Course in Mathematical Analysis V1
Sergey Mikhailovich Nikolsky (Серге́й Миха́йлович Нико́льский)
Preface to tbe English Edition
The major partofthis two-volume textboók, with the exceptionofsome
supplementary material, stems from the course in mathematical analysis
givenbythe author for many yearsatthe Moscow Physico-technical
lnstitute.
The first chapterisan introduction.Ittreatsoffundamental notionsof
mathematical·analysis..using·an· intuitive conceptofa limit. Ultimately, it
even establlihes, with the aidofvisual interpretation and sorne considera·
tionsofa physical character, the relationship between the deriva tiveand the
integral andgivessorne elementsofdifferentiation and integration techniques necessary to those readers who are simultaneously studying physics.
The second chapterisdevoted to the notionofa real number whichis
'hiterpretedori'iliebasisofits representation as an infinite decimal. The part
ofthischapter given in small print may be omittedbythe reader in bis first
acquaintance with the subject-matter.
Itismy belief, which incidentally coincides with the traditional pointof
view,'that the fundamentalsofmathematical analysis should be first pre-
The major partofthis two-volume textboók, with the exceptionofsome
supplementary material, stems from the course in mathematical analysis
givenbythe author for many yearsatthe Moscow Physico-technical
lnstitute.
The first chapterisan introduction.Ittreatsoffundamental notionsof
mathematical·analysis..using·an· intuitive conceptofa limit. Ultimately, it
even establlihes, with the aidofvisual interpretation and sorne considera·
tionsofa physical character, the relationship between the deriva tiveand the
integral andgivessorne elementsofdifferentiation and integration techniques necessary to those readers who are simultaneously studying physics.
The second chapterisdevoted to the notionofa real number whichis
'hiterpretedori'iliebasisofits representation as an infinite decimal. The part
ofthischapter given in small print may be omittedbythe reader in bis first
acquaintance with the subject-matter.
Itismy belief, which incidentally coincides with the traditional pointof
view,'that the fundamentalsofmathematical analysis should be first pre-
Catégories:
Volume:
1
Année:
1977
Edition:
2
Editeur::
MIR PUBLISHERS
Langue:
english
Fichier:
PDF, 28.02 MB
IPFS:
,
english, 1977
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