Mathematical Preliminaries.- Introductory Applications.- Further Applications.- The Method of Multiple Scales.- Some Worked Examples Arising from Physical Problems.
Foreword.- Preface.- Mathematical Preliminaries.- Introductory Applications.- Further Applications.- The Method of Multiple Scales.- Some Worked Examples arising from Physical Problems.- Appendix.- Answers and Hints.- References.- Subject Index.
The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, is well established. The purpose of the set of volumes to which the present one belongs is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume provides a detailed introduction to a specific subject area of current importance that is summarized below, and then goes beyond this by reviewing recent contributions, and so serving as a valuable reference source. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems would otherwise have been impossible.
Written in a form that should enable the relatively inexperienced (or new) worker in the field of singular perturbation theory to learn and apply all the essential ideas
Designed as a learning tool. The numerous examples and set exercises are intended to aid this process