Hardcover

ISBN 10: 0127130500 ISBN 13: 9780127130507

Publisher: Academic Press Inc, 1964

Techniques for treating regular and singular perturbations are illustrated by application to problems of fluid motion. In particular, the method of matched asymptotic expansions is applied to the aerodynamics of airfoils and wings, and to viscous flow at high and low Reynolds numbers. Other topics include the methods of strained coordinates and of multiple scales, and the improvement of series.

About the Author:

Milton Van Dyke is a professor emeritus of Stanford University who held joint appointments in Aero/Astro and Mechanical Engineering.

Review:

Long established as one of the most useful references available in the area of regular and singular perturbation techniques. --F. B. Sleator, Mathematical Reviews

This is a book which should be in the possession of all graduate students in engineering and applied mathematics embarking on research in fluid mechanics --B. A. Woods, Aeronautical Journal

It is hard to imagine any fluid dynamicist or for that matter any scientist using asymptotic methods who has not used Milton Van Dyke's book at some time. Althouth other fine books on similar and related topies have appeared since publication of "Perturbation Methods" in 1964, Van Dyke's treatment remains unique and useful. --L. Sirovich, Quarterly of Applied Mathematics