Kutateladze, S. S. (Semen Samsonovich)
Overview
Works:  114 works in 310 publications in 3 languages and 2,154 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Honoree 
Publication Timeline
.
Most widely held works by
S. S Kutateladze
Second International Conference on Algebra : dedicated to the memory of A.I. Shirshov : proceedings of the second International
Conference on Algebra, August 2025, 1991, Barnaul, Russua by International Conference on Algebra(
Book
)
13 editions published between 1995 and 2012 in English and held by 233 WorldCat member libraries worldwide
13 editions published between 1995 and 2012 in English and held by 233 WorldCat member libraries worldwide
Nonstandard methods of analysis by
A. G Kusraev(
Book
)
18 editions published between 1994 and 2012 in English and held by 214 WorldCat member libraries worldwide
Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Booleanvalued analysis. The methods that have been developed in the last twentyfive years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Booleanvalued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. <br/> For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work. <br/>
18 editions published between 1994 and 2012 in English and held by 214 WorldCat member libraries worldwide
Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Booleanvalued analysis. The methods that have been developed in the last twentyfive years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Booleanvalued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. <br/> For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work. <br/>
Subdifferentials : theory and applications by
A. G Kusraev(
Book
)
17 editions published in 1995 in English and Italian and held by 200 WorldCat member libraries worldwide
This monograph presents the most important results of a new branch of functional analysis: subdifferential calculus and its applications. New tools and techniques of convex and nonsmooth analysis are presented, such as Kantorovich spaces, vector duality, Booleanvalued and infinitesimal versions of nonstandard analysis, etc., covering a wide range of topics. <br/> This volume fills the gap between the theoretical core of modern functional analysis and its applicable sections, such as optimization, optimal control, mathematical programming, economics and related subjects. <br/> The material in this book will be of interest to theoretical mathematicians looking for possible new applications and applied mathematicians seeking powerful contemporary theoretical methods. <br/>
17 editions published in 1995 in English and Italian and held by 200 WorldCat member libraries worldwide
This monograph presents the most important results of a new branch of functional analysis: subdifferential calculus and its applications. New tools and techniques of convex and nonsmooth analysis are presented, such as Kantorovich spaces, vector duality, Booleanvalued and infinitesimal versions of nonstandard analysis, etc., covering a wide range of topics. <br/> This volume fills the gap between the theoretical core of modern functional analysis and its applicable sections, such as optimization, optimal control, mathematical programming, economics and related subjects. <br/> The material in this book will be of interest to theoretical mathematicians looking for possible new applications and applied mathematicians seeking powerful contemporary theoretical methods. <br/>
Vector lattices and integral operators by
S. S Kutateladze(
Book
)
13 editions published in 1996 in English and held by 162 WorldCat member libraries worldwide
The theory of vector lattices, stemming from the midthirties, is now at the stage where its main achievements are being summarized. The sweeping changes of the last two decades have changed its image completely. The range of its application was expanded and enriched so as to embrace diverse branches of the theory of functions, geometry of Banach spaces, operator theory, convex analysis, etc. Furthermore, the theory of vector lattices was impregnated with principally new tools and techniques from other sections of mathematics. These circumstances gave rise to a series of mono graphs treating separate aspects of the theory and oriented to specialists. At the same time, the necessity of a book intended for a wider readership, reflecting the modern diretions of research became clear. The present book is meant to be an attempt at implementing this task. Although oriented to readers making their first acquaintance with vectorlattice theory, it is composed so that the main topics dealt with in the book reach the current level of research in the field, which is of interest and import for specialists. The monograph was conceived so as to be divisible into two parts that can be read independently of one another. The first part is mainly Chapter 1, devoted to the socalled Booleanvalued analysis of vector lattices. The term designates the applica tion of the theory of Booleanvalued models by D. Scott, R. Solovay and P
13 editions published in 1996 in English and held by 162 WorldCat member libraries worldwide
