Description
Book SynopsisThis book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.
Trade Review"The reader shall also benefit from numerous exercises which conclude each chapter along with helpful bibliographic comments and extensive lists of recommended literature ... Most chapters can be studied independently of each other. This allows one to select material appropriate for the one semester course whereas all the topics can be presented in one year. The text contains enough material to support courses on advanced engineering mathematics, mathematical methods or mathematical physics and thus is warmly recommended as supplementary reading. The book shall also prove very helpful to specialists who look for a well-written introduction to basic mathematical techniques used for solving applied problems."Zentralblatt MATH
Table of ContentsTrigonometric Relations and Fourier Analysis; Gamma, Beta, Zeta and Other Special Functions; Qualitative Methods for Ordinary Differential Equations; Difference Equations; Sturm-Liouville Problems; Special Functions and Their Properties; Perturbation Methods for Oscillatory Systems; Approximations of Integrals and Sums; Some Important Nonlinear Partial Differential Equations
