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Mathematical Modelling: A Tool for Problem Solving in Engineering, Physical, Biological and Social Sciences(International Series in Modern Applied Mathematics and Computer Science)

Mathematical Modelling: A Tool for Problem Solving in Engineering, Physical, Biological and Social Sciences(International Series in Modern Applied Mathematics and Computer Science)

          
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About the Book

The critical step in the use of mathematics for solving real world problems is the building of a suitable mathematical model. This book advocates a novel approach to the teaching of the building process for mathematical models, with emphasis on the art as well as the science aspects. Using a case study approach, the book teaches the mathematical modelling process in a comprehensive framework, presenting an overview of the concepts and techniques needed for modelling. The book is structured in three parts; the first dealing with the science aspect; the second dealing with the art aspects; and the third combining self learning exercises for the student and supplementary resource material for the instructor.

Table of Contents:
Section headings and selected contents: Part I: Methodology and Tools: Role of Mathematics in Problem Solving. The nature of mathematical modelling. Problem Definition: The Starting Point. Case study E: World population. System Characterization. Static vs dynamic. Mathematical Modelling. Analog and simulation models. Mathematical Formulations - I. Partial differential equation (P.D.E) formulations. Analysis of Mathematical Formulations - I. Types of computers and the nature of computed solutions. Mathematical Formulations - II. Discrete state/continuous time formulations. Analysis of Mathematical Formulations - II. Analysis of stochastic processes. Simulation. Digital simulation methodology. Parameter Estimation. Stochastic model parameter estimation. Design of Experiment. Response surface design. Validation. Validation of stochastic models. Pitfalls in Modelling. Part II: Case Studies: Dynamics of Malaria Spread. System characterization. Designing a Pneumatic Pump. Forecasting Airline Passenger Growth. Part III: Supplementary Material: Modelling Exercises. Reference Material. Index.


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Product Details
  • ISBN-13: 9780080372440
  • Publisher: Elsevier Science & Technology
  • Publisher Imprint: Pergamon Press
  • Language: English
  • Sub Title: A Tool for Problem Solving in Engineering, Physical, Biological and Social Sciences
  • ISBN-10: 0080372449
  • Publisher Date: 12 Mar 1990
  • Binding: Hardback
  • Series Title: International Series in Modern Applied Mathematics and Computer Science


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Mathematical Modelling: A Tool for Problem Solving in Engineering, Physical, Biological and Social Sciences(International Series in Modern Applied Mathematics and Computer Science)
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