A Course Of Mathematical Analysis Vol 1 | S. M. Nikolsky
A Course Of Mathematical Analysis Vol 1
User Rating: Be the first one!
Author: S. M. Nikolsky
Added by: mirtitles
Added Date: 2021-10-27
Publication Date: 1977
Subjects: mathematics, analysis, Fundamentals of Mathematical Analysis, Real Numbers Limit of Sequence, Limit of Function, Functions of One Variable, Functions of Several Variables, Inde�nite Integral, De�nite Integral, Some Applications of Integrals, Series
Collections: mir-titles, additional collections
Pages Count: 300
PPI Count: 300
PDF Count: 1
Total Size: 242.76 MB
PDF Size: 9.21 MB
Extensions: epub, pdf, gz, html, zip, torrent
Downloads: 4.92K
Views: 54.92
Total Files: 17
Media Type: texts
Description
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.