Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

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

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Author: René Thom
Title: Stabilité Structurelle et Morphogénèse, Essai d'une Théorie Générale des Modèles
Additional book information: Benjamin, New York, 1971. 384 pp. $20.

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

  • 1. V. I. Arnold and A. Avez, Ergodic problems in classical mechanics, Gauthier-Villars, Paris, 1967; English transl., Benjamin, New York, 1968. MR 35 #334; 38 #1233.
  • 2. A. N. Godwin, Three dimensional pictures for Thom’s parabolic umbilic, Inst. Hautes Études Sci. Publ. Math. 40 (1971), 117–138. MR 0407885
  • 3. John Guckenheimer, Bifurcation and catastrophe, Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971) Academic Press, New York, 1973, pp. 95–109. MR 0345139
  • 4. John Guckenheimer, Catastrophes and partial differential equations, Ann. Inst. Fourier (Grenoble) 23 (1973), no. 2, 31–59 (English, with French summary). Colloque International sur l′Analyse et la Topologie Différentielle (Colloq. Internat. CNRS, No. 210, Strasbourg, 1972). MR 0365627
  • 5. Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 0388463, https://doi.org/10.1007/BF02392052
  • 6. P. D. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537–566. MR 0093653, https://doi.org/10.1002/cpa.3160100406
  • 7. S. Smale, On the mathematical foundations of electrical circuit theory, J. Differential Geometry 7 (1972), 193–210. MR 0322904
  • 8. M. W. Hirsch, C. C. Pugh, and M. Shub, Invariant manifolds, Bull. Amer. Math. Soc. 76 (1970), 1015–1019. MR 0292101, https://doi.org/10.1090/S0002-9904-1970-12537-X
  • 9. René Thom, Topologie et linguistique, Essays on topology and related topics (mémoires dédiés à Georges de Rham), Springer, New York, 1970, pp. 226–248. MR 0495268
    R. Tom, Topology and linguistics, Uspehi Mat. Nauk 30 (1975), no. 1(181), 199–221 (Russian). Translated from the French by Ju. I. Manin (Essays on topology and related topics (Mémoires dédiés à Georges de Rham), pp. 226–248, Springer, New York, 1970). MR 0495269
  • 10. E. C. Zeeman, Differential equations for the heartbeat and nerve impulse, Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971) Academic Press, New York, 1973, pp. 683–741. MR 0342207

Review Information:

Reviewer: John Guckenheimer
Journal: Bull. Amer. Math. Soc. 79 (1973), 878-890
DOI: https://doi.org/10.1090/S0002-9904-1973-13245-8