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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.
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.
This monograph contains results of recent research interests concerning solution strategies employed for solving real life problems pertaining to modelling and scientific computing, control and optimizations, and financial mathematics.
An undergraduate text focussing on mathematical modelling stimulated by contemporary industrial problems.
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.
Describes industrial problems presented at a graduate-level modeling workshop. An ideal reference for mathematical modeling, signal processing, & applied control courses.
Computer Applications -- Physical Sciences and Engineering.