VOLUME  7, second edition

of Vladimir Alfeevich Kuznetsov’s book

« Intuitionistic set theory »

FOUNDATIONS OF MATHEMATICAL ANALYSIS

Part 2

- 2024, - 679 p.
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, Lebesgue integral and partial derivatives of
functions of several variables.

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 was published in electronic form on the site
http://intuitionism.blogspot.com

and on the page
http://persons-mathtree.iis.nsk.su/kouznetsov/
04.08.2024
Screenshot of the page
http://persons-mathtree.iis.nsk.su/kouznetsov/
Volume 7, second edition is presented in Russian only.

The author intends to present a translation of this book into English.
265 MB
Screenshot of the page
http://intuitionism.blogspot.com/2024/04/7.html