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Book Information

Author(s): Tim Poston and Ian Stewart
Title: Catastrophe theory and its applications
Additional book information: Surveys and Reference Works in Mathematics, Pitman, London, 1978, xviii + 491 pp., $50.00

1.: V. I. Arnold, Lectures on bifurcations in versal families, Russian Math. Surveys 27 (1975), 54-123. MR 801647
2.: M. V. Berry and M. R. Mackley, The six roll mill: unfolding an unstable persistently extensional flow, Philos. Trans. Roy. Soc. London Ser. A 287 (1977), 1-16. MR 489464
3.: D. Chillingworth, Elementary catastrophe theory, Bull. Inst. Math. Appl. 11 (1975), 155-159. MR 494223
4.: J. J. Callahan, Singularities and plane maps, Amer. Math. Monthly 81 (1974), 211-240. MR 353336
5.: M. Golubitsky, An introduction to catastrophe theory and its applications, SIAM Rev. 20 (1978), 352-387. MR 470984
6.: M. Golubitsky and B. Keyfitz, A qualitative study of the steady-state solutions for a continuous flow stirred tank chemical reactor, SIAM J. Appl. Math. (submitted).
7.: M. Golubitsky and D. Schaeffer, A theory for imperfect bifurcation theory via singularity theory, Comm. Pure Appl. Math. (to appear). MR 508917
8.: M. Golubitsky and D. Schaeffer, Imperfect bifurcation in the presence of symmetry, Comm. Math. Phys. (to appear). MR 539727
9.: V. Poénaru, Singularities C, Lecture Notes in Math., vol. 510, Springer-Verlag, New York, 1976. MR 440597
10.: D. Schaeffer and M. Golubitsky, Bifurcation analysis near a double eigenvalue of a model chemical reaction, Arch. Rational Mech. Anal. (to appear). MR 607902
11.: D. Schaeffer and M. Golubitsky, Boundary conditions and mode jumping in the buckling of a rectangular plate, Comm. Pure Appl. Math. (submitted).
12.: S. Smale, Review of Catastrophe theory, Selected Papers, 1972-1977 by E. C. Zeeman, Bull. Amer. Math. Soc. 84 (1978), 1360-1367.
13.: I. N. Stewart, The seven elementary catastrophes, The New Scientist, Nov. 20, 1975, 447-454.
14.: H. J. Sussmann, Catastrophe theory, Synthèse 31 (1975), 229-270. MR 474381
15.: H. J. Sussmann and R. S. Zahler, Catastrophe theory as applied to the social and biological sciences: a critique, Synthèse 37 (1978), 117-216. MR 495176
16.: F. Takens, Singularities of vector fields, Inst. Hautes Étude Sci. Publ. Math. 43 (1973), 47-100. MR 339292
17.: R. Thom, Stabilité structurelle et morphogénèse, Benjamin, Reading, Mass., 1972; English transl, (by D. Fowler), 1975. MR 488155
18.: J. M. T. Thompson and G. W. Hunt, A general theory of elastic stability, Wiley, London, 1973. MR 400868
19.: J. M. T. Thompson and G. W. Hunt, Towards a unified bifurcation theory, J. Appl. Math. Phys. 26 (1975), 581-603. MR 388441
20.: E. C. Zeeman, Catastrophe theory, Sci. Amer. 234 (1976), 65-83.
21.: E. C. Zeeman, Catastrophe theory, Selected papers, 1972-1977, Addison-Wesley, Reading, Mass., 1977 MR 474383

Review Information:
Journal: Bull. Amer. Math. Soc. 1 (1979), 524-532.
DOI: 10.1090/S0273-0979-1979-14605-6
PII: S 0273-0979(1979)14605-6

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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