VOLUME 6, second edition
of Vladimir Alfeevich Kuznetsov’s book
« Intuitionistic set theory »
FOUNDATIONS OF MATHEMATICAL ANALYSIS
- 2021, - 961 p.
of Vladimir Alfeevich Kuznetsov’s book
« Intuitionistic set theory »
FOUNDATIONS OF MATHEMATICAL ANALYSIS
- 2021, - 961 p.
The book was published in electronic form on the website mathtree.ru 22.11.2021
361 MB
The book presents the sixth part of 23 - year research of the author on intuitionistic set theory. In the sixth volume is provided the foundations of mathematical analysis, created within axiomatic system K of intuitionistic set theory, offered by the author in the first volume.
Intuitionistic analogues of most important theorems of mathematical analysis are presented.
The research of the author about arches of circles that is presented in this book greatly simplifies the definitions of real number π and trigonometric functions, and the proofs of their properties.
The method of direct definition the cosine function is presented within this research.
The research of the author about arches of circles contains more than fifty drawings that providing a visibility of research.
The drawings presented in this book are executed with high precision that allows to increase substantially them in computer programs for viewing of PDF - files and to consider carefully all det ails of construction.
The chapter on the Riemann integral fully reveals the essence of integral calculus in intuitionistic set theory K.
The chapter on Taylor series is also presented.
The axiom of countable independent choice is not used in this book.
The book is intended for a wide circle of mathematicians.
Intuitionistic analogues of most important theorems of mathematical analysis are presented.
The research of the author about arches of circles that is presented in this book greatly simplifies the definitions of real number π and trigonometric functions, and the proofs of their properties.
The method of direct definition the cosine function is presented within this research.
The research of the author about arches of circles contains more than fifty drawings that providing a visibility of research.
The drawings presented in this book are executed with high precision that allows to increase substantially them in computer programs for viewing of PDF - files and to consider carefully all det ails of construction.
The chapter on the Riemann integral fully reveals the essence of integral calculus in intuitionistic set theory K.
The chapter on Taylor series is also presented.
The axiom of countable independent choice is not used in this book.
The book is intended for a wide circle of mathematicians.
