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Topic: Leonid Kantorovich

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	Kantorovich biography
		Kantorovich's background was entirely in mathematics but he showed a considerable feel for the underlying economics to which he applied the mathematical techniques.
		Kantorovich introduced many new concepts into the study of mathematical programming such as giving necessary and sufficient optimality conditions on the base of supporting hyperplanes at the solution point in the production space, the concept of primal-dual methods, the interpretation in economics of multipliers, and the column-generation method used in linear programming.
		Kantorovich was a joint winner of the 1975 Nobel Prize for economics for his work on the optimal allocation of scarce resources.
	www-history.mcs.st-andrews.ac.uk /Biographies/Kantorovich.html (731 words)

	The St. Petersburg Times - Top Stories - Kantorovich: Mathematics Applied to Economics
		Leonid Kantorovich, the St. Petersburg scientist who was awarded a Nobel Prize in 1975, bridged the theoretical world of mathematics and the practical world of economics, research that sometimes put him at odds with the Soviet state.
		Kantorovich was already a professor at the age of 20, a member of the Soviet Academy of Sciences at the age of 52 and a Nobel Prize winner at 63.
		Kantorovich became a corresponding member of the U.S.S.R. Academy of Sciences, was invited to head one of the departments in the Siberian branch of the academy in Novosibirsk and finally in 1959 published his "The Best Use of Economic Resources." The paper caused controversy among Soviet economists and was noticed by western scientists.
	www.sptimes.ru /index.php?action_id=2&story_id=700 (1813 words)

	Leonid Kantorovich
		Leonid Vitalyevich Kantorovich was born on January 19, 1912, in Petersburg, Russia.
		Kantorovich determined that the problem of distributing raw materials was that one had to consider many limitations in order to maximize a linear function of distribution.
		Leonid Kantorovich died on April 7, 1986, in Moscow, Russia, at the age of 74.
	www.jewishvirtuallibrary.org /jsource/biography/kantorovich.html (840 words)

	Kantorovich
		Leonid V. Kantorovich was born in the city of Leningrad in January of 1912 to a meager family.
		Leonid Vitalevich Kantorovich was born in Petersburg, Russia in 1912.
		Kantorovich describes some of his first important research in the school by saying, “I think my most significant research in those days was that connected with analytical operations on sets and on projective sets (1929-30) where I solved some N. Lusin problems” (autobiography).
	econc10.bu.edu /economic_systems/NatIdentity/FSU/Russia/kantorovich.htm (1961 words)

	Boston Globe Online / Table of Contents
		Kantorovich was buried yesterday at Novodevichy Cemetery in Moscow.
		Kantorovich was considered the father of Soviet econometrics -- the application of mathematics and statistics to economic problems -- but was slow to receive recognition at home and internationally.
		Kantorovich's first work on econometrics was published in 1939, but was not used immediately because the field had evolved in the United States and was not held in high regard by the Soviets.
	www.boston.com /globe/search/stories/nobel/1986/1986v.html (329 words)

	Leonid Vitalyevich Kantorovich Biography \| World of Mathematics
		Leonid Vitalyevich Kantorovich was a Soviet mathematician who is considered notable not only for his contributions to mathematics, but to economics, as well.
		Kantorovich was born in St. Petersburg, Russia, on January 19, 1912.
		Although Kantorovich was highly regarded as a mathematician and economist, his views, which were sometimes critical of the Soviet economic policy, often were in conflict with those of his colleagues.
	www.bookrags.com /biography/leonid-vitalyevich-kantorovich-wom (455 words)

	Leonid Vitalyevich Kantorovich (Site not responding. Last check: 2007-11-04)
		Kantorovich was educated at Leningrad State University, receiving his doctorate in mathematics (1930) there at the age of 18.
		Kantorovich was elected to the prestigious Academy of Sciences of the Soviet Union (1964) and was awarded the Lenin Prize in 1965.
		In his own country Kantorovich was a notable "reform" economist whose nondogmatic critical analyses of Soviet economic policy clashed with the views of his orthodox Marxist colleagues.
	economics.nobel.brainparad.com /leonid_vitalyevich_kantorovich.html (286 words)

	Leonid Vitalievich Kantorovich, Biography: The Concise Encyclopedia of Economics: Library of Economics and Liberty
		Leonid Kantorovich shared the 1975 Nobel Prize with Tjalling Koopmans "for their contributions to the theory of optimum allocation of resources." Kantarovich was born and died in Russia and did all his professional work there.
		Kantorovich, like Samuelson, showed that certain coefficients in the equations could be regarded as the prices of each input.
		From 1944 to 1960, Kantorovich was a professor at the University of Leningrad.
	www.econlib.org /library/Enc/bios/Kantorovich.html (416 words)