The theory of vector lattices, stemming from the midthirties, is now at the stage where its main achievements are being summarized. The sweeping changes of the last two decades have changed its image completely. The range of its application was expanded and enriched so as to embrace diverse branches of the theory of functions, geometry of Banach spaces, operator theory, convex analysis, etc. Furthermore, the theory of vector lattices was impregnated with principally new tools and techniques from other sections of mathematics. These circumstances gave rise to a series of mono graphs treating separate aspects of the theory and oriented to specialists. At the same time, the necessity of a book intended for a wider readership, reflecting the modern diretions of research became clear. The present book is meant to be an attempt at implementing this task. Although oriented to readers making their first acquaintance with vectorlattice theory, it is composed so that the main topics dealt with in the book reach the current level of research in the field, which is of interest and import for specialists. The monograph was conceived so as to be divisible into two parts that can be read independently of one another. The first part is mainly Chapter 1, devoted to the socalled Booleanvalued analysis of vector lattices. The term designates the applica tion of the theory of Booleanvalued models by D. Scott, R. Solovay and P
Intrinsic geometry of convex surfaces by
Aleksandr Danilovič Aleksandrov(
Book
)
9 editions published between 2004 and 2006 in English and held by 142 WorldCat member libraries worldwide
"A. D. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus."Jacket
9 editions published between 2004 and 2006 in English and held by 142 WorldCat member libraries worldwide
"A. D. Alexandrov's work was both original and extremely influential. This book gave rise to studying surfaces "in the large," rejecting the limitations of smoothness, and reviving the style of Euclid. Progress in geometry in recent decades correlates with the resurrection of the synthetic methods of geometry and brings the ideas of Alexandrov once again into focus."Jacket
Fundamentals of functional analysis by
S. S Kutateladze(
Book
)
13 editions published between 1983 and 2010 in 3 languages and held by 136 WorldCat member libraries worldwide
13 editions published between 1983 and 2010 in 3 languages and held by 136 WorldCat member libraries worldwide
A.D. Alexandrov, selected works by
Alexandr Danilovich Alexandrov(
Book
)
9 editions published between 2002 and 2006 in English and held by 89 WorldCat member libraries worldwide
9 editions published between 2002 and 2006 in English and held by 89 WorldCat member libraries worldwide
Nonstandard analysis and vector lattices(
Book
)
1 edition published in 2000 in English and held by 89 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 89 WorldCat member libraries worldwide
Infinitesimal analysis by
E. I Gordon(
Book
)
1 edition published in 2002 in English and held by 87 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 87 WorldCat member libraries worldwide
Nonstandard analysis and vector lattices by
S. S Kutateladze(
)
7 editions published in 2000 in English and held by 82 WorldCat member libraries worldwide
This book collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Booleanvalued constructions of use in the classical problems of representing abstract analytical objects, such as BanachKantorovich spaces, vector measures, and dominated and integral operators. This book is a complement to Volume 358 of "Mathematics and Its Applications": Vector Lattices and Integral Operators, printed in 1996. Audience: The book is intended for the reader interested in the modern tools of nonstandard models of set theory as applied to problems of contemporary functional analysis. It will also be of use to mathematicians, students and postgraduates interested in measure and integration, operator theory, and mathematical logic and foundation
7 editions published in 2000 in English and held by 82 WorldCat member libraries worldwide
This book collects applications of nonstandard methods to the theory of vector lattices. Primary attention is paid to combining infinitesimal and Booleanvalued constructions of use in the classical problems of representing abstract analytical objects, such as BanachKantorovich spaces, vector measures, and dominated and integral operators. This book is a complement to Volume 358 of "Mathematics and Its Applications": Vector Lattices and Integral Operators, printed in 1996. Audience: The book is intended for the reader interested in the modern tools of nonstandard models of set theory as applied to problems of contemporary functional analysis. It will also be of use to mathematicians, students and postgraduates interested in measure and integration, operator theory, and mathematical logic and foundation
Infinitesimal analysis by
E. I Gordon(
)
7 editions published in 2002 in English and held by 72 WorldCat member libraries worldwide
Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing uptodate methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0792359216 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0792366190
7 editions published in 2002 in English and held by 72 WorldCat member libraries worldwide
Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing uptodate methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0792359216 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0792366190
Fundamentals of Functional Analysis by
S. S Kutateladze(
)
2 editions published in 1996 in English and held by 58 WorldCat member libraries worldwide
This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the RieszDunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. More than one hundred famous `named' theorems, culminating in the GelfandNaimarkSegal construction for C*algebras, are treated, and complete proofs are given. This volume, which is regarded already as a standard textbook in functional analysis, has been translated from the second, completely revised and updated Russian edition. It incorporates new sections on the Schwartz spaces of distributions, Radon measures, and a supplementary list of theoretical exercises and problems. Audience: This monograph will be of value to researchers and students who are interested in functional analysis
