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Mathematical Modelling

Concepts and Case Studies

  • Book
  • © 1999

Overview

Authors:
  1. J. Caldwell

    1. City University of Hong Kong, Kowloon, Hong Kong

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    You can also search for this author in PubMed   Google Scholar

  2. Y. M. Ram

    1. Louisiana State University, Baton Rouge, USA

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematical Modelling: Theory and Applications (MMTA, volume 6)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
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  2. Continuous & Discrete Modelling

    1. Front Matter

      Pages 1-1
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    2. Formulation of Mathematical Models

      • J. Caldwell, Y. M. Ram
      Pages 3-32

    3. Compartment Problems

      • J. Caldwell, Y. M. Ram
      Pages 33-65

    4. Models in Dynamics and Vibration

      • J. Caldwell, Y. M. Ram
      Pages 67-141

    5. Discrete Models

      • J. Caldwell, Y. M. Ram
      Pages 143-173

    6. Numerical Techniques for Model Nonlinear PDE’s

      • J. Caldwell, Y. M. Ram
      Pages 175-199

  3. Case Studies

    1. Front Matter

      Pages 201-201
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    2. The Design of Biotreatment Systems

      • J. Caldwell, Y. M. Ram
      Pages 203-226

    3. Dynamics of Contagious Disease

      • J. Caldwell, Y. M. Ram
      Pages 227-242

    4. Numerical Cam Design

      • J. Caldwell, Y. M. Ram
      Pages 243-260

    5. Dynamics and Force Analysis of a Mechanism

      • J. Caldwell, Y. M. Ram
      Pages 261-280

  4. Back Matter

    Pages 281-287
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Keywords

About this book

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science and engineering. There has been a constant movement in the emphasis from developing proficiency in purely mathematical techniques to an approach which caters for industrial and scientific applications in emerging new technologies. In this textbook we have attempted to present the important fundamental concepts of mathematical modelling and to demonstrate their use in solving certain scientific and engineering problems. This text, which serves as a general introduction to the area of mathematical modelling, is aimed at advanced undergraduate students in mathematics or closely related disciplines, e.g., students who have some prerequisite knowledge such as one-variable calculus, linear algebra and ordinary differential equations. Some prior knowledge of computer programming would be useful but is not considered essential. The text also contains some more challenging material which could prove attractive to graduate students in engineering or science who are involved in mathematical modelling. In preparing the text we have tried to use our experience of teaching mathematical modelling to undergraduate students in a wide range of areas including mathematics and computer science and disciplines in engineering and science. An important aspect of the text is the use made of scientific computer software packages such as MAPLE for symbolic algebraic manipulations and MA TLAB for numerical simulation.

Authors and Affiliations

  • City University of Hong Kong, Kowloon, Hong Kong

    J. Caldwell

  • Louisiana State University, Baton Rouge, USA

    Y. M. Ram

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