Mathematical Modelling

Concepts and Case Studies

  • J. Caldwell
  • Y. M. Ram

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

Table of contents

  1. Front Matter
    Pages I-XII
  2. Continuous & Discrete Modelling

    1. Front Matter
      Pages 1-1
    2. J. Caldwell, Y. M. Ram
      Pages 3-32
    3. J. Caldwell, Y. M. Ram
      Pages 33-65
    4. J. Caldwell, Y. M. Ram
      Pages 67-141
    5. J. Caldwell, Y. M. Ram
      Pages 143-173
    6. J. Caldwell, Y. M. Ram
      Pages 175-199
  3. Case Studies

    1. Front Matter
      Pages 201-201
    2. J. Caldwell, Y. M. Ram
      Pages 203-226
    3. J. Caldwell, Y. M. Ram
      Pages 227-242
    4. J. Caldwell, Y. M. Ram
      Pages 243-260
    5. J. Caldwell, Y. M. Ram
      Pages 261-280
  4. Back Matter
    Pages 281-287

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.


Algebra Vibration calculus linear algebra model modeling partial differential equation

Authors and affiliations

  • J. Caldwell
    • 1
  • Y. M. Ram
    • 2
  1. 1.City University of Hong KongKowloonHong Kong
  2. 2.Louisiana State UniversityBaton RougeUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5263-6
  • Online ISBN 978-94-017-2201-8
  • Series Print ISSN 1386-2960
  • Buy this book on publisher's site