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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Authors: V. I. Arnol′d, S. M. Gusein-Zade and A. N. Varchenko
Title: Singularities of differentiable maps, Vol. 1. The classification of critical sets, caustics and wave fronts
Additional book information: translated from Russian by Ian Porteous. Birkhäuser, Boston, Basel and Stuttgart, 1985, x + 382 pp., $44.95. ISBN 0-8176-3187-9.

References [Enhancements On Off] (What's this?)

  • 1. V. I. Arnol'd, Singularities of smooth mappings, Russian Math. Surveys 23:1 (1968), 1-43. MR 226655
  • 2. T. Bröcker, Differentiable germs and catastrophes (transl. by L. Lander), London Math. Soc. Lecture Note Series, no. 17, Cambridge Univ. Press, Cambridge and New York, 1975. MR 494220
  • 3. C. G. Gibson, Singular points of smooth mappings, Research Notes in Mathematics, vol. 25, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1979. MR 533668
  • 4. M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Graduate Texts in Math., vol. 14, Springer-Verlag, Berlin and New York, 1973. MR 341518
  • 5. Jean Martinet, Singularities of smooth functions and maps, London Mathematical Society Lecture Note Series, vol. 58, Cambridge University Press, Cambridge-New York, 1982. Translated from the French by Carl P. Simon. MR 671585
  • 6. J. Milnor, Singular points of complex hypersurfaces, Ann. of Math. Studies, no. 61, Princeton Univ. Press, Princeton, N. J., 1968. MR 239612
  • 7. C. T. C. Wall, Finite determinacy of smooth map-germs, Bull. London Math. Soc. 13 (1981), no. 6, 481–539. MR 634595, https://doi.org/10.1112/blms/13.6.481

Review Information:

Reviewer: C. T. C. Wall
Journal: Bull. Amer. Math. Soc. 17 (1987), 183-186
DOI: https://doi.org/10.1090/S0273-0979-1987-15557-1
American Mathematical Society