Mathematics and economics of Leonid Kantorovich

Abstract

This is a short overview of the life of Leonid Kantorovich and his contribution to the formation of the modern outlook on the interaction between mathematics and economics.

Nonstandard tools of nonsmooth analysis

“…Model theory provides justification of the Kantorovich heuristic principle that the members of his spaces are numbers as well (cp. [9] and [10]).…”

Принцип Канторовича В Действии: AW∗-модули И Инъективные Банаховы Решетки

“…The depth and universality of Kantorovich's principle were demonstrated within Boolean valued analysis. More about the Kantorovich's universal heuristics and innate integrity of his methodology see in [24].…”

On the History of the START project (1985–1988)

“…As a result, the credibility of Yevreinov's team was undermined [2, p.11]. The distrust was enhanced by the failed effort of the mathematicians Yevreinov and Kosarev, and historian Vladimir A. Ustinov to perform the "machine decoding of the Mayan language" using the approach contradicting the idea of the Leningrader Yuri V. Knorozov [12]. When Kotov and his classmate Alexander S. Narin'yani became employees of the Programming Department of the Computing Center, SB USSR AS, headed by Andrei P. Ershov, they proposed another method of parallel programming -asynchronous computing.…”