VOLUME 7
of Vladimir Alfeevich Kuznetsov’s book
« Intuitionistic set theory »
FOUNDATIONS OF MATHEMATICAL ANALYSIS
Part 2
- 2023, - 532 p.
of Vladimir Alfeevich Kuznetsov’s book
« Intuitionistic set theory »
FOUNDATIONS OF MATHEMATICAL ANALYSIS
Part 2
- 2023, - 532 p.
The book was published in electronic form on the website mathtree.ru 27.07.2023
209 MB
The book presents the seventh part of the author's 25-year study on intuitionistic set theory. It provides the basics of that part of mathematical analysis in which functions of several variables of real numbers are studied, constructed in the axiomatic system K of intuitionistic set theory, proposed by the author in the first volume.
The book contains sections: Jordan measure, Lebesgue measure, multiple Riemann integrals.
The axiom of countable independent choice is used in the book only when proving the theorem on the countable additivity of the Lebesgue measure.
The book is intended for a wide range of mathematicians.
The book contains sections: Jordan measure, Lebesgue measure, multiple Riemann integrals.
The axiom of countable independent choice is used in the book only when proving the theorem on the countable additivity of the Lebesgue measure.
The book is intended for a wide range of mathematicians.
