TY  - BOOK
AU  - S.M. Nikolsky
AU  - Translated from Russian by V.M. Volosov
TI  -  A course of mathematical analysis : Vol. 1
AV  - QA300 
PY  - 1981///]
CY  - Moscow
PB  - Mir Publishers
KW  - Mathematics
N2  - The 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
UR  - https://archive.org/details/nikolsky-a-course-of-mathematical-analysis-vol-1-mir
ER  -