computations. The authors of this book have undertaken the approach of presenting real industrial problems and their mathematical modeling as a motivation for developing mathematical methods that are needed for solving the problems. With each chapter presenting one important problem that arises in today's industry, and then studying the problem by mathematical analysis and computation, this book introduces the reader to many new ideas and methods from ordinary and partial differential equations, and from integral equations and control theory. It brings the excitement of real industrial problems into the undergraduate mathematical curriculum. The problems selected are accessible to students who have already taken what in many colleges and universities constitutes the first two-year basic Calculus sequence. A working knowledge of Fortran, Pascal, or C language is required.

Mathematics in Industrial Problems

Author: Avner Friedman

Publisher: Springer Science & Business Media

Published: 1996-10-25

Total Pages: 204

ISBN-13: 9780387948652

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This is the eighth volume in the series "Mathematics in Industrial Prob lems." The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots level"; that is, at the level of specific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chapters usually provide references to the mathematical literature and a list of open problems that are of interest to industrial scientists. For some problems, a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the previous volume, as well as references to papers in which such solutions have been published.

Mathematics in Industrial Problems

Author: Avner Friedman

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 200

ISBN-13: 1461390982

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This is the third volume in the series "Mathematics in Industrial Prob lems." The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots"; that is, at the level of spe cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufac ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap ters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the second volume, as well as references to papers in which such solutions have been published.

Mathematical Methods for Industrial Problems

Author: Vincenzo Capasso

Publisher: VSP

Published: 1990

Total Pages: 348

ISBN-13: 9789067641227

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The design of more and more powerful computers, robots, flexible machine systems, etc. has increased the role of mathematicians in the field of high technology. To explore this role an International Workshop on the Mathematical Methods for Industrial Problems was held in Bari, Italy, 3--5 September 1988. The scope of the workshop was to exchange ideas and discuss problems encountered in the formulation, analysis and computer simulation of mathematical models of industrial processes. Problems of validation of models vs experimental data were also considered. This Proceedings volume contains the invited talks by lectures from universities and research centers involved in university--industry collaboration in the mathematical sciences. Also included are papers from experts from industries on mathematical problems arising in industry and the methods employed to solve them.

Mathematics in Industrial Problems

Author: Avner Friedman

Publisher: Springer Science & Business Media

Published: 1997-01-24

Total Pages: 230

ISBN-13: 9780387949451

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The 9th volume in Avner Friedmans collection of Mathematics in Industrial problems. Fostering interaction between industry and mathematics at the "grass roots" level, the problems presented here arise from models developed by industrial scientists engaged in R&D of new or improved products. Topics explored in this volume include diffusion in porous media and in rubber/glass transition, coating flows, solvation of molecules, semiconductor processing, optoelectronics, photographic images, density-functional theory, sphere packing, performance evaluation, causal networks, electrical well logging, general positioning system, sensor management, pursuit-evasion algorithms, and nonlinear viscoelasticity. Open problems and references are incorporated throughout and the final chapter contains some solutions to problems raised in earlier volumes.

Industrial Mathematics

Author: Glenn Fulford

Publisher: Cambridge University Press

Published: 2002

Total Pages: 220

ISBN-13: 9780521001816

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An undergraduate text focussing on mathematical modelling stimulated by contemporary industrial problems.

Congressional Serial Set

Author: United States. Congress. Conference Committees, 1978

Publisher:

Published: 1978

Total Pages: 1010

ISBN-13:

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Currents in Industrial Mathematics

Author: Helmut Neunzert

Publisher: Springer

Published: 2015-11-01

Total Pages: 440

ISBN-13: 3662482584

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This book offers an insider's view of how industrial problems are translated into mathematics and how solving the mathematics leads to convincing industrial solutions as well. In 6 technical chapters, a wide range of industrial problems is modeled, simulated, and optimized; 4 others describe the modeling, computing, optimization, and data analysis concepts shaping the work of the Fraunhofer ITWM. Each technical chapter illustrates how the relevant mathematics has been adapted or extended for the specific application and details the underlying practical problem and resulting software. The final chapter shows how the use of mathematical modeling in the classroom can change the image of this subject, making it exciting and fun.

Topics in Industrial Mathematics

Author: H Neunzert

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 386

ISBN-13: 1475732228

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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.

Mathematics in Industrial Problems

Author: Avner Friedman

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 232

ISBN-13: 1461574056

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Developed from the cooperation between mathematicians and industrial scientists on the "grass roots" level of specific problems, this book is the most recent in a collection of self-contained volumes which present industrial problems to mathematicians. Topics include: imaging and visualization, diffusion in glassy and swelling polymers, composite materials, plastic flows, coating of fiber optics, communications, colloidal dispersion, stress in semiconductors, micromagnetics, photobleaching, and machine vision. Many chapters offer open problems and references, while the last chapter contains solutions to problems raised in previous volumes of Mathematics in Industrial Problems, Parts 2, 3, and 4, published in the IMA series as Volumes 24, 31, and 38 respectively.