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Book Review
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Book Information
Author(s):
S. A. Lomov
Title:
Introduction to the general theory of singular perturbations
Additional book information:
Translations of Mathematical Monographs, vol. 112, American Mathematical Society, Providence, RI, 1992, xviii + 375 pp., US$201.00. ISBN 0-8218-4569-1
References:
- [1]
- N. N. Bogolyubov and Yu. A. Mitropol\cprime ski\u \i, Asymptotic methods in the theory of nonlinear oscillations, fourth ed., ``Nauka'', Moscow, 1974.
- [2]
- W. Eckhaus, Asymptotic analysis of singular perturbations, North-Holland, Amsterdam, 1979.
- [3]
- A. Erd\'elyi, An expansion procedure for singular perturbations, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. \textbf{95} (1961), 651--672.
- [4]
- J. Kevorkian and J. D. Cole, Perturbation methods in applied mathematics, Springer-Verlag, New York, 1981.
- [5]
- A. H. Nayfeh, Perturbation methods, Wiley, New York, 1973.
- [6]
- R. E. O'Malley, Jr., Introduction to singular perturbations, Academic Press, New York, 1974.
- [7]
- R. E. O'Malley, Jr., \rm Bull. Amer. Math. Soc. (N.S.) \textbf{7} (1981), 414--420.
- [8]
- L. Prandtl, \"Uber Fl\"ussigkeits-bewegung bei kleiner Reibung, \rm Verh. III, Int. Math. Kongresses, Teubner Leipzig, pp.~484--491.
- [9]
- D. R. Smith, Singular-perturbation theory, Cambridge Univ. Press, Cambridge, 1985.
- [10]
- M. Van Dyke, Perturbation methods in fluid dynamics, Academic Press, New York, 1964.
Additional Information:
Reviewer(s):
Walter
Kelley
Review Information:
Journal:
Bull. Amer. Math. Soc.
30
(1994),
258-261.
DOI:
10.1090/S0273-0979-1994-00459-8
PII:
S 0273-0979(1994)00459-8
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