Record Display for the EPA National Library CatalogRECORD NUMBER: 37 OF 74
|Main Title||Mathematical modelling /|
|Author||Andrews, J. G. ; McLone, Ronald Redman.|
|Subjects||Problem solving ; Mathematical models ; Wiskundige modellen ; Mathematisches Modell|
|Additional Subjects||Problem solving ; Mathematical models|
|Collation||xvii, 260 pages : illustrations ; 24 cm|
Includes bibliographical references and index.
Mathematical modelling--the art of applying mathematics / R.R. McLone -- Steering problems / J.W. Craggs -- Why build three-stage rockets? / B. Noble -- Liquid flowing from a container / N. Curle -- Molecular models / G.G. Hall -- Drilling holes with a laser / J.G. Andrews and D.R. Atthey -- Stress analysis--structures and the birth of the finite-element method / O.C. Zienkiewicz -- Population models / G. Murdie -- A differential model of Diabetes Mellitus / M.J. Davies -- Stochastic models for road traffic situations / Winifred D. Ashton -- Business planning model / T. Lomas -- The control of the grade structure in a university / D.J. Batholomew -- A mathematical model for motor insurance / R.E. Beard -- A military application of game theory / W. Hill -- Network flow models / B.A. Carré -- Urban structure / R.H. Atkin -- Structural stability of mathematical models: the role of the catastrophe method / D.R.J. Chillingworth. "Mathematical modelling is the art of applying mathematics to a real-life situation. A good model recognises the relevant features of a problem by means of a judicious choice of assumptions and has a well-defined mathematical structure from which the quantities of practical interest can be derived. The traditional academic course in mathematics provides instruction in formal techniques for developing existing models but usually fails to help in devising new models for problems facing the practising mathematician in the real world. To give the student an insight into the process by which mathematicians adapt their mathematics to real-life situations, the Editors have assembled case studies from the fields of engineering, physics, chemistry, biology, medicine, operational research, business planning and social studies. Each case study, written by an expert in the particular subject, demonstrates the particular elements and style of mathematical structure required for the practical situation. Together with each case study are problems for further study of both a 'closed' and 'open'-ended nature"--Back cover.