WorldCat Identities

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
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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

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 non-regular Riemannian geometry, carried out mostly by Russian mathematicians. The first article written by Reshetnyak is devoted to the theory of two-dimensional 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 Gauss-Bonnet 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

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

The Interaction of Analysis and Geometry : International School--Conference Analysis and Geometry, August 23-September 3, 2004, Novosibirsk, Russia by International School--Conference 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
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

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 quasi-conformal, quasi-isometric 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

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

Geometry( Book )

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 Boolean-valued analysis. The methods that have been developed in the last twenty-five 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 Boolean-valued 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

Ustoĭchivostʹ v C-norme klassov otobrazheniĭ by A. P Kopylov( Book )

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

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

Osnovy matematicheskogo analiza by G. P Akilov( Book )

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

Subdifferent︠s︡ialy : teorii︠a︡ i prilozhenii︠a︡ by A. G Kusraev( Book )

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

Issledovanii︠a︡ po geometrii "v t︠s︡elom" i matematicheskomu analizu( Book )

2 editions published in 1987 in Russian and held by 12 WorldCat member libraries worldwide

 
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Audience Level
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  Kids General Special  
Audience level: 0.71 (from 0.65 for Geometry I ... to 0.89 for Geometry ...)

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.

Languages
English (58)

Russian (41)

Covers
Quasiconformal mappings and Sobolev spacesThe Interaction of Analysis and Geometry : International School--Conference Analysis and Geometry, August 23-September 3, 2004, Novosibirsk, RussiaGeneral theory of irregular curvesStability theorems in geometry and analysisA.D. Alexandrov, selected worksGeometryGeometry