Gvishiani, A. D.
Overview
Works:  22 works in 75 publications in 6 languages and 1,033 library holdings 

Genres:  Dictionaries Biography Maps 
Roles:  Author, Editor 
Classifications:  QA320, 515.7 
Publication Timeline
.
Most widely held works by
A. D Gvishiani
Theorems and problems in functional analysis by
A. A Kirillov(
Book
)
13 editions published in 1982 in 3 languages and held by 486 WorldCat member libraries worldwide
Even the simplest mathematical abstraction of the phenomena of reality the real linecan be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures
13 editions published in 1982 in 3 languages and held by 486 WorldCat member libraries worldwide
Even the simplest mathematical abstraction of the phenomena of reality the real linecan be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures
Artificial intelligence and dynamic systems for geophysical applications by
A. D Gvishiani(
Book
)
11 editions published between 2002 and 2011 in English and German and held by 177 WorldCat member libraries worldwide
The book presents new clustering schemes, dynamical systems and pattern recognition algorithms in geophysical, geodynamical and natural hazard applications. The original mathematical technique is based on both classical and fuzzy sets models. Geophysical and natural hazard applications are mostly original. However, the artificial intelligence technique described in the book can be applied far beyond the limits of Earth science applications. The book is intended for research scientists, tutors, graduate students, scientists in geophysics and engineers
11 editions published between 2002 and 2011 in English and German and held by 177 WorldCat member libraries worldwide
The book presents new clustering schemes, dynamical systems and pattern recognition algorithms in geophysical, geodynamical and natural hazard applications. The original mathematical technique is based on both classical and fuzzy sets models. Geophysical and natural hazard applications are mostly original. However, the artificial intelligence technique described in the book can be applied far beyond the limits of Earth science applications. The book is intended for research scientists, tutors, graduate students, scientists in geophysics and engineers
Dynamic systems and dynamic classification problems in geophysical applications by
J. O Dubois(
Book
)
10 editions published in 1998 in English and Undetermined and held by 148 WorldCat member libraries worldwide
The book contains two main parts dealing both with nonlinear approaches in the study of complex natural systems. In its first part it introduces a new construction of pattern recognition problems applicable to a wide range of geophysical and environmental objects. The classification in such problems depends on time which allows one to formulate the condition of stability of final classifications for verification of its reliability. A new wide set of pattern recognition algorithms with learning ("Voting by Set of Features") is introduced. Theoretical and algorithmical parts are illustrated by some examples of applications to natural hazard assessment. In the second part of the book, an alternative approach to the geophysical applications is given in terms of dynamic systems and corresponding tools. Dynamic systems studies are useful to understand nonlinear time series. Self Organized Criticality and multifractal analysis are powerful new keys for understanding many natural phenomena. All these methods are of great interest in any long data file processing
10 editions published in 1998 in English and Undetermined and held by 148 WorldCat member libraries worldwide
The book contains two main parts dealing both with nonlinear approaches in the study of complex natural systems. In its first part it introduces a new construction of pattern recognition problems applicable to a wide range of geophysical and environmental objects. The classification in such problems depends on time which allows one to formulate the condition of stability of final classifications for verification of its reliability. A new wide set of pattern recognition algorithms with learning ("Voting by Set of Features") is introduced. Theoretical and algorithmical parts are illustrated by some examples of applications to natural hazard assessment. In the second part of the book, an alternative approach to the geophysical applications is given in terms of dynamic systems and corresponding tools. Dynamic systems studies are useful to understand nonlinear time series. Self Organized Criticality and multifractal analysis are powerful new keys for understanding many natural phenomena. All these methods are of great interest in any long data file processing
Fenomen Kosygina : zapiski vnuka by
A. D Gvishiani(
Book
)
2 editions published in 2004 in Russian and held by 37 WorldCat member libraries worldwide
2 editions published in 2004 in Russian and held by 37 WorldCat member libraries worldwide
Teoremy i zadachi funkt︠s︡ionalʹnogo analiza by
A. A Kirillov(
Book
)
10 editions published between 1979 and 1988 in Russian and held by 29 WorldCat member libraries worldwide
10 editions published between 1979 and 1988 in Russian and held by 29 WorldCat member libraries worldwide
Théorèmes et problèmes d'analyse fonctionnelle by
A. A Kirillov(
Book
)
4 editions published in 1982 in French and English and held by 23 WorldCat member libraries worldwide
4 editions published in 1982 in French and English and held by 23 WorldCat member libraries worldwide
Dinamicheskie zadachi klassifikat︠s︡ii i vypukloe programmirovanie v prilozhenii︠a︡kh by
A. D Gvishiani(
Book
)
