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 Math. Ed., 2017, Issue 3(83), Pages 13–27 (Mi mo611)

Students and teachers of mathematical specialties

Smooth functions, formal series, Whitney theorems, finished

N. G. Pavlovaa, A. O. Remizovb

a Peoples Friendship University of Russia, Moscow
b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: This is the final part of the paper published in the same journal one year ago. We continue to acquaint the reader with basic facts of singularity theory, for instance, division theorem, Malgrange preparation theorem, and we give the proof of Whitney theorem on mappings of the plane into the plane.

Keywords: the theory of singularities of smooth mappings, the division theorem, the Malgrange preparation theorem, Whitney's theorem on mappings of the plane into the plane.

Full text: PDF file (235 kB)
References: PDF file   HTML file
UDC: 514.76

Citation: N. G. Pavlova, A. O. Remizov, “Smooth functions, formal series, Whitney theorems, finished”, Math. Ed., 2017, no. 3(83), 13–27

Citation in format AMSBIB
\Bibitem{PavRem17} \by N.~G.~Pavlova, A.~O.~Remizov \paper Smooth functions, formal series, Whitney theorems, finished \jour Math. Ed. \yr 2017 \issue 3(83) \pages 13--27 \mathnet{http://mi.mathnet.ru/mo611}