	Kantorovich (Site not responding. Last check: 2007-11-04)
		Kantorovich entered the ranks of the greatest scientists of the 20th century due his fundamental input into mathematics and economics.
		Kantorovich was one of the first to use linear programming as a tool in economics.
		L.V. Kantorovich, the Polymath and Economist by S.S. Kutateladze, V.L. Makarov, J.V. Romanovskii, G.Sh.
	www.mathsoc.spb.ru /pantheon/kantorov (259 words)

	Leonid Vitalyevich Kantorovich - Encyclopedia.com
		Kantorovich, Leonid Vitalyevich, 1912-86, Soviet economist and mathematician, b.
		A professor at Leningrad State Univ. (1934-60), he later served (1971-76) as director of the mathematical economics laboratory at the Moscow Institute of National Economic Management.
		Kantorovich shared the 1975 Nobel Memorial Prize in Economic Sciences with Tjalling Koopmans.
	www.encyclopedia.com /doc/1E1-Kantorov.html (148 words)

	Kantorovich
		He held the chair of mathematics and economics in the Siberian branch of the USSR Academy of Sciences (1961-1971), then directed research at Moscow's Institute of National Economic Planning (1971-76).
		The article [12] is the autobiography which Kantorovich had to submit to the Nobel Prize committee who were considering him for the award.
		In [8] Belykh examines the opinions of Western scholars on Kantorovich as a mathematical economist and concludes that:-
	www.educ.fc.ul.pt /icm/icm2003/icm14/Kantorovich.htm (611 words)

	Leonid Kantorovich - Search Results - MSN Encarta
		Leonid Kantorovich - Search Results - MSN Encarta
		Kantorovich, Leonid Vitaliyevich (1912-1986), Russian mathematician and economist, recipient of the 1975 Nobel Prize in economics for his theories...
		Leonids, annual meteor shower that occurs in the month of November.
	encarta.msn.com /Leonid_Kantorovich.html (84 words)

	1975――康托罗为奇、库普曼斯和资源最优分配理论 (Site not responding. Last check: 2007-11-04)
		列奥尼德・康托罗为奇（LEONID VITALIYEVICH KANTOROVICH）和佳林・库普曼斯（TJALLING C. The Royal Swedish Academy of Sciences has decided to award the Prize in Economic Science in Memory of Alfred Nobel for 1975 in equal shares to Professor Leonid Kantorovich, USSR,and Professor Tjalling C. Koopmans, USA, for their contributions to the theory of optimum allocation of resources.
		Leonid Kantorovich and Tjalling Koopmans have both done their most important scientific work in the field of normative economic theory, i.e., the theory of the optimum allocation of resources.
		As the starting point of their work in this field, both have studied the problem - fundamental to all economic activity - of how available productive resources can be used to the greatest advantage in the production of goods and services.
	www.macrochina.com.cn /zhzt/000083/005/20010730014776.shtml (588 words)

	Leonid Vitaliyevich Kantorovich - Autobiography
		I was born in Petersburg (Leningrad) on 19th January 1912.
		My father, Vitalij Kantorovich, died in 1922 and it was my mother, Paulina (Saks), who brought me up.
		Some of the first events of my childhood were the February and the October Revolutions of 1917, and a one-year trip to Byelorussia during the Civil War.
	nobelprize.org /nobel_prizes/economics/laureates/1975/kantorovich-autobio.html (1709 words)

	Leonid Vitaliyevich Kantorovich Winner of the 1975 Nobel Prize in Economics
		Leonid Vitaliyevich Kantorovich Winner of the 1975 Nobel Prize in Economics
		Photo of Leonid Vitaliyevich Kantorovich 1976 with Dr. E.
		A Biographical Sketch of Leonid Kantorovich (submitted by Laura Forgette)
	www.nobelprizes.com /nobel/economics/1975a.html (115 words)

	AllRefer.com - Leonid Vitalyevich Kantorovich (Economics, Biography) - Encyclopedia
		AllRefer.com - Leonid Vitalyevich Kantorovich (Economics, Biography) - Encyclopedia
		Leonid Vitalyevich Kantorovich[lE´unid vItal´Eyavich kuntor´uvich] Pronunciation Key, 1912–86, Soviet economist and mathematician, b.
		A professor at Leningrad State Univ. (1934–60), he later served (1971–76) as director of the mathematical economics laboratory at the Moscow Institute of National Economic Management.
	reference.allrefer.com /encyclopedia/K/Kantorov.html (221 words)

