Singular Perturbation Theory

1. Front Matter

   Pages i-xvi

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2. Mathematical Preliminaries

   Pages 1-46

3. Introductory Applications

   Pages 47-113

4. Further Applications

   Pages 115-156

5. The Method of Multiple Scales

   Pages 157-195

6. Some Worked Examples Arising from Physical Problems

   Pages 197-268

7. Back Matter

   Pages 269-292

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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.

• Mathematica
• differential equation
• fluid mechanics
• mechanics
• particle physics
• physics
• ordinary differential equations

From the reviews:

"It is based on material taught by the author … and is very much a textbook, filled with a very large number of worked examples and end-of-chapter exercises, with answers and hints for the latter in the back of the book. … Appropriate references are cited throughout the book. … It would be an excellent text for an applied mathematics course on singular perturbations. Its accessibility and clarity would make it equally valuable to someone not familiar with the subject … ." (Stanley A. Berger, AIAA Journal, Vol. 44 (4), 2006)

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