Reshetni︠a︡k, I︠U︡riĭ Grigorʹevich
Overview
Works:  75 works in 175 publications in 2 languages and 1,995 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, ed 
Classifications:  QA3, 515.9 
Publication Timeline
.
Most widely held works about
I︠U︡riĭ Grigorʹevich Reshetni︠a︡k
Most widely held works by
I︠U︡riĭ Grigorʹevich Reshetni︠a︡k
Space mappings with bounded distortion by
I︠U︡riĭ Grigorʹevich Reshetni︠a︡k(
Book
)
10 editions published between 1982 and 1989 in 3 languages and held by 289 WorldCat member libraries worldwide
10 editions published between 1982 and 1989 in 3 languages and held by 289 WorldCat member libraries worldwide
Geometry IV : nonregular Riemannian geometry by
I︠U︡riĭ Grigorʹevich Reshetni︠a︡k(
Book
)
4 editions published in 1993 in English and held by 188 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two articles, which give a survey of modern research into nonregular Riemannian geometry, carried out mostly by Russian mathematicians. The first article written by Reshetnyak is devoted to the theory of twodimensional Riemannian manifolds of bounded curvature. Concepts of Riemannian geometry, such as the area andintegral curvature of a set, and the length and integral curvature of a curve are also defined for these manifolds. Some fundamental results of Riemannian goemetry like the GaussBonnet formula are true in the more general case considered in the book. The second article by Berestovskij and Nikolaev is devoted to the theory of metric spaces whose curvature lies between two given constants. The main result is that these spaces are infact Riemannian. This result has important applications in global Riemanniangeometry. Both parts cover topics, which have not yet been treated in monograph form. Hence the book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry
4 editions published in 1993 in English and held by 188 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains two articles, which give a survey of modern research into nonregular Riemannian geometry, carried out mostly by Russian mathematicians. The first article written by Reshetnyak is devoted to the theory of twodimensional Riemannian manifolds of bounded curvature. Concepts of Riemannian geometry, such as the area andintegral curvature of a set, and the length and integral curvature of a curve are also defined for these manifolds. Some fundamental results of Riemannian goemetry like the GaussBonnet formula are true in the more general case considered in the book. The second article by Berestovskij and Nikolaev is devoted to the theory of metric spaces whose curvature lies between two given constants. The main result is that these spaces are infact Riemannian. This result has important applications in global Riemanniangeometry. Both parts cover topics, which have not yet been treated in monograph form. Hence the book will be immensely useful to graduate students and researchers in geometry, in particular Riemannian geometry
Quasiconformal mappings and Sobolev spaces by
V. M Golʹdshteĭn(
Book
)
8 editions published between 1983 and 1990 in English and Russian and held by 172 WorldCat member libraries worldwide
8 editions published between 1983 and 1990 in English and Russian and held by 172 WorldCat member libraries worldwide
Third Siberian School Algebra and Analysis : proceedings of the third Siberian School, Irkutsk State University, Irkutsk,
1989 by
1989, Irkutsk) Siberian School Algebra and Analysis (3(
Book
)
6 editions published in 1995 in English and held by 169 WorldCat member libraries worldwide
6 editions published in 1995 in English and held by 169 WorldCat member libraries worldwide
The Interaction of Analysis and Geometry : International SchoolConference Analysis and Geometry, August 23September 3,
2004, Novosibirsk, Russia by International SchoolConference on Analysis and Geometry(
Book
)
3 editions published in 2007 in English and held by 166 WorldCat member libraries worldwide
"The papers in this volume are based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004). The topics include geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion (quasiregular mappings), nonlinear potential theory, Sobolev spaces, spaces with fractional and generalized smoothness, variational problems, and other modern trends in these areas."Jacket
3 editions published in 2007 in English and held by 166 WorldCat member libraries worldwide
"The papers in this volume are based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004). The topics include geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion (quasiregular mappings), nonlinear potential theory, Sobolev spaces, spaces with fractional and generalized smoothness, variational problems, and other modern trends in these areas."Jacket
General theory of irregular curves by
A. D Aleksandrov(
Book
)
6 editions published in 1989 in English and held by 156 WorldCat member libraries worldwide
6 editions published in 1989 in English and held by 156 WorldCat member libraries worldwide
Stability theorems in geometry and analysis by
I︠U︡riĭ Grigorʹevich Reshetni︠a︡k(
Book
)
19 editions published between 1982 and 2011 in Russian and English and held by 153 WorldCat member libraries worldwide
This is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasiconformal, quasiisometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space
19 editions published between 1982 and 2011 in Russian and English and held by 153 WorldCat member libraries worldwide
