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Book Review
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Book Information
Author(s):
Valentin Poenaru
Title:
Analyse différentielle
Additional book information:
Lecture Notes in Mathematics, vol. 371, Springer-Verlag, New York, 1974, 228 pp., $7.70
Author(s):
M. Golubitsky and V. Guillemin
Title:
Stable mappings and their singularities
Additional book information:
Graduate Texts in Mathematics, vol. 14, Springer-Verlag, New York, 1973, x+209 pp., $9.50
References:
- A. M. Atiyah, Resolution of singularities and division of distributions, Comm. Pure Appl. Math. 23 (1970), 145-150. MR 41 #815. MR 256156
- B. J. M. Boardman, Singularities of differentiate maps, Inst. Hautes Études Sci. Publ. Math. No. 33 (1967), 21-57. MR 37 #6945. MR 231390
- M. B. Malgrange, Ideals of differentiable functions, Tata Inst. Fund. Res. Studies in Math., no. 3, Tata Institute of Fundamental Research, Bombay; Oxford Univ. Press, London, 1967. MR 35 #3446. MR 212575
- JM. J. N. Mather, Stability of C. I. The division theorem, Ann. of Math. (2) 87 (1968), 89-104. MR 38 #726. MR 232401
- JM. J. N. Mather, Stability of C. II. Infinitesimal stability implies stability, Ann. of Math. (2) 89 (1969), 254-291. MR 41 #4582. MR 259953
- JM. J. N. Mather, Stability of C. III. Finitely determined map-germs, Inst. Hautes Études Sci. Publ. Math. No. 35 (1968), 279-308. MR 43 #1215a. MR 275459
- JM. J. N. Mather, Stability of C. IV. Classification of stable germs by R-algebras, Inst. Hautes Études Sci. Publ. Math. No. 37 (1969), 223-248. MR 43 #1215b. MR 275460
- JM. J. N. Mather, Stability of C. V. Transversality, Advances in Math. 4 (1970), 301-336. MR 43 #1215c. MR 275461
- N. L. Nirenberg, A proof of the Malgrange preparation theorem, Liverpool Singularities 1, pp. 97-105. MR 412460
Additional Information:
Reviewer(s):
Harold
Levine
Review Information:
Journal:
Bull. Amer. Math. Soc.
81
(1975),
872-881.
DOI:
10.1090/S0002-9904-1975-13868-7
PII:
S 0002-9904(1975)13868-7
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