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040 _aICTS-TIFR
050 _aQA300
100 _aS.M. Nikolsky
245 _a A course of mathematical analysis : Vol. 1
260 _aMoscow:
_bMir Publishers,
_c[c1981]
300 _a460 p.
520 _aThe major part of this two-volume textbook stems from the course in mathematical analysis given by the author for many years at the Moscow Physico-technical Institute. The first volume consisting of eleven chapters includes an introduction (Chapter 1) which treats of fundamental notions of mathematical analysis using an intuitive concept of a limit. With the aid of visual interpretation and some considerations of a physical character it establishes the relationship between the derivative and the integral and gives some elements of differen­ tiation and integration techniques necessary to those readers who are simultaneously studying physics. The notion of a real number is interpreted in the first volume (Chapter 2) on the basis ofits representation as an infinite deci­mal. Chapters 3-11 contain the following topics: Limit of Se­quence, Limit of Function, Functions of One Variable, Func­ tions of Several Variables, Indefinite Integral, Definite Integral, Some Applications of Integrals, Series.
650 _aMathematics
700 _aTranslated from Russian by V.M. Volosov
856 _uhttps://archive.org/details/nikolsky-a-course-of-mathematical-analysis-vol-1-mir
_yE-Book from archive.org
942 _2lcc
_cBK
999 _c32869
_d32869