Mathematics In Industrial Problems
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Author | : Avner Friedman |
Publisher | : SIAM |
Total Pages | : 149 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 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.
Author | : Glenn Fulford |
Publisher | : Cambridge University Press |
Total Pages | : 220 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 9780521001816 |
An undergraduate text focussing on mathematical modelling stimulated by contemporary industrial problems.
Author | : C. R. MacCluer |
Publisher | : |
Total Pages | : 0 |
Release | : 2010 |
Genre | : Mathematical models |
ISBN | : 9780486477022 |
Students learn how to solve problems they'll encounter in their professional lives with this concise single-volume treatment. It employs MATLAB and other strategies to explore typical industrial problems. 2000 edition.
Author | : Murray S. Klamkin |
Publisher | : SIAM |
Total Pages | : 612 |
Release | : 1990-01-01 |
Genre | : Mathematics |
ISBN | : 0898712599 |
A compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959.
Author | : H Neunzert |
Publisher | : Springer Science & Business Media |
Total Pages | : 386 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 1475732228 |
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.
Author | : Avner Friedman |
Publisher | : Springer Science & Business Media |
Total Pages | : 183 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461573998 |
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.
Author | : Patrick Bangert |
Publisher | : Springer Science & Business Media |
Total Pages | : 264 |
Release | : 2012-01-05 |
Genre | : Mathematics |
ISBN | : 3642249744 |
Industrial optimization lies on the crossroads between mathematics, computer science, engineering and management. This book presents these fields in interdependence as a conversation between theoretical aspects of mathematics and computer science and the mathematical field of optimization theory at a practical level. The 19 case studies that were conducted by the author in real enterprises in cooperation and co-authorship with some of the leading industrial enterprises, including RWE, Vattenfall, EDF, PetroChina, Vestolit, Sasol, and Hella, illustrate the results that may be reasonably expected from an optimization project in a commercial enterprise. The book is aimed at persons working in industrial facilities as managers or engineers; it is also suitable for university students and their professors as an illustration of how the academic material may be used in real life. It will not make its reader a mathematician but it will help its reader in improving his plant.
Author | : Mangey Ram |
Publisher | : Academic Press |
Total Pages | : 420 |
Release | : 2020-10-02 |
Genre | : Mathematics |
ISBN | : 012818907X |
Advances in Mathematics for Industry 4.0 examines key tools, techniques, strategies, and methods in engineering applications. By covering the latest knowledge in technology for engineering design and manufacture, chapters provide systematic and comprehensive coverage of key drivers in rapid economic development. Written by leading industry experts, chapter authors explore managing big data in processing information and helping in decision-making, including mathematical and optimization techniques for dealing with large amounts of data in short periods. Focuses on recent research in mathematics applications for Industry 4.0 Provides insights on international and transnational scales Identifies mathematics knowledge gaps for Industry 4.0 Describes fruitful areas for further research in industrial mathematics, including forthcoming international studies and research
Author | : Mauro Fabrizio |
Publisher | : SIAM |
Total Pages | : 210 |
Release | : 1992-01-01 |
Genre | : Science |
ISBN | : 0898712661 |
Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.
Author | : Curtis R. Vogel |
Publisher | : SIAM |
Total Pages | : 195 |
Release | : 2002-01-01 |
Genre | : Mathematics |
ISBN | : 0898717574 |
Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.