This is one of the first monographs to deal with the metric theory of spatial mappings and incorporates results in the theory of quasiconformal, quasiisometric and other mappings. The main subject is the study of the stability problem in Liouville's theorem on conformal mappings in space
Second Siberian Winter School "Algebra and Analysis" : proceedings of the Second Siberian School, Tomsk State University,
Tomsk, 1989 by
1989, Tomsk) Siberian Winter School Algebra and Analysis (2(
Book
)
5 editions published in 1992 in English and held by 147 WorldCat member libraries worldwide
5 editions published in 1992 in English and held by 147 WorldCat member libraries worldwide
A.D. Alexandrov, selected works by
A. D Aleksandrov(
Book
)
4 editions published in 1996 in English and held by 66 WorldCat member libraries worldwide
4 editions published in 1996 in English and held by 66 WorldCat member libraries worldwide
Geometry(
Book
)
6 editions published between 1993 and 2009 in English and held by 39 WorldCat member libraries worldwide
6 editions published between 1993 and 2009 in English and held by 39 WorldCat member libraries worldwide
Nonstandard methods of analysis by
A. G Kusraev(
Book
)
2 editions published in 1990 in Russian and held by 19 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. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work
2 editions published in 1990 in Russian and held by 19 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. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work
Different︠s︡ialʹnye uravnenii︠a︡ s chastnymi proizvodnymi : trudy mezhdunarodnoĭ konferent︠s︡ii po different︠s︡ialʹnym uravnenii︠a︡m
s chastnymi proizvodnymi by Mezhdunarodnai︠a︡ konferent︠s︡ii︠a︡ po different︠s︡ialʹnym uravnenii︠a︡m s chastnymi proizvodnymi(
Book
)
2 editions published in 1986 in Russian and held by 19 WorldCat member libraries worldwide
2 editions published in 1986 in Russian and held by 19 WorldCat member libraries worldwide
Ustoĭchivostʹ v Cnorme klassov otobrazheniĭ by A. P Kopylov(
Book
)
3 editions published in 1990 in Russian and held by 17 WorldCat member libraries worldwide
3 editions published in 1990 in Russian and held by 17 WorldCat member libraries worldwide
Vektornye reshetki i integralʹnye operatory by
I︠U︡riĭ Grigorʹevich Reshetni︠a︡k(
Book
)
3 editions published in 1992 in Russian and held by 15 WorldCat member libraries worldwide
3 editions published in 1992 in Russian and held by 15 WorldCat member libraries worldwide
A.D. Alexandrov, selected works by
A. D Aleksandrov(
Book
)
3 editions published in 1996 in English and held by 15 WorldCat member libraries worldwide
3 editions published in 1996 in English and held by 15 WorldCat member libraries worldwide
Osnovy matematicheskogo analiza by
G. P Akilov(
Book
)
1 edition published in 1980 in Russian and held by 14 WorldCat member libraries worldwide
1 edition published in 1980 in Russian and held by 14 WorldCat member libraries worldwide
Issledovanii︠a︡ po geometrii i matematicheskomu analizu(
Book
)
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
Subdifferent︠s︡ialy : teorii︠a︡ i prilozhenii︠a︡ by
A. G Kusraev(
Book
)
2 editions published in 1992 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1992 in Russian and held by 12 WorldCat member libraries worldwide
Geometry by
Dmitriĭ Vladimirovich Alekseevskiĭ(
Book
)
8 editions published in 1993 in English and held by 12 WorldCat member libraries worldwide
8 editions published in 1993 in English and held by 12 WorldCat member libraries worldwide
Issledovanii︠a︡ po geometrii "v t︠s︡elom" i matematicheskomu analizu(
Book
)
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide
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Related Identities
 Bokutʹ, L. A. (Leonid Arkadʹevich) 1937 Editor
 Aleksandrov, A. D. (Aleksandr Danilovich) 19121999 Author
 Golʹdshteĭn, V. M. (Vladimir Mikhaĭlovich) Author
 Vodopʹi︠a︡nov, S. K. (Sergeĭ Konstantinovich)
 Burenkov, Victor I. 1941
 Iwaniec, Tadeusz
 Hazewinkel, Michiel Editor
 Kutateladze, S. S. (Semen Samsonovich) Editor
 Ivanov, Simeon Editor
 Aleksandrov, Igorʹ Aleksandrovich Editor
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Associated Subjects
Algebra Conformal mapping Convex functions Convex surfaces Curves on surfaces Differential equations Differential equations, PartialNumerical solutions Engineering mathematics Functional analysis Functional equations Functions Geometry Geometry, Analytic Geometry, Differential Geometry, Riemannian Global analysis (Mathematics) Global differential geometry Integral equations Integral operators Integral transforms Logic, Symbolic and mathematical Mappings (Mathematics) Mathematical analysis Mathematical optimization Mathematics Nonstandard mathematical analysis Quasiconformal mappings Reshetni︠a︡k, I︠U︡riĭ Grigorʹevich Riesz spaces Stability Subdifferentials Topological groups Topology Vector spaces
Alternative Names
Rechetniak Iourï Grigorevitch
Rešetnâk, Û. G.
Rešetnjak, Jurij Grigor'evič
Rešetnjak, Jurij Grigor'evič. [t]
Reshetni︠a︡k, I︠U︡. G.
Reshetni︠a︡k, I︠U︡. G. (I︠U︡riĭ Grigorʹevich)
Reshetniak Iurî Grigorʹevich
Reshetniak, Iuriĭ Grigorʹevich
Reshetnyak Yu. G.
Reshetnyak, Yurii
Yurii Reshetnyak
Yurii Reshetnyak Soviet Russian mathematician
Решетняк, Ю. Г..
Решетняк, Юрий Григорьевич.
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