Book Review
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MathSciNet review:
1567616
Full text of review:
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Book Information:
Author:
A. G. Ramm
Title:
Scattering by obstacles
Additional book information:
D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1986, xiv + 423 pp., $89.00. ISBN 90-277-2103-3.
Norman Bleistein, Mathematical methods for wave phenomena, Computer Science and Applied Mathematics, Academic Press, Inc., Orlando, FL, 1984. MR 755514
David Colton, The inverse scattering problem for time-harmonic acoustic waves, SIAM Rev. 26 (1984), no. 3, 323–350. MR 750453, DOI 10.1137/1026072
David L. Colton and Rainer Kress, Integral equation methods in scattering theory, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1983. A Wiley-Interscience Publication. MR 700400
C. L. Dolph, The integral equation method in scattering theory, Problems in analysis (papers dedicated to Salomon Bochner, 1969) Princeton Univ. Press, Princeton, N.J., 1970, pp. 201–227. MR 0348296
D. S. Jones, Acoustic and electromagnetic waves, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1986. MR 943347, DOI 10.1080/00224545.1986.9713656
Joseph B. Keller, Rays, waves and asymptotics, Bull. Amer. Math. Soc. 84 (1978), no. 5, 727–750. MR 499726, DOI 10.1090/S0002-9904-1978-14505-4
R. E. Kleinman and G. F. Roach, Boundary integral equations for the three-dimensional Helmholtz equation, SIAM Rev. 16 (1974), 214–236. MR 380087, DOI 10.1137/1016029
Peter D. Lax and Ralph S. Phillips, Scattering theory, Pure and Applied Mathematics, Vol. 26, Academic Press, New York-London, 1967. MR 0217440
Roger G. Newton, Scattering theory of waves and particles, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0221823
Michael Reed and Barry Simon, Methods of modern mathematical physics. III, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1979. Scattering theory. MR 529429
B. D. Sleeman, The inverse problem of acoustic scattering, IMA J. Appl. Math. 29 (1980), no. 2, 113–142. MR 679225, DOI 10.1093/imamat/29.2.113
Calvin H. Wilcox, Scattering theory for the d’Alembert equation in exterior domains, Lecture Notes in Mathematics, Vol. 442, Springer-Verlag, Berlin-New York, 1975. MR 0460927
- 1.
- N. Bleistein, Mathematical methods for wave phenomena, Academic Press, N. Y., 1984. MR 0755514
- 2.
- D. Colton, The inverse scattering problem for time harmonic acoustic waves, SIAM Review 26 (1984), 323-350. MR 750453
- 3.
- D. Colton and R. Kress, Integral equation methods in scattering theory, John Wiley, N. Y., 1983. MR 700400
- 4.
- C. L. Dolph, The integral equation method in scattering theory, Problems in Analysis (R. C. Gunning, ed.), Princeton Univ. Press, N. J., 1970, pp. 201-227. MR 348296
- 5.
- D. S. Jones, Acoustic and electromagnetic waves, Clarendon Press, Oxford, 1986. MR 943347
- 6.
- J. B. Keller, Rays, waves and asymptotics, Bull. Amer. Math. Soc. 84 (1978), 727-750. MR 499726
- 7.
- R. E. Kleinman and G. F. Roach, Boundary integral equations for the three dimensional Helmholtz equation, SIAM Review 16 (1974), 214-236. MR 380087
- 8.
- P. D. Lax and R. S. Phillips, Scattering theory, Academic Press, N. Y., 1967. MR 217440
- 9.
- R. G. Newton, Scattering theory of waves and particles, McGraw-Hill, N. Y., 1966. MR 221823
- 10.
- M. Reed and B. Simon, Scattering theory, Academic Press, N. Y., 1979. MR 529429
- 11.
- B. D. Sleeman, The inverse problem of acoustic scattering, IMA J. Appl. Math. 29 (1982), 113-142. MR 679225
- 12.
- C. H. Wilcox, Scattering theory for the d'Alembert equation in exterior domains, Lecture Notes in Math., vol. 442, Springer-Verlag, Berlin and New York, 1975. MR 460927
Review Information:
Reviewer:
David L. Colton
Journal:
Bull. Amer. Math. Soc.
16 (1987), 318-324
DOI:
https://doi.org/10.1090/S0273-0979-1987-15535-2
