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Calcul jacobien. (English) Zbl 0359.57013


MSC:

57R45 Singularities of differentiable mappings in differential topology
58C25 Differentiable maps on manifolds
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References:

[1] V. J. ARNOLD , Singularities of Smooth Maps (Uspehi Mat. Nauk., vol. 23, n^\circ 1, (139), 1968 , p. 3-44 (Russian) translated in AMS translations). MR 37 #2243 | Zbl 0159.53603 · Zbl 0159.53603
[2] M. BOARDMAN , Singularities of Differentiable Maps (Inst. Hautes Études Sci. Publ. Math., vol. 33, 1967 , p. 21-57). Numdam | MR 37 #6945 | Zbl 0165.56803 · Zbl 0165.56803
[3] BOURBAKI , Éléments de mathématique, Algèbre , chap. III, ex. 10, 11, 12 et 14, Act. Sci. et Ind., Paris, Hermann, 1948 , p. 114 à 116. MR 82j:18022
[4] J. DIEUDONNÉ et J. B. CARREL , Invariant Theory , Old and New, Reprinted from Advances in Mathematics ; Academic Press, New York and London, 1970 . Zbl 0258.14011 · Zbl 0258.14011
[5] K. HENTZELT , Zur Theorie der Polynomideale und Resultanten (Math. Ann., vol. 88, 1923 , p. 53-79). JFM 48.0094.03 · JFM 48.0094.03
[6] G. HERMANN , Die Frage der endlich vielen Schritte in der Theorie der Polynomideale (Math. Ann., vol. 95, 1926 , p. 736-788). JFM 52.0127.01 · JFM 52.0127.01
[7] H. LEVINE , Singularities of Differentiable Mappings (Lecture Notes, Bonn, 1959 ). · Zbl 0216.45803
[8] J. MATHER , On Thom-Boardman Singularities [Dynamical Systems, M. M. PEIXOTO, Ed. ; Proc. of a Symposium, University of Bahia, Brasil (July 26-August 14, 1971 ), Academic Press, New York-London, 1973 , p. 233-248]. MR 50 #5843 | Zbl 0292.58004 · Zbl 0292.58004
[9] B. MORIN , Formes canoniques des singularités d’une application différentiable (C. R. Acad. Sc. Paris, t. 260, 1965 , p. 5662-5665 et 6503-6506). MR 31 #5212 | Zbl 0178.26801 · Zbl 0178.26801
[10] B. MORIN , Computing Determinants (Remarks on M. Boardman’s Theorem) Mim. Inst. for Advanced Study, Princeton, 1968 : tirage épuisé.
[11] TH. MUIR , A Treatise on the Theory of Determinants , Dover publications Inc., New York, 1969 . · JFM 15.0118.05
[12] E. NOETHER , Eliminationstheorie und allgemeine Idealtheorie , (Math. Ann., vol. 90, 1923 , p. 227-261). JFM 49.0076.04 · JFM 49.0076.04
[13] PLATONIS , Omnia quœ extant opera. XXVI De Republica , VII, Ed. Henri Estienne, Genève, t. II, 1578 .
[14] R. THOM , Les singularités des applications différentiables (Ann. Inst. Fourier, t. 6, 1955 - 1956 , p. 43 à 87). Numdam | MR 19,310a | Zbl 0075.32104 · Zbl 0075.32104
[15] J. C. TOUGERON , Idéaux de fonctions différentiables I (Ann. Inst. Fourier, t. 18, 1968 , p. 177-240). Numdam | MR 39 #2171 | Zbl 0188.45102 · Zbl 0188.45102
[16] L. I. SEDOV , A course in continuum mechanics , vol. 1, Basic equations and analytical techniques, p. 57-58, Wolters-Noordhoff, Groningen, Pays-Bas, 1971 . Zbl 0308.73005 · Zbl 0308.73005
[17] H. WHITNEY , Singularities of Mappings of Euclidean Spaces (Symposium internacional de Topologia Algebraica, La Universidad Nacional Autónoma, Mexico, 1958 , p. 285-301). MR 20 #4877 | Zbl 0092.28401 · Zbl 0092.28401
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