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

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Mathematical Education, 2017, Issue 3(83), Pages 13–27 (Mi mo611)

Students and teachers of mathematical specialties

Smooth functions, formal series, Whitney theorems, finished

N. G. Pavlova^a, A. O. Remizov^b

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

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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.

Document Type: Popular science or education materials

UDC: 514.76

Language: Russian

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}

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https://www.mathnet.ru/eng/mo611

https://www.mathnet.ru/eng/mo/y2017/i3/p13

Cycle of papers

Smooth Functions, Formal Series, and Whitney Theorems
N. G. Pavlova, A. O. Remizov
Math. Ed., 2016:3(79), 49–65
Smooth functions, formal series, Whitney theorems, finished
N. G. Pavlova, A. O. Remizov
Math. Ed., 2017:3(83), 13–27

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	914
Full-text PDF :	410
References:	87

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