Modelling with Ordinary Differential Equations Review

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(More customer reviews)If you compare this book with a common calculus text of thirty years ago, that covers the same topics, you will notice one striking difference. Now, the pervasive presence of computers has meant that students can tackle problems that were totally impractical then.
The book reflects this advance by offering algorithms and problems for students to crank up their computers on. No longer are they restricted to only the elegant problems, with analytic answers. Now, "grubby" numbers can be crunched to give insight into problems.
The book also aims at students in the biological and social sciences, who typically do not deal much in differential equations beyond a simple predator-prey problem.
The treatment should be straightforward to most students, who only need a prior course on introductory calculus.

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Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.