This second edition provides a broad range of methods and concepts required for the analysis and solution of equations which arise in the modeling of phenomena in the natural, engineering, and applied mathematical sciences. It may be used productively by both undergraduate and graduate students, as well as others who wish to learn, understand, and apply these techniques. Detailed discussions are also given for several topics that are not usually included in standard textbooks at this level of presentation: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations and several perturbation procedures. Further, this second edition includes several new topics covering functional equations, the Lambert-W function, nonstandard sets of periodic functions, and the method of dominant balance. Each chapter contains a large number of worked examples and provides references to the appropriate books and literature.
- ISBN13 9789813202702
- Publish Date 23 February 2017 (first published 14 April 2004)
- Publish Status Active
- Publish Country SG
- Publisher World Scientific Publishing Co Pte Ltd
- Imprint WS Professional
- Edition Second Edition
- Format Hardcover
- Pages 640
- Language English
- URL https://worldscientific.com/worldscibooks/10.1142/10331