BOOKS - NATURAL SCIENCES - Ранняя история аксиомы выбора
US $8.60
168822
168822
Ранняя история аксиомы выбора
Author: Медведев Ф.А.
Year: 1982
Number of pages: 306
Format: DJVU
File size: 10.1 MB
Language: RU
Year: 1982
Number of pages: 306
Format: DJVU
File size: 10.1 MB
Language: RU
The axiom of choice is one of the main axioms of modern mathematics. The book traces the history of this sentence and its individual equivalents to the introduction of axiomatics of set theory. It considers various formulations of the named axiom and some statements equivalent to it, both in general and in special cases, numerous implicit and conscious applications in the reasoning of mathematicians of the 19th - early 20th centuries, mainly in the analysis of infinitesimals, in the theory of functions of a real variable and set theory; the controversy over this axiom at the beginning of the 20th century is characterized.
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