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This book, based on a successful undergraduate course designed by the author, describes mathematical modelling and its application to the solution of problems in industry and commerce. In the early chapters of the book the author first sets out a clear introduction to the principles of mathematical modelling, including sections on the various methodologies of mathematical modelling and their relationship to systems methodologies. He then offers some insights into practical aspects of mathematical modelling and proceeds to describe the development and operation of the undergraduate course upon which the book is based. In the later chapters seven case studies, based on real problems contributed by mathematicians working in industry, are introduced. Each chapter describes a problem, the solution originally adopted and variations on that solution introduced by students over a number of years use of the case studies.

Mathematical models.

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Numerical analysis --- Partial differential equations --- Probability theory --- Engineering mathematics. --- Mathématiques de l'ingénieur --- 51-7 --- Engineering mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematics --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathématiques de l'ingénieur --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc

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Numerical analysis --- geometrie --- Probability theory --- Matlab (informatica) --- Complex analysis --- Maple (informatica) --- Partial differential equations

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1. Numbers, algebra end geometry 2. Functions 3. Complex numbers 4. Vector algebra 5. Matrix algebra 6. An introduction to discrete mathematics 7. Sequences, series and limits 8. Differentiation and integration 9. Further calculus 10. Introduction to ordinary differential equations 11. Introduction to Laplace transforms 12. Data handling and probability theory Appendix

Analyse (wiskunde) --- Toegepaste wiskunde --- Analyse (wiskunde). --- Toegepaste wiskunde. --- Engineering mathematics --- Engineering mathematics. --- Basic Sciences. Mathematics --- Mathematics (General) --- Mathematics (General). --- Engineering sciences. Technology --- Mathematics --- Engineering --- Mathematics.

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Engineering mathematics. --- Engineering mathematics --- 51-7 --- Engineering --- Engineering analysis --- Mathematical analysis --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Mathematics --- Numerical analysis --- wiskunde --- ingenieurswetenschappen --- Probability theory --- Algebra --- Number theory --- Analyse (wiskunde). --- Toegepaste wiskunde. --- mathematics --- computer applications --- Mathematical models --- engineering