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Book Review

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Book Information:

Authors: J. Kevorkian and J. D. Cole
Title: Perturbation methods in applied mathematics
Additional book information: Applied Mathematical Sciences, vol. 34, Springer-Verlag, Berlin and New York, 1981, x + 558 pp., $42.00.

Author: Ali Hasan Nayfeh
Title: Introduction to perturbation techniques
Additional book information: Wiley, New York, 1981, xiv + 519 pp., $29.95.

Carl M. Bender and Steven A. Orszag, Advanced mathematical methods for scientists and engineers, International Series in Pure and Applied Mathematics, McGraw-Hill Book Co., New York, 1978. MR 538168

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George D. Birkhoff, On the asymptotic character of the solutions of certain linear differential equations containing a parameter, Trans. Amer. Math. Soc. 9 (1908), no. 2, 219–231. MR 1500810, DOI 10.1090/S0002-9947-1908-1500810-1

N. N. Bogoliubov and Y. A. Mitropolsky, Asymptotic methods in the theory of non-linear oscillations, Translated from the second revised Russian edition, International Monographs on Advanced Mathematics and Physics, Hindustan Publishing Corp., Delhi, Gordon and Breach Science Publishers, Inc., New York, 1961. MR 0141845

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G. F. Carrier, Boundary layer problems in applied mechanics, Advances in Applied Mechanics, vol. 3, Academic Press, Inc., New York, N.Y., 1953, pp. 1–19. MR 0062315

Carl E. Pearson (ed.), Handbook of applied mathematics, Van Nostrand Reinhold Co., New York-Toronto-London, 1974. Selected results and methods. MR 0345470

Julian D. Cole, Perturbation methods in applied mathematics, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1968. MR 0246537

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Review Information:

Reviewer: R. E. O'Malley, Jr.

Journal: Bull. Amer. Math. Soc. 7 (1982), 414-420
DOI: https://doi.org/10.1090/S0273-0979-1982-15053-4