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Bulletin of the American Mathematical Society

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

Book Review

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Full text of review: PDF
Book Information:

Author: Valentin Poenaru
Title: Analyse différentielle
Additional book information: Lecture Notes in Mathematics, vol. 371, Springer-Verlag, New York, 1974, 228 pp., $7.70.

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

  • M. F. Atiyah, Resolution of singularities and division of distributions, Comm. Pure Appl. Math. 23 (1970), 145–150. MR 0256156
  • J. M. Boardman, Singularities of differentiable maps, Inst. Hautes Études Sci. Publ. Math. 33 (1967), 21–57. MR 0231390
  • B. Malgrange, Ideals of differentiable functions, Tata Institute of Fundamental Research Studies in Mathematics, No. 3, Tata Institute of Fundamental Research, Bombay; Oxford University Press, London, 1967. MR 0212575
  • John N. Mather, Stability of 𝐶^{∞} mappings. I. The division theorem, Ann. of Math. (2) 87 (1968), 89–104. MR 0232401
  • John N. Mather, Stability of 𝐶^{∞} mappings. II. Infinitesimal stability implies stability, Ann. of Math. (2) 89 (1969), 254–291. MR 0259953
  • John N. Mather, Stability of 𝐶^{∞} mappings. III. Finitely determined mapgerms, Inst. Hautes Études Sci. Publ. Math. 35 (1968), 279–308. MR 0275459
  • John N. Mather, Stability of 𝐶^{∞} mappings. IV. Classification of stable germs by 𝑅-algebras, Inst. Hautes Études Sci. Publ. Math. 37 (1969), 223–248. MR 0275460
  • John N. Mather, Stability of 𝐶^{∞} mappings. V. Transversality, Advances in Math. 4 (1970), 301–336 (1970). MR 0275461
  • L. Nirenberg, A proof of the Malgrange preparation theorem, Proceedings of Liverpool Singularities—Symposium, I (1969/70), Springer, Berlin, 1971, pp. 97–105. Lecture Notes in Mathematics, Vol. 192. MR 0412460

Review Information:

Reviewer: Harold Levine
Journal: Bull. Amer. Math. Soc. 81 (1975), 872-881
DOI: https://doi.org/10.1090/S0002-9904-1975-13868-7