S.M. Nikolsky
A course of mathematical analysis : Vol. 1 - Moscow Mir Publishers 1981 - 460 p.
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.
QA300
A course of mathematical analysis : Vol. 1 - Moscow Mir Publishers 1981 - 460 p.
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.
QA300