2 editions published in 1992 in Russian and held by 10 WorldCat member libraries worldwide
2 editions published in 1992 in Russian and held by 10 WorldCat member libraries worldwide
Prognozirovanie mest zemletri︠a︡seniĭ v regionakh umerennoĭ seĭsmichnosti(
Book
)
1 edition published in 1988 in Russian and held by 8 WorldCat member libraries worldwide
1 edition published in 1988 in Russian and held by 8 WorldCat member libraries worldwide
Teoremi e problemi dell'analisi funzionale by
A. A Kirillov(
Book
)
3 editions published in 1983 in Italian and English and held by 7 WorldCat member libraries worldwide
3 editions published in 1983 in Italian and English and held by 7 WorldCat member libraries worldwide
Fenomen Kosygina : zapiski vnuka. Mnenija sovremennikov by
A. D Gvishiani(
Book
)
2 editions published in 2004 in Russian and held by 4 WorldCat member libraries worldwide
2 editions published in 2004 in Russian and held by 4 WorldCat member libraries worldwide
Feladatok a funkcionálanalízis köréből by Aleksandr Aleksandrovič Kirillov(
Book
)
3 editions published between 1985 and 1988 in Hungarian and Undetermined and held by 3 WorldCat member libraries worldwide
3 editions published between 1985 and 1988 in Hungarian and Undetermined and held by 3 WorldCat member libraries worldwide
Sustainable development global simulation : quality of life and security of the world population (20052007/2008) by
M. Z Zhurovsʹkyĭ(
Book
)
2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
Recognition of earthquake proneareas in the Pyrenees and metalic mineral deposits locations(
Book
)
2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
The atlas of the earth's magnetic field(
)
2 editions published in 2014 in English and held by 2 WorldCat member libraries worldwide
The Atlas of the Earth's Magnetic Field represents a unified set of physical, geographic, thematic, and historical materials for a detailed study of the geomagnetic field from 1500 to 2010. The Atlas is intended for a wide range of scientists, teachers, students and experts in applied areas relating to the geosciences, including geologists and geophysicists studying geomagnetism. The Atlas is a unique cartographic product that contains comprehensive and scientifically grounded characteristics of geomagnetic phenomenon, and contains the results of historical and modern studies of the Earth's magnetic field
2 editions published in 2014 in English and held by 2 WorldCat member libraries worldwide
The Atlas of the Earth's Magnetic Field represents a unified set of physical, geographic, thematic, and historical materials for a detailed study of the geomagnetic field from 1500 to 2010. The Atlas is intended for a wide range of scientists, teachers, students and experts in applied areas relating to the geosciences, including geologists and geophysicists studying geomagnetism. The Atlas is a unique cartographic product that contains comprehensive and scientifically grounded characteristics of geomagnetic phenomenon, and contains the results of historical and modern studies of the Earth's magnetic field
Teoremy i zadachi funktsional'nogo analiza by Aleksandr A Kirillov(
Book
)
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
Prognozirovanie mest zemletrâsenij v regionah umerennoj sejsmičnosti(
Book
)
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
Ėlementy nearkhimedova analiza by
A. D Gvishiani(
Book
)
1 edition published in 1979 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1979 in Russian and held by 1 WorldCat member library worldwide
Kratkiĭ slovarʹ po sot︠s︡iologii by
E. M KORŽEVA(
Book
)
1 edition published in 1989 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1989 in Russian and held by 1 WorldCat member library worldwide
Artificial intelligence and dynamic systems for geophysical applications(
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Kratkij slovar' po sociologii(
Book
)
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1988 in Russian and held by 1 WorldCat member library worldwide
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Related Identities
 Kirillov, A. A. (Aleksandr Aleksandrovich) 1936 Author
 Dubois, J. O. (Jacques Octav) 1931 Author
 Kosygin, Aleksey Nikolayevich 19041980
 McFaden, Harold Hogan
 Kirillov, Alexandre A. Author
 Gurvich, V. A. (Vladimir Aleksandrovich)
 Pisarenko, V. F.
 Institut fiziki Zemli im. O.I︠U︡. Shmidta
 Zhurovsʹkyĭ, M. Z. (Mykhaĭlo Zakharovych) Author
 Kirillov, Aleksandr A. Author
Useful Links
Associated Subjects
Artificial intelligence Artificial intelligenceGeophysical applications Computer scienceMathematics Convex programming Differentiable dynamical systems Earthquake prediction Functional analysis Geodynamics GeodynamicsMathematical models Geographic information systems Geography Geomagnetism GeophysicsData processing GeophysicsMathematical models Global analysis (Mathematics) Kosygin, Aleksey Nikolayevich, Mathematics Nonlinear theories Optical pattern recognition Pattern perception Physical geography Politicians Politics and government Quality of lifeMathematical models Sociology Soviet Union Sustainable developmentMathematical models
Alternative Names
Aleksey Dzjermenovitsj Gvisjiani Russisch wiskundige
Gvichiani, A.
Gvichiani, Aleksei Germenovitch
Gvishiani, A.
Gvishiani, A. 1948
Gvishiani, A.D.
Gvishiani, Alekseĭ Dzhermenovich
Gvishiani, Alekseĭ Dzhermenovich 1948
Gvishiani, Alexei.
Gvishiani, Alexei 1948...
Gvishiani, Alexej 1948
Gvišiani, A.D
Gvišiani, A. D. 1948
Gvišiani, Aleksej 1948
Gvišiani, Aleksej Džermenovič
Gvišiani, Aleksej Džermenovič 1948
Гвишиани, Алексей Джерменович
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