Book Review
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MathSciNet review:
1568126
Full text of review:
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Book Information:
Author:
V. V. Goryunov V. I. Arnol\cprime d, O. V. Lyashko
Title:
Dynamical systems VIII (singularity theory II), classification and applications
Additional book information:
Encylopaedia of Mathematical Sciences, vol. 39, Springer-Verlag, New York, 1993, 235 pp., US$89.00. ISBN 3-540-53376-1.
V. I. Arnol′d, Wave front evolution and equivariant Morse lemma, Comm. Pure Appl. Math. 29 (1976), no. 6, 557–582. MR 436200, DOI 10.1002/cpa.3160290603
V. I. Arnol′d, Catastrophe theory, 2nd ed., Springer-Verlag, Berlin, 1986. Translated from the Russian by G. S. Wassermann; Based on a translation by R. K. Thomas. MR 845781, DOI 10.1007/978-3-642-96937-9
S. P. Novikov (ed.), Dynamical systems. IV, Encyclopaedia of Mathematical Sciences, vol. 4, Springer-Verlag, Berlin, 1990. Symplectic geometry and its applications; A translation of Sovremennye problemy matematiki. Fundamental′nye napravleniya, Tom 4, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1985 [ MR0842907 (87j:58032)]; Translation by G. Wassermann; Translation edited by V. I. Arnol′d and S. P. Novikov. MR 1042758, DOI 10.1007/978-3-662-06793-2
E. J. N. Looijenga, Isolated singular points on complete intersections, London Mathematical Society Lecture Note Series, vol. 77, Cambridge University Press, Cambridge, 1984. MR 747303, DOI 10.1017/CBO9780511662720
John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. MR 0239612
Hassler Whitney, On singularities of mappings of euclidean spaces. I. Mappings of the plane into the plane, Ann. of Math. (2) 62 (1955), 374–410. MR 73980, DOI 10.2307/1970070
- [1]
- V. I. Arnold, Wave front evolution and equivariant Morse lemma, Comm. Pure Appl. Math. 29 (1976), 557-582. MR 0436200 (55:9148)
- [2]
- -, Catastrophe theory, Springer-Verlag, New York, Heidelberg, and Berlin, 1986. MR 845781 (87k:58038)
- [3]
- V. I. Arnol'd and A. B. Givental, Dynamical systems, IV. Symplectic geometry, Encyclopaedia Math. Sci., vol. 6, Springer, Berlin, 1993. MR 1042758 (90j:58039)
- [4]
- E. J. N. Looijenga, Isolated singular points of complete intersections, Cambridge Univ. Press, London and New York, 1984. MR 747303 (86a:32021)
- [5]
- J. W. Milnor, Singular points of complex hypersurfaces, Ann. of Math. Stud., vol. 61, Princeton Univ. Press, Princeton, NJ, 1968. MR 0239612 (39:969)
- [6]
- H. Whitney, On singularities of mappings of Euclidean spaces, I. Mappings of the plane into the plane, Ann. of Math. (2) 62 (1955), 374-410. MR 0073980 (17:518d)
Review Information:
Reviewer:
J. W. Bruce
Journal:
Bull. Amer. Math. Soc.
31 (1994), 283-288
DOI:
https://doi.org/10.1090/S0273-0979-1994-00533-6
