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Teoretiko-Mnozhestvennaya Kontseptsiya I Algoritm Issledovaniya Funktsiy (Russian, Paperback)
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Teoretiko-Mnozhestvennaya Kontseptsiya I Algoritm Issledovaniya Funktsiy (Russian, Paperback)
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V monografii predlozhen teoretiko-mnozhestvennyy podkhod k
issledovaniyu na ubyvanie (vozrastanie) i vypuklost' (vognutost')
funktsiy deystvitel'noy peremennoy na osnove klassifikatsii tochek
ikh oblasti opredeleniya. Predlagaemyy podkhod pozvolyaet ne tol'ko
s edinykh teoretiko-mnozhestvennykh pozitsiy opredelyat' takie
osnovnye ponyatiya matematicheskogo analiza, kak predel,
nepreryvnost' i proizvodnaya funktsii, no i issledovat' osnovnye
svoystva funktsiy. Takoy podkhod vedyet k izmeneniyam v postanovke
osnovnykh zadach issledovaniya i dobavleniya okrestnosti tochki v
kachestve instrumentariya issledovaniya funktsiy. Stol'
sushchestvennye izmeneniya obuslovleny vvidu fatal'nykh
protivorechiy traditsionnogo podkhoda k issledovaniyu funktsiy.
Krome togo, teoretiko-mnozhestvennyy podkhod k issledovaniyu
funktsiy pozvolyaet klassifitsirovat' tochki ikh oblasti
opredeleniya, chto nevozmozhno pri traditsionnom issledovanii
funktsiy. V rabote predlozhena takzhe metodika obucheniya
issledovaniyu funktsiy pri ikh pervonachal'nom izuchenii,
osnovannaya na issledovanii funktsiy, zadannykh na mnozhestvakh
izolirovannykh tochek. Adresovana monografiya uchitelyam matematiki
i starsheklassnikam, a takzhe studentam i prepodavatelyam
matematiki vysshikh uchebnykh zavedeniy.
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