5th edition. — New York: Pearson, 2013. — 579 p.
This is a textbook for the standard introductory differential equations course taken by science and engineering students. Its updated content reflects the wide availability of technical computing environments like Maple, Mathematica, and MatLAB that now are used extensively by practicing engineers and scientists.
The traditional manual and symbolic methods are augmented with coverage of qualitative and computer-based methods that employ numerical computation and graphical visualization to develop greater conceptual understanding. A bonus of this more comprehensive approach is accessibility to a wider range of more realistic applications of differential equations.
This 5th edition is a comprehensive and wide-ranging revision. In addition to fine-tuning the exposition (both text and graphics) in numerous sections throughout the book, new applications have been inserted (including biological), and we have exploited throughout the new interactive computer technology that is now available to students on devices ranging from desktop and laptop computers to smart phones and graphing calculators. It also utilizes computer algebra systems such as Mathematica, Maple, and MatLAB as well as online web sites such as WolframjAlpha.
However, with a single exception of a new section inserted in Chapter 5 (noted below), the classtested table of contents of the book remains unchanged. Therefore, instructors’ notes and syllabi will not require revision to continue teaching with this new edition.
A conspicuous feature of this edition is the insertion of about 75 new computergenerated figures, many of them illustrating how interactive computer applications with slider bars or touchpad controls can be used to change initial values or parameters in a differential equation, allowing the user to immediately see in real time the resulting changes in the structure of its solutions