Semen Samsonovich Kutateladze

Semen Samsonovich Kutateladze (born Oct. 2, 1945 in Leningrad, now St. Petersburg) is a mathematician. He is known for contributions to functional analysis and its applications to vector lattices and optimization.^[1] In particular, he has made contributions to the calculus of subdifferentials for vector-lattice valued functions, to whose study he introduced methods of Boolean-valued models and infinitesimals.

He is professor of mathematics at Novosibirsk State University, where he has continued and enriched the scientific tradition of Leonid Kantorovich. ^[2]^[3] His father was the mathematical physicist Samson Kutateladze.

Selected books and articles

Kutateladze, S. S. Fundamentals of functional analysis. Translated from the second (1995) edition. Kluwer Texts in the Mathematical Sciences, 12. Kluwer Academic Publishers Group, Dordrecht, 1996.
Kusraev, A. G.; Kutateladze, S. S. Subdifferentials: Theory and applications. Translated from the Russian. Mathematics and its Applications, 323. Kluwer Academic Publishers Group, Dordrecht, 1995.
Gordon, E. I.; Kusraev, A. G.; Kutateladze, S. S. Infinitesimal analysis. Updated and revised translation of the 2001 Russian original. Translated by Kutateladze. Mathematics and its Applications, 544. Kluwer Academic Publishers, Dordrecht, 2002.
Kutateladze, S. S.; Rubinov, A. M. Minkowski duality, and its applications. (Russian) Uspehi Mat. Nauk 27 (1972), no. 3(165), 127–176.

This article was cited over 120 times at Google Scholar in 2011.

^ Gutman, A. E.; Kusraev, A. G.; Reshetnyak, Yu. G. (2005). "On the nth birthday of Semën Samsonovich Kutateladze for n=60". Sib. Èlektron. Mat. Izv. 2: A.12–A.33. MR 2178006. http://mi.mathnet.ru/semr48.
^ Leifman, Lev J., ed. (1990). Functional analysis, optimization, and mathematical economics: A collection of papers dedicated to the memory of Leonid Vitalʹevich Kantorovich. New York: The Clarendon Press, Oxford University Press. pp. xvi+341. ISBN 0-19-505729-5. MR 1082562.
^
- Kutateladze, S.S., "The World Line of Kantorovich", Notices of the ISMS, International Society for Mathematical Sciences, Osaka, Japan, January 2007
- Kutateladze, S.S., "Kantorovich's Phenomenon", Siberian Math. J. (Сибирский мат. журн.), 2007, V. 48, No. 1, 3–4, November 29, 2006.
- Kutateladze, S.S., "Mathematics and Economics of Kantorovich"

Infinitesimals

History	Adequality Infinitesimal calculus Leibniz's notation Integral sign Criticism of non-standard analysis The Analyst The Method of Mechanical Theorems Cavalieri's principle

Related branches of mathematics	Non-standard analysis Non-standard calculus Internal set theory Synthetic differential geometry Constructive non-standard analysis

Formalizations of infinitesimal quantities	Differentials Hyperreal numbers Dual numbers Surreal numbers

Individual concepts	Standard part function Transfer principle Hyperinteger Increment theorem Monad Internal set Levi-Civita field Hyperfinite set Law of Continuity Overspill Microcontinuity

Scientists	Gottfried Leibniz Abraham Robinson Pierre de Fermat Augustin-Louis Cauchy

Infinitesimals in physics and engineering	Infinitesimal strain theory Infinitesimal oscillations of a pendulum

Textbooks	Analyse des Infiniment Petits Elementary Calculus