Description
In this Fifth Edition on the principal methods of solving differential equations, the authors take into account the easy availability of powerful calculators and personal computers. Discusses their use—with emphasis on geometrical interpretations and qualitative properties of solutions—and provides new problems which allow students to use computers in interesting and constructive ways. Also offers a variety of applications in both the physical and biological sciences.
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Textbook, for students who have a knowledge of calculus gained from a normal two- or three-semester course, combines an exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. This edition (4th was 1986) adds many new computer-generated graphs, more discussion of the geometrical or asymptotic properties of solutions, some 275 new problems, and two new sections one on first order difference equations, with an emphasis on the logistic equation, and one on the Lorenz equations. (See also following entry.) Annotation copyright Book News, Inc. Portland, Or.
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