The Institute of Mathematics of National Academy of Sciences of Armenia ( Armenian: ) is owned and operated by the

Armenian Academy of Sciences The National Academy of Sciences of the Republic of Armenia (NAS RA) ( hy, Հայաստանի Հանրապետության գիտությունների ազգային ակադեմիա, ՀՀ ԳԱԱ, ''Hayastani Hanrapetut’yan gitut’yunneri az ...

, located in

Yerevan Yerevan ( , , hy, Երևան , sometimes spelled Erevan) is the capital and largest city of Armenia and one of the world's oldest continuously inhabited cities. Situated along the Hrazdan River, Yerevan is the administrative, cultural, and i ...

History

The Institute of Mathematics of National Academy of Sciences of Armenia originated as the Section for Mathematics and Mechanics, created within the newly formed

in 1944. The section later developed into an Institute of Mathematics and Mechanics of the Armenian Academy of Sciences, whose first Director was academician Artashes Shahinian, known for his results in

complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...

. The Institute of Mathematics of Armenian Academy of Sciences separated from the latter Institute in 1971. The bearer of the office of the Director of Institute has been academician Mkhitar Djrbashian (1971-1989, 1989-1994 Honorary Director). The academicians Sergey Mergelyan, Norair Arakelian, Alexandr Talalyan, Raphayel Alexandrian, Rouben V. Ambartzumian and Anry Nersesyan also have greatly influenced the formation of the scientific profile of the Institute and largely contributed to mathematics in general. In particular Rouben V. Ambartzumian is famous for his work in Stochastic Geometry and Integral Geometry, where he created a new branch called Combinatorial Integral Geometry. He has provided solutions to a number of classical problems in particular the solution to the Buffon Sylvester problem as well as the Hilbert's fourth problem in dimensions 2 and 3.R. V. Ambartzumian. "Remarks on Combinatorics of Planes in Euclidean Three Dimensions". ''SOP Transactions on Applied Mathematics''. Volume 1, Number 2, pp. 29-43. 2014 In the early years, the investigations carried out in the Institute concentrated on Function Theory. Gradually the sphere of investigations expanded and now includes Differential and

Integral In mathematics, an integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding integrals is called integration. Along with ...

Equations,

Functional Analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defi ...

Probability Theory Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set ...

and

Mathematical Statistics Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical an ...

Journals

The institute has a journal, ''

Izvestia NAS RA Matematika ''Izvestia'' ( rus, Известия, p=ɪzˈvʲesʲtʲɪjə, "The News") is a daily broadsheet newspaper in Russia. Founded in 1917, it was a newspaper of record in the Soviet Union until the Soviet Union's dissolution in 1991, and describes i ...

''. The founder and the first Editor in Chief (1971–1990) of the journal was Mkhitar Djrbashian; under Rouben V. Ambartzumian Editor in Chief (1990 - 2010) the journal obtained international recognition and obtained an English version, ''

Journal of Contemporary Mathematical Analysis A journal, from the Old French ''journal'' (meaning "daily"), may refer to: *Bullet journal, a method of personal organization *Diary, a record of what happened over the course of a day or other period *Daybook, also known as a general journal, a ...

'', published initially by Allerton Press, Inc. New York and later by

Springer Science+Business Media Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 ...

. Journal covers a host of topics including:

real analysis In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include conv ...

and

;

approximation theory In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby. Note that what is meant by ''best'' and ''simpler'' wil ...

boundary value problem In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional constraints, called the boundary conditions. A solution to a boundary value problem is a solution to t ...

s; integral geometry and stochastic geometry;

differential equations In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...

;

probability Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, ...

and

statistics Statistics (from German: '' Statistik'', "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, indust ...

; integral equations;

algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary ...

Directors, faculty and members

At present the Institute has about 30 main researchers as well as a number of associate researchers from

Yerevan State University Yerevan State University (YSU; hy, Երևանի Պետական Համալսարան, ԵՊՀ, ''Yerevani Petakan Hamalsaran''), also simply University of Yerevan, is the oldest continuously operating public university in Armenia. Founded in 1919 ...

. Norair Arakelian in 1970 (Nice) and Mkhitar Djrbashian, Rouben V. Ambartzumian in 1974 (Vancouver) were invited speakers at the

International Congresses of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renam ...

References

External links

Institute of Mathematics of National Academy of Sciences of Armenia official site

National Academy of Sciences of Armenia
{{authority control 1944 establishments in Armenia Science and technology in Armenia Research institutes in Armenia Mathematical institutes Integral geometry Research institutes in the Soviet Union

History

Journals

Directors, faculty and members

See also

References

External links