Nikolsky - A Course of Mathematical Analysis Vol 2

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Course in Mathematical Analysis Vol. 2 


S. M. Nikolsky. 

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 offundamental notions of
mathematical analysis using an intuitive concept ofa 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 differentiation
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, Functions
of Several Variables, Indefinite Integral, Definite Integral,
Some Applications of Integrals, Series.

This book was translated from the Russian by V. M. Volosov. The
  book was published by first Mir Publishers in 1977 with reprints in
  1981, 1985 and 1987. The copy below is from the 1987 print.

  All credits to the original uploader.

  DJVU | 7.5 MB | Pages: 446 | Cover 

Table of Contents

Chapter 12. Multiple Integrals 9

Chapter 13. Scalar and Vector Fields. Differentiation and Integration of Integral with Respect to Parameter. Improper Integrals     80

Chapter 14. Normed Linear Spaces. Orthogonal Systems 147

Chapter 15. Fourier Series. Approximation of Functions with Polynomials   188

Chapter 16. Fourier Integral. Generalized Functions 240

Chapter 17. Differentiable Manifolds and Differential Forms 289

Chapter 18. Supplementary Topics 326

Chapter 19. Lebesgue Integral  338

Name Index 437
Subject Index  438-------------------------------------Torrent downloaded from
Nikolsky_A_Course_of_Mathematical_Analysis-Vol-2.djvu 7.866 MB
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