Book Review
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MathSciNet review:
1568094
Full text of review:
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Book Information:
Author:
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.
N. N. Bogolyubov and yu. A. Mitropol′skiĭ, Asimptoticheskie metody v teorii nelineĭ nykh kolebaniĭ, Izdat. “Nauka”, Moscow, 1974 (Russian). Fourth edition, revised and augmented. MR 0374550
Wiktor Eckhaus, Asymptotic analysis of singular perturbations, Studies in Mathematics and its Applications, vol. 9, North-Holland Publishing Co., Amsterdam-New York, 1979. MR 553107
Arthur Erdélyi, An expansion procedure for singular perturbations, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 95 (1960/61), 651–672. MR 137407
J. Kevorkian and Julian D. Cole, Perturbation methods in applied mathematics, Applied Mathematical Sciences, vol. 34, Springer-Verlag, New York-Berlin, 1981. MR 608029
Ali Hasan Nayfeh, Perturbation methods, Pure and Applied Mathematics, John Wiley & Sons, New York-London-Sydney, 1973. MR 0404788
Robert E. O’Malley Jr., Introduction to singular perturbations, Applied Mathematics and Mechanics, Vol. 14, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1974. MR 0402217
[7] -, Bull. Amer. Math. Soc. (N.S.) 7 (1981), 414-420.
[8] L. Prandtl, Über Flüssigkeits-bewegung bei kleiner Reibung, Verh. III, Int. Math. Kongresses, Teubner Leipzig, pp. 484-491.
Donald R. Smith, Singular-perturbation theory, Cambridge University Press, Cambridge, 1985. An introduction with applications. MR 812466
Milton Van Dyke, Perturbation methods in fluid mechanics, Applied Mathematics and Mechanics, Vol. 8, Academic Press, New York-London, 1964. MR 0176702
- [1]
- N. N. Bogolyubov and Yu. A. Mitropol'skiï, Asymptotic methods in the theory of nonlinear oscillations, fourth ed., "Nauka", Moscow, 1974; English transl. of second ed., Internat. Monographs Advanced Math. Physics, Hindustan, Delhi, 1961. MR 0374550 (51:10750)
- [2]
- W. Eckhaus, Asymptotic analysis of singular perturbations, North-Holland, Amsterdam, 1979. MR 553107 (81a:34048)
- [3]
- A. Erdélyi, An expansion procedure for singular perturbations, Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 95 (1961), 651-672. MR 0137407 (25:859)
- [4]
- J. Kevorkian and J. D. Cole, Perturbation methods in applied mathematics, Springer-Verlag, New York, 1981. MR 608029 (82g:34082)
- [5]
- A. H. Nayfeh, Perturbation methods, Wiley, New York, 1973. MR 0404788 (53:8588)
- [6]
- R. E. O'Malley, Jr., Introduction to singular perturbations, Academic Press, New York, 1974. MR 0402217 (53:6038)
- [7]
- -, Bull. Amer. Math. Soc. (N.S.) 7 (1981), 414-420.
- [8]
- L. Prandtl, Über Flüssigkeits-bewegung bei kleiner Reibung, Verh. III, Int. Math. Kongresses, Teubner Leipzig, pp. 484-491.
- [9]
- D. R. Smith, Singular-perturbation theory, Cambridge Univ. Press, Cambridge, 1985. MR 812466 (87d:34001)
- [10]
- M. Van Dyke, Perturbation methods in fluid dynamics, Academic Press, New York, 1964. MR 0176702 (31:974)
Review Information:
Reviewer:
Walter Kelley
Journal:
Bull. Amer. Math. Soc.
30 (1994), 258-261
DOI:
https://doi.org/10.1090/S0273-0979-1994-00459-8
