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Theory of Functions of a Real Variable, Volume II by I.P. Natanson
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Theory of Functions of a Real Variable, Volume II 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 II
Author(s): I.P. Natanson
Publisher: Freerick Ungar Publishing Company
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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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• Download PDF Theory of Functions of a Real Variable, Volume I by I.P. Natanson
• Download PDF Theory of Functions of a Real Variable, Volume II by I.P. Natanson
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Book Contents :-
Theory of Functions of a Real Variable, Volume II written by I.P. Natanson cover the following topics.
10. Singular Integrals. Trigonometric Series Conbex Functions
11. Point Sets in Two Dimensional Space
12. Measurable Functions of Several Variables and Their Integration
13. Set Functions and Their Applications in the Theory of Integration
14. Transfinite Numbers
15. The Baire Calssification
16. Certain Generalizations of the Lebesgue Integral
17. Some Ideas from Functional Analysis
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