Bulletin of the American Mathematical Society

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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.

V. I. Arnol′d, Singularities of smooth mappings, Uspehi Mat. Nauk 23 (1968), no. 1, 3–44 (Russian). MR 0226655

Th. Bröcker, Differentiable germs and catastrophes, London Mathematical Society Lecture Note Series, No. 17, Cambridge University Press, Cambridge-New York-Melbourne, 1975. Translated from the German, last chapter and bibliography by L. Lander. MR 0494220

C. G. Gibson, Singular points of smooth mappings, Research Notes in Mathematics, vol. 25, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1979. MR 533668

M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Graduate Texts in Mathematics, Vol. 14, Springer-Verlag, New York-Heidelberg, 1973. MR 0341518

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

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

C. T. C. Wall, Finite determinacy of smooth map-germs, Bull. London Math. Soc. 13 (1981), no. 6, 481–539. MR 634595, DOI 10.1112/blms/13.6.481

1.

V. I. Arnol'd, Singularities of smooth mappings, Russian Math. Surveys 23:1 (1968), 1-43. MR 0226655

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 Math., no. 25, Pitman, New York, 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.

J. Martinet, Singularities of functions and differentiable maps, London Math. Soc. Lecture Note Series, no. 58, Cambridge Univ. Press, Cambridge and New York, 1982. 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. 12 (1980), 401-421. MR 634595