An Introduction to Differential Equations and Their Applications

Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition. Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear differential equations and chaos, and partial differential equations. Numerous figures, problems with solutions, and historical notes clarify the text.An Introduction to Differential Equations and Their Applications is written by Stanley J. Farlow and published by Dover Publications. ISBNs for An Introduction to Differential Equations and Their Applications are 9780486135137, 0486135136 and the print ISBNs are 9780486445953, 048644595X.