Ordinary Differential Equations: Applications, Models, and Computing [With CDROM] (Textbooks in Mathematics) - Hardcover

Roberts, Charles

9781439819081: Ordinary Differential Equations: Applications, Models, and Computing [With CDROM] (Textbooks in Mathematics)

Hardcover

ISBN 10: 1439819084 ISBN 13: 9781439819081

Verlag: CHAPMAN & HALL, 2010

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"Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elementary. Designed to be independent of any particular software package, Ordinary DifferentialEquations: Applications, Models, and Computing emphasizes the use of computer software in solving various types of differential equations." "Providing an even balance between theory, computer solution, and application, the text discusses the theorems andapplications of the first-order initial value problem, including learning theory models, population growth models, epidemic models, and chemical reactions. It then examines the theory for n-th order linear differential equations and the Laplace transformand its properties, before addressing several linear differential equations with constant coefficients that arise in physical and electrical systems." "The author also presents systems of first-order differential equations as well as linear systems with constant coefficients that arise in physical systems, such as coupled spring-mass systems, pendulum systems, the path of an electron, and mixture problems. The final chapter introduces techniques for determining the behavior of solutions to systems of first-order differential equations without first finding the solutions."--BOOK JACKET.

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