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Main Title Modelling with differential equations /
Author Burghes, David N. ; Borrie, M. S.
Publisher E. Horwood ; Halsted [distributor],
Year Published 1981
OCLC Number 07544025
ISBN 0470271019; 9780470271018; 0853122865; 9780853122869; 0853122962; 9780853122968
Subjects Differential equations. ; Mathematical models. ; Differentialgleichung. ; Modellbau.
Additional Subjects Differential equations ; Mathematical models
Internet Access
Description Access URL
Table of contents
Library Call Number Additional Info Location Last
ELBM  QA372.B877 1981 AWBERC Library/Cincinnati,OH 01/01/1988
Collation 172 pages : illustrations ; 24 cm.
Includes bibliographical references (pages 169-170) and index.
Contents Notes
Motivated by the authors' combined ability and experience, this book is about the concepts of mathematical modelling with the use of differential equations, as a powerful technique of mathematical analysis. It is both enjoyable to read, and informative. The reader's mind is continually exercised by enlightenment, or recollection, or enquiry; either something new is to be learned, or something known is to be re-examined. It is with mathematical clarity that the authors explain the theory of ordinary differential equations and introduce their manifold applications. They show a skillful and imaginative succession of applications introducing such instances as accident risk or fish population; forgery detection in old masters or kidney life-support machines; and many others. They show the influence of these mathematical probes into problems occurring in biology, economics, geography, medicine, planning, psychology, or sociology. Introduction -- Growth and decay--the differential equation' dy [over] dx = ky' -- Variables separable differential equations -- Linear first order differential equations -- Linear second order differential equation -- Non-linear second order differential equations -- Systems of differential equations.