The Application of Mathematics in Industry


Book Description

This publication reports the proceedings of a one-day seminar on The AppZicatian af Mathematics in Industry held at the Australian National University on Wednesday, December 3, 1980. It was organized jointly by the Division of Mathematics and Statistics, CSIRO, and the Departments of Pure and Applied Mathematics, The Faculty of Science, Australian National University. A paper based on the talk "Some uses of statistically designed experiments in industrial problems" given by N.B. Carter at the Seminar was not received by the editors. Though R.M. Lewis of John Lysaght (Australia) Limited did not present a talk, the editors invited him to submit a paper. They only learnt about his work after the program for the seminar had been finalized and publicized. His paper appears as the last paper in these proceedings and is entitled "A simple model for coil interior temperature prediction during batch annealing". The seminar was opened by Dr J.R. Philip, FAA, FRS, Director of the Physical Sciences Institute, CSIRO. He kindly agreed to supply an edited version of his comments for inclusion in the proceedings. They follow the Foreword as Opening Remarks.




Industrial Mathematics


Book Description

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.




Advances in Mathematics for Industry 4.0


Book Description

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




Mathematics in the Automotive Industry


Book Description

The first of its kind in the UK, the IMA conference on Mathematics in the Automotive Industry was intended to expose typical theoretical problems in this industry and the role that mathematics can play in their solution. The selected papers presented here emphasize the involvement ofengineering science and mathematical modelling in solving problems which arise from complex engineering situations. The automotive industry is concerned crucially with highly practical questions that need answers quickly. The analysis of vehice dynamics and control by automatic software generation and using algebraic manipulation codes is reviewed. Problems of current interest discussed include applying control theory to four-wheel steer, active and semi-active suspensions, continuously variable transmission, anddynamometer control. Further chapters review the modelling of acoustical phenomena in the context of automotive noise due to the engine and tyres. Others discuss the digital computer-induced changes in how the stylist's conception of a car is translated into actual panels and the mathematical definition of surfacefeatures such as pockets, channels, and ribs. Later, there are chapters on the accurate and realistic prediction of air-flow rate, temperature, and flow characteristics to aid engine design; the simulation of flame propagation and knock; and using component models to predict vehicle heating and cooling. The final four chapters discuss finite element analysis of anisotropic deformation and its use in, for example, analysing pressing or stamping operations; the sophisticated thermomechanical modelling of electrical components; and using well-tried algorithms to predict fatigue, and thus producenon-failing components.




A Survey of Industrial Mathematics


Book Description

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.




Mathematics and Climate


Book Description

Mathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth?s energy balance, temperature distribution, ocean circulation patterns such as El Ni?o?Southern Oscillation, ice caps and glaciation periods, the carbon cycle, and the biological pump. Among the mathematical and statistical techniques presented in the text are dynamical systems and bifurcation theory, Fourier analysis, conservation laws, regression analysis, and extreme value theory. The following features make Mathematics and Climate a valuable teaching resource: issues of current interest in climate science and sustainability are used to introduce the student to the methods of mathematics and statistics; the mathematical sophistication increases as the book progresses and topics can thus be selected according to interest and level of knowledge; each chapter ends with a set of exercises that reinforce or enhance the material presented in the chapter and stimulate critical thinking and communication skills; and the book contains an extensive list of references to the literature, a glossary of terms for the nontechnical reader, and a detailed index.




Advanced Numerical Methods for Differential Equations


Book Description

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models. This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science. Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.




Decision and Discrete Mathematics


Book Description

This text offers a complete coverage in the Decision Mathematics module, also known as Discrete Mathematics, of the syllabuses of English A-level examination boards. it is a rewritten and modern version of Decision Mathematics (published by Ellis Horwood Ltd in 1986 for The Spode Group, so well known for its development of innovative mathematics teaching). It is also a suitable text for foundation and first year undergraduate courses in qualitative studies or operational research, or for access courses for students needing strengthening in mathematics, or for students who are moving into mathematics from another subject discipline.Compact and concise, it reflects the combined teaching skills and experience of its authors who know exactly what mathematics must be learnt at the readership level today. The text is built up in modular fashion, explaining concepts used in decision mathematics and related operational research, and electronics. It emphasises an understanding of techniques and algorithms, which it relates to real life situations and working problems that will apply throughout future working careers. - Clear explanations of algorithms and all concepts - Plentiful worked examples, clear diagrams - Many exercises (with answers for self-study)




Topics in Industrial Mathematics


Book Description

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.




Industrial Mathematics


Book Description

This book provides a concise, single-source survey of all the mathematics most useful in industry today-- particularly modeling and the unit $. Each chapter begins with a brief review of some relevant mathematics; then introduces the industrial extension of this same material via typical real-world applications. The power of interweaving analytic with computing methods during problem solving is demonstrated throughout and MATLAB code is integrated into the flow of the narrative. A chapter on Technical Writing--covering formal technical reports, memos, progress reports, executive summaries, problem statements, overhead projector presentations--shows how to best present mathematical data in a variety of situations. Statistical Reasoning. Monte Carlo Methods. Data Acquisition and Manipulation. The Discrete Fourier Transform. Linear Programming. Regression. Cost Benefit Analysis. Microeconomics. Ordinary Differential Equations. Frequency Domain Methods. Partial Differential Equations. Divided Differences. Galerkin's Method. Splines. A handbook or reference for Engineers, Project Managers, Mathematical Consultants, Statisticians for a quick study of mathematical issues that may arise in the workplace.