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Book Review
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Book Information
Author(s):
W. I. Fushchich and A. G. Nikitin
Title:
Symmetries of Maxwell's equations
Additional book information:
Translated by John R. Schulenberger. Mathematics and its Applications. D. Reidel Publishing Company, Dordrecht, 1987, xiv + 214 pp., $74.00. ISBN 90-277-2320-6
References:
- 1.
- H. Bateman, The conformal transformations of a space of four dimensions and their applications to geometrical optics, Proc. London Math. Soc. 7 (1909), 70-89.
- 2.
- G. Birkhoff, Hydrodynamics-A study in logic, fact and similitude, 1st ed., Princeton Univ. Press, Princeton, N. J., 1950. MR 38180
- 3.
- E. Cunningham, The principle of relativity in electrodynamics and an extension thereof, Proc. London Math. Soc. 8 (1909), 77-98.
- 4.
- V. Fock, Zur Theorie des Wasserstoffatoms, Z. Physik 98 (1935), 145-154.
- 5.
- E. L. Ince, Ordinary differential equations, Dover, New York, 1956. MR 10757
- 6.
- E. G. Kalnins, W. Miller, Jr. and G. C. Williams, Matrix operator symmetries of the Dirac equation and separation of variables, J. Math. Phys. 27 (1986), 1893-1900. MR 844233
- 7.
- I. A. Malkin and V. I. Man'ko, Symmetry of the hydrogen atom, Soviet J. Nuclear Phys. 3 (1966), 267-274. MR 204088
- 8.
- E. Noether, Invariante Variationsprobleme, Nachr. Konig. Gesell. Wissen. Gottingen, Math.-Phys. Kl. (1918), 235-257 (see Transport Theory and Stat. Phys. 1 (1971), 186-207 for an English translation). MR 406752
- 9.
- P. J. Olver, Applications of Lie groups to differential equations, Graduate Texts in Math., vol. 107, Springer-Verlag, New York, 1986. MR 836734
- 10.
- L. V. Ovsiannikov, Group analysis of differential equations, Academic Press, New York, 1982. MR 668703
- 11.
- F. Schwarz, Automatically determining symmetries of partial differential equations, Computing 34 (1985), 91-106. MR 793075
Additional Information:
Reviewer(s):
Peter J.
Olver
Review Information:
Journal:
Bull. Amer. Math. Soc.
19
(1988),
545-550.
DOI:
10.1090/S0273-0979-1988-15738-2
PII:
S 0273-0979(1988)15738-2
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