Mathematics and economics in the legacy of Leonid Kantorovich

Автор: Kutateladze Semen Samsonovich

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 1 т.14, 2012 года.

Бесплатный доступ

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.

Linear programming, functional analysis, applied mathematics

Короткий адрес: https://sciup.org/14318374

IDR: 14318374

Список литературы Mathematics and economics in the legacy of Leonid Kantorovich

  • Reshetnyak Yu. G., Kutateladze S. S. A Letter of N. N. Luzin to L. V. Kantorovich//Vestnik Ross. Acad. Nauk.-2002.-Vol. 72, № 8.-P. 740-742.
  • Kantorovich L. V. Functional analysis and applied mathematics//Uspekhi Mat. Nauk.-1948.-Vol. 3, № 6.-P. 89-185. (English transl.: Nat. Bur. Standards Rep., № 1509, U. S. Dept. of Commerce, Nat. Bur. Standards, Washington, D.C., 1952.)
  • Kantorovich L. V. Selected Works. Parts 1 and 2.-Amsterdam: Gordon and Breach, 1996.
  • Sobolev S. L. Selected Works.-New York: Springer-Verlag, 2006.
  • Kantorovich L. V., Vulikh B. Z., and Pinsker A. G.Partially ordered groups and partially ordered linear spaces//Amer. Math. Soc. Transl., II Ser.-1963.-Vol. 27.-P. 51-124. (Translation from Uspekhi Mat. Nauk.-1951.-Vol. 6, № 3 (43).-P. 31-98.)
  • Kantorovich L. V. On integral operators//Uspekhi Mat. Nauk.-1956.-Vol. 11, issue 2.-P. 3-29.
  • Kantorovich L. V. Functional analysis and applied mathematics//Vestnik Leningrad Univ. Mat.-1948.-Vol. 6.-P. 3-18.
  • Kusraev A. G., Kutateladze S. S. Introduction to Boolean Valued Analysis.-Moscow: Nauka Publishers, 2005.
  • Kusraev A. G. Dominated Operators.-Dordrecht: Kluwer Academic Publishers, 2001.
  • Kantorovich L. V. My path in science//Russian Math. Surveys.-1987.-Vol. 42, № 2.-P. 233-270.
  • Villani C. Optimal Transport: Old and New.-Berlin and Heidelberg: Springer-Verlag, 2009.
  • Marshall A. Principles of Economics. 8th edition.-London: Macmillan and Co., Ltd., 1920.
  • Brue S. L. The Evolution of Economic Thought. 5th edition.-Fort Worth: Harcourt College Publishers, 1993.
  • Dantzig G. B. Linear Programming and Extensions.-Princeton: Princeton University Press, 1963.
  • Kantorovich L. V. Functional analysis (basic ideas)//Siberian Math. J.-1987.-Vol. 28, № 1.-P. 1-8.
Еще
Статья научная