Book Review
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MathSciNet review:
1566688
Full text of review:
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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.
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.
A. N. Godwin, Three dimensional pictures for Thom’s parabolic umbilic, Inst. Hautes Études Sci. Publ. Math. 40 (1971), 117–138. MR 407885
John Guckenheimer, Bifurcation and catastrophe, Dynamical systems (Proc. Sympos., Univ. Bahia, Salvador, 1971) Academic Press, New York, 1973, pp. 95–109. MR 0345139
John Guckenheimer, Catastrophes and partial differential equations, Ann. Inst. Fourier (Grenoble) 23 (1973), no. 2, 31–59 (English, with French summary). MR 365627
Lars Hörmander, Fourier integral operators. I, Acta Math. 127 (1971), no. 1-2, 79–183. MR 388463, DOI 10.1007/BF02392052
P. D. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537–566. MR 93653, DOI 10.1002/cpa.3160100406
S. Smale, On the mathematical foundations of electrical circuit theory, J. Differential Geometry 7 (1972), 193–210. MR 322904
M. W. Hirsch, C. C. Pugh, and M. Shub, Invariant manifolds, Bull. Amer. Math. Soc. 76 (1970), 1015–1019. MR 292101, DOI 10.1090/S0002-9904-1970-12537-X
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
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
- 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. No. 40 (1971), 117-138. MR 0407885
- 3.
- J. Guckenheimer, Bifurcation and catastrophe, Proc. Internat. Sympos. in Dynamical Systems (Salvador, 1971), Academic Press, New York (to appear). MR 345139
- 4.
- J. Guckenheimer, Catastrophes and partial differential equations, Ann. Inst. Fourier (Grenoble) 23 (1973), fasc. 2. MR 365627
- 5.
- L. Hörmander, Fourier integral operators, Acta Math. 127 (1971), 79-183. MR 388463
- 6.
- P. Lax, Hyperbolic systems of conservation laws. II, Comm. Pure Appl. Math. 10 (1957), 537-566. MR 20 # 176. MR 93653
- 7.
- S. Smale, On the mathematical foundations of circuit theory, J. Differential Geometry (to appear). MR 322904
- 8.
- M. Shub, M. Hirsch and C. Pugh, Invariant manifolds (to appear). MR 292101
- 9.
- R. Thom, Topologie et linguistique, Essays in Topology and Related Topics (De Rham Commemorative Volume), Springer, 1971. MR 495268
- 10.
- E. C. Zeeman, Differential equations for the heartbeat and nerve impulse, Towards a Theoretical Biology, vol. 4, C. H. Waddington (editor) (to appear). MR 342207
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