2 editions published in 1996 in English and held by 58 WorldCat member libraries worldwide
This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the RieszDunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. More than one hundred famous `named' theorems, culminating in the GelfandNaimarkSegal construction for C*algebras, are treated, and complete proofs are given. This volume, which is regarded already as a standard textbook in functional analysis, has been translated from the second, completely revised and updated Russian edition. It incorporates new sections on the Schwartz spaces of distributions, Radon measures, and a supplementary list of theoretical exercises and problems. Audience: This monograph will be of value to researchers and students who are interested in functional analysis
A.D. Alexandrov, selected works by
A. D Aleksandrov(
Book
)
6 editions published between 1996 and 2014 in English and held by 31 WorldCat member libraries worldwide
Alexandr Danilovich Alexandrov has been called a giant of 20thcentury mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the discipline's most difficult and enduring challenges. He was the first to apply many of the tools and methods of the theory of real functions and functional analysis that are now current in geometry. The topics here include convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for Dirichlet problems. This monograph, published in English for the first time, gives unparalleled access to a brilliant mind, and advanced students and researchers in applied mathematics and geometry will find it indispensable
6 editions published between 1996 and 2014 in English and held by 31 WorldCat member libraries worldwide
Alexandr Danilovich Alexandrov has been called a giant of 20thcentury mathematics. This volume contains some of the most important papers by this renowned geometer and hence, some of his most influential ideas. Alexandrov addressed a wide range of modern mathematical problems, and he did so with intelligence and elegance, solving some of the discipline's most difficult and enduring challenges. He was the first to apply many of the tools and methods of the theory of real functions and functional analysis that are now current in geometry. The topics here include convex polyhedrons and closed surfaces, an elementary proof and extension of Minkowski's theorem, Riemannian geometry and a method for Dirichlet problems. This monograph, published in English for the first time, gives unparalleled access to a brilliant mind, and advanced students and researchers in applied mathematics and geometry will find it indispensable
Dvoĭstvennostʹ Minkovskogo i ee prilozhenii︠a︡ by
S. S Kutateladze(
Book
)
2 editions published in 1976 in Russian and held by 25 WorldCat member libraries worldwide
2 editions published in 1976 in Russian and held by 25 WorldCat member libraries worldwide
Subdifferent︠s︡ialʹnoe ischislenie by
A. G Kusraev(
Book
)
5 editions published between 1987 and 2007 in Russian and held by 25 WorldCat member libraries worldwide
5 editions published between 1987 and 2007 in Russian and held by 25 WorldCat member libraries worldwide
Upori︠a︡dochennye vektornye prostranstva by
G. P Akilov(
Book
)
2 editions published in 1978 in Russian and held by 23 WorldCat member libraries worldwide
2 editions published in 1978 in Russian and held by 23 WorldCat member libraries worldwide
Nestandartnye metody analiza by
A. G Kusraev(
Book
)
4 editions published in 1990 in Russian and Undetermined and held by 22 WorldCat member libraries worldwide
4 editions published in 1990 in Russian and Undetermined and held by 22 WorldCat member libraries worldwide
Vektornai︠a︡ dvoĭstvennostʹ i ee prilozhenii︠a︡ by
A. G Kusraev(
Book
)
2 editions published in 1985 in Russian and held by 21 WorldCat member libraries worldwide
2 editions published in 1985 in Russian and held by 21 WorldCat member libraries worldwide
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Related Identities
 Kusraev, A. G. Author
 Aleksandrov, A. D. (Aleksandr Danilovich) 19121999 Author
 Кострикин, А. И (Алексей Иванович) Other Editor
 Bokutʹ, L. A. (Leonid Arkadʹevich) 1937 Other Author Editor
 Reshetni︠a︡k, I︠U︡. G. (I︠U︡riĭ Grigorʹevich) Author Editor
 Gordon, E. I. (Evgenii Izrailevich) 1949 Author
 Naidu, P. S. V. Translator
 Vakhrameyev, S. Translator
 Akilov, Gleb Pavlovich Author
 Канторович, Л. В (Леонид Витальевич) 1912 Author
Useful Links
Associated Subjects
Algebra Calculus Convex functions Convex surfaces Differential calculus Differential equations, PartialNumerical solutions Discrete groups Duality theory (Mathematics) Functional analysis Geometry, Differential Integral operators Logic, Symbolic and mathematical Mathematical optimization Mathematics Nonsmooth optimization Nonstandard mathematical analysis Operator theory Polyhedra Riesz spaces Subdifferentials Topology Vector lattices, Archimedian Vector spaces Vector valued functions
Covers
Alternative Names
Koutateladze Semen Samsonovitch 1945....
Kutaeladze, S. S. 1945
Kutaeladze, S. S. (Semen Samsonovich)
Kutateladze, S. 1945
Kutateladze, S. S.
Kutateladze S. S. 1945
Kutateladze Semen S.
Kutateladze, Semen Samsonovič 1945
Kutateladze Semen Samsonovich
Kutateladze, Semen Samsonovich 1945
Semen Samsonovich Kutateladze matemático ruso
Semen Samsonovich Kutateladze mathématicien russe
Semen Samsonovich Kutateladze Russian mathematician
Кутателадзе С. С
Кутателадзе, С. С. (Семен Самсонович)
Семён Кутателадзе российский и советский учёный в области математики
Languages