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Linear turning point theory. (English) Zbl 0558.34049
Applied Mathematical Sciences, 54. New York etc.: Springer-Verlag. IX, 246 p. DM 128.00 (1985).

The book deals with linear analytic differential equations with a small parameter and is of considerable value to an applied mathematician. A beginning graduate student in mathematics can hardly understand the material presented, despite the author’s claim otherwise. The book is well organized and divided into twelve chapters (including an appendix). The subject matter progresses in a natural order. The author deserves credit for collecting and arranging the material presented.

Editorial comment: An extensive review by Nicholas D. Kazarinoff can be found in Bull. Am. Math. Soc., New Ser. 15, No. 2, 252–254 (1986),

http://projecteuclid.org/euclid.bams/1183553483.

Reviewer: P.N.Bajaj

MSC:
34E20Asymptotic singular perturbations, turning point theory, WKB methods (ODE)
34-02Research monographs (ordinary differential equations)
34E99Asymptotic theory of ODE