	IUPUI Department of Mathematical Sciences
		He will be missed not only by his family and closest friends and colleagues but also by many mathematicians and scientists around the world.
		Scientifically, Yuri came out of the famous Russian school in Functional Analysis founded in the early 1940s by the distinguished Russian mathematician and economist (and Nobel Prize winner in Economics), Leonid Kantorovich.
		Lozanovsky's premature death in 1976, at the age of thirty-nine, left a profound impact on Yuri.
	www.math.iupui.edu /people/memory/yabram.shtml (755 words)

	Israel HighTech-MAG.com - Israel Business and Technology News » Leonid Kantorovich - 1975 Nobel Prize in Economics (Site not responding. Last check: 2007-11-04)
		Leonid Kantorovich - 1975 Nobel Prize in Economics
		Leonid Vitaliyevich Kantorovich (January 19, 1912 in Petersburg – April 7, 1986 in Moscow) (Russian: Леонид Витальевич Канторович) was a Jewish Soviet/Russian mathematician and economist.
		This article was posted on Wednesday, January 19th, 2005 at 10:07 am and is filed under VIP.
	www.hightech-mag.com /index.php/vip/2005/01/leonid-kantorovich-1975-nobel-prize-in-economics (346 words)

	Leonid Vitaliyevich Kantorovich at IDEAS (Site not responding. Last check: 2007-11-04)
		This is information that was supplied by Leonid Kantorovich in registering through RePEc.
		If you are Leonid Vitaliyevich Kantorovich, you may change this information at RePEc.
		Postal Address: Leonid Vitalyevich Kantorovich obtained the Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel in 1975 and died in 1986.
	ideas.repec.org /e/pka32.html (172 words)

	Leonid Vitaliyevich Kantorovich Winner of the 1975 Nobel Prize in Economics
		Leonid Vitaliyevich Kantorovich —Science Life (submitted by Helly)
		Leonid Vitalyevich Kantorovich Biography from Encyclopedia Britannica (submitted by www.britannica.com)
		Leonid Vitaliyevich Kantorovich - Biography (submitted by Lukas)
	www.almaz.com /nobel/economics/1975a.html (115 words)

	Leonid Kantorovich Summary
		Leonid Vitaliyevich Kantorovich (January 19, 1912 in Petersburg – April 7, 1986 in Moscow) was a Soviet/Russian mathematician and economist.
		Leonid Kantorovich at the MacTutor History of Mathematics archive.
		(Russian)mmonline.ru On Leonid Kantorovich and linear programming (in Russian), by Anatoly Vershik
	www.bookrags.com /Leonid_Kantorovich (636 words)

	Kantorovich, Leonid Vitalyevich on Encyclopedia.com (Site not responding. Last check: 2007-11-04)
		KANTOROVICH, LEONID VITALYEVICH [Kantorovich, Leonid Vitalyevich], 1912-86, Soviet economist and mathematician, b.
		A professor at Leningrad State Univ. (1934-60), he later served (1971-76) as director of the mathematical economics laboratory at the Moscow Institute of National Economic Management.
		Magazines and Newspapers for: Kantorovich, Leonid Vitalyevich or search in Pictures and Maps for Kantorovich, Leonid Vitalyevich
	www.encylopedia.com /html/K/Kantorov.asp (123 words)

	EconPapers: Leonid Vitaliyevich Kantorovich
		Leonid Vitalyevich Kantorovich obtained the Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel in 1975 and died in 1986.
		His entry is maintained by the RePEc team.
		Access statistics for papers by Leonid Vitaliyevich Kantorovich.
	econpapers.repec.org /RAS/pka32.htm (106 words)

	Leonid Kantorovich : Economics Nobel Laureate - An Olympian Contributor to the Dismal Science and the Glorious Future! ...
		Leonid Kantorovich : Economics Nobel Laureate - An Olympian Contributor to the Dismal Science and the Glorious Future!
		Functional Analysis, Optimization, and Mathematical Economics : A Collection of Papers Dedicated to the Memory of Leonid Vital'Evich Kantorovich ~
		Note: Some items may be out of stock or even out of print; prices subject to change.
	www.omega23.com /heirs_of_adam_smith/Leonid_Kantorovich.html (96 words)

	The Mathematics Genealogy Project - Leonid Kantorovich
		Click here to see the students listed in chronological order.
		According to our current on-line database, Leonid Kantorovich has 6 students and 49 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=58665 (109 words)

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