WorldCat Identities

Reshetni︠a︡k, I︠U︡. G. (I︠U︡riĭ Grigorʹevich)

Overview
Works: 79 works in 218 publications in 2 languages and 2,247 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other, Dedicatee
Classifications: QA3, 515.9
Publication Timeline
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Most widely held works about I︠U︡. G Reshetni︠a︡k
 
Most widely held works by I︠U︡. G Reshetni︠a︡k
Geometry IV : nonregular Riemannian geometry by I︠U︡. G Reshetni︠a︡k( Book )

15 editions published between 1993 and 2009 in English and held by 275 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
Space mappings with bounded distortion by I︠U︡. G Reshetni︠a︡k( Book )

6 editions published between 1982 and 1989 in 3 languages and held by 274 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 )

7 editions published in 1995 in English and held by 172 WorldCat member libraries worldwide

General theory of irregular curves by A. D Aleksandrov( Book )

11 editions published in 1989 in English and held by 171 WorldCat member libraries worldwide

One service mathematics has rendered the "Et moi ... si j'a\'ait su comment en revenir, human race. It has put common sense back je n'y scrais point alit: Jules Verne where it belongs, on the topmost shelf next to the dusty canister labc\led 'discarded non The series is divergent; therefore we may be sense'. Eric T. 8c\l able to do something with it. O. Hcaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
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 )

4 editions published in 2007 in English and held by 168 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
Quasiconformal mappings and Sobolev spaces by V. M Golʹdshteĭn( Book )

6 editions published in 1990 in English and held by 158 WorldCat member libraries worldwide

'Ht moi ..., si j'avait su comment en revenir, One lemce mathematics has rendered the je n'y serai. point aile.' human race. It has put common sense back Jule. Verne ... "'" it belong., on the topmost shelf next to the dusty caniller labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'~re of this series
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 )

7 editions published in 1992 in English and held by 150 WorldCat member libraries worldwide

Stability theorems in geometry and analysis by I︠U︡. G Reshetni︠a︡k( Book )

6 editions published in 1994 in English and held by 135 WorldCat member libraries worldwide

A.D. Alexandrov, selected works by A. D Aleksandrov( Book )

in English and held by 63 WorldCat member libraries worldwide

Vvedenie v teorii︠u︡ funkt︠s︡iĭ s obobshchennymi proizvodnymi i kvazikonformnye otobrazhenii︠a︡ by V. M Golʹdshteĭn( Book )

4 editions published in 1983 in Russian and held by 24 WorldCat member libraries worldwide

Teoremy ustoĭchivosti v geometrii i analize by I︠U︡. G Reshetni︠a︡k( Book )

13 editions published between 1982 and 2011 in Russian and English and held by 23 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
Nestandartnye metody analiza by Anatolij Georgijevič Kusrajev( Book )

2 editions published in 1990 in Russian and held by 20 WorldCat member libraries worldwide

Geometry III : theory of surfaces by I︠U︡. D Burago( Book )

5 editions published in 1992 in English and held by 19 WorldCat member libraries worldwide

The theory of two-dimensional surfaces in Euclidean spaces is remarkably rich in deep results and applications, for example in the theory of non-linear partial differential equations, physics and mechanics. This theory has great clarity and intrinsic beauty, and differs in many respects from the theory of multidimensional submanifolds. A separate volume of the Encyclopaedia is therefore devoted to surfaces. It is concerned mainly with the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry (and its generalizations), and, above all, with the question of the influence of properties of intrinsic metrics on the geometry of surfaces. In the first article Yu. D. Burago and S.Z. Shefel' give an extended survey of surfaces from a non-traditional viewpoint stressing the connection between classes of metrics and classes of surfaces in En. A number of conjectures are included. The article of E.R. Rozendorn considers the state of the art of the still incomplete theory of the geometry of surfaces of negative curvature in three-dimensional Euclidean space, and the article of I. Kh. Sabitov considers subtle questions of local bendability and rigidity ofsurfaces. These articles reflect the development of the results of N.V. Efimov and also include statements of unsolved problems
A.D. Alexandrov, selected works by A. D Aleksandrov( Book )

5 editions published in 1996 in English and held by 18 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 18 WorldCat member libraries worldwide

Prostranstvennye otobrazhenii︠a︡ s ogranichennym iskazheniem by I︠U︡. G Reshetni︠a︡k( Book )

2 editions published in 1982 in Russian and held by 16 WorldCat member libraries worldwide

Vektornye reshetki i integralʹnye operatory by I︠U︡. G Reshetni︠a︡k( Book )

3 editions published in 1992 in Russian and held by 16 WorldCat member libraries worldwide

Osnovy matematicheskogo analiza by Gleb P Akilov( Book )

2 editions published in 1980 in Russian and held by 15 WorldCat member libraries worldwide

Issledovanii︠a︡ po geometrii i matematicheskomu analizu( Book )

3 editions published in 1987 in Russian and held by 13 WorldCat member libraries worldwide

 
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Geometry IV : nonregular Riemannian geometry
Alternative Names
Jurij Resjetnjak

Juriy Grigorevitsj Resjetnjak Russisch wiskundige

Rechetniak Iourï Grigorevitch

Rešetnâk, Û. G.

Rešetnjak, Jurij Grigor'evič

Rešetnjak, Jurij Grigor'evič. [t]

Reshetni︠a︡k, I︠U︡. G.

Reshetniak Iurî Grigorʹevich

Reshetni︠a︡k, I︠U︡riĭ Grigorʹevich

Reshetnyak Yu. G.

Reshetnyak, Yurii

Yurii Reshetnyak

Yurii Reshetnyak Soviet Russian mathematician

Γιούρι Ρεσέτνιακ

Решетняк, Ю. Г..

Решетняк, Ю. Г. (Юрий Григорьевич)

Решетняк, Юрий Григорьевич

Languages
English (79)

Russian (35)

Covers
General theory of irregular curvesThe Interaction of Analysis and Geometry : International School--Conference Analysis and Geometry, August 23-September 3, 2004, Novosibirsk, RussiaQuasiconformal mappings and Sobolev spacesStability theorems in geometry and analysisA.D. Alexandrov, selected worksGeometry III : theory of surfaces