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Theory of Functions of a Real Variable, Volume I by I.P. Natanson
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**About this book :- **
**Theory of Functions of a Real Variable, Volume I ** written by
** I.P. Natanson **

This book treats the theory of functions of a real variable from a largely classical point of view. It is designed for use in the current Soviet Universty Program, by students in their third year of university studies. The author is a distinguished Soviet sientist and teacher, who has evidently lectured for a number of years on the subject matter of present book. The book has been through two earlier editions, one in 1941 under the title Foundation of the Theory of Functions of a Real Variable and a second in the Ukrainian language, with various extensions by S. I. Zuhovichii.

**Book Detail :- **
** Title: ** Theory of Functions of a Real Variable, Volume I
** Edition: **
** Author(s): ** I.P. Natanson
** Publisher: ** Freerick Ungar Publishing Company
** Series: **
** Year: ** 1961
** Pages: ** 275
** Type: ** PDF
** Language: ** English
** ISBN: ** 9780804447034,0804447039
** Country: ** Russia

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**About Author :- **

Author ** I.P. Natanson ** (1906 – 1964) was a Swiss-born Soviet mathematician. He was known for contributions to real analysis and constructive function theory, in particular, for his textbooks on these subjects. His son, Garal'd Natanson (1930–2003), was also a well known mathematician.

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**Book Contents :- **
**Theory of Functions of a Real Variable, Volume I ** written by
** I.P. Natanson **
cover the following topics.

1. Infinite Sets

2. Point Sets

3. Measure Sets

4. Measurable Functions

5. The Lebesgue Integral of a Bounded Function

6. Summable Functions

7. Square Summable Functions

8. Functions of Finite Variation. The Stieltjes Integral

9. Absolutely Continous Fuctions. The Indefinite Lebesgue Integral

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