Geodesic
Notes on Calculus, continued
Matematičeskoe obrazovanie, no. 1 (2012), pp. 41-46 Cet article a éte moissonné depuis la source Math-Net.Ru

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The notions of function's continuity at a point and in a set are analyzed. An approach to define high order differentials of a function is suggested. 
@article{MO_2012_1_a6,
     author = {S. V. Shvedenko},
     title = {Notes on {Calculus,} continued},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {41--46},
     year = {2012},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2012_1_a6/}
}
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S. V. Shvedenko. Notes on Calculus, continued. Matematičeskoe obrazovanie, no. 1 (2012), pp. 41-46. http://geodesic.mathdoc.fr/item/MO_2012_1_a6/