WorldCat Identities

Reshetni︠a︡k, I︠U︡. G. (I︠U︡riĭ Grigorʹevich)

Overview
Works: 77 works in 208 publications in 3 languages and 2,142 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Other
Classifications: QA649, 515.9
Publication Timeline
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Most widely held works about I︠U︡. G Reshetni︠a︡k
 
Most widely held works by I︠U︡. G Reshetni︠a︡k
Space mappings with bounded distortion by I︠U︡. G Reshetni︠a︡k( Book )

11 editions published between 1982 and 1989 in 3 languages and held by 297 WorldCat member libraries worldwide

Geometry IV : nonregular Riemannian geometry by I︠U︡. G Reshetni︠a︡k( Book )

4 editions published in 1993 in English and held by 192 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 )

10 editions published between 1983 and 1990 in English and Russian and held by 177 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
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 173 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 169 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
Stability theorems in geometry and analysis by I︠U︡. G Reshetni︠a︡k( Book )

21 editions published between 1982 and 2011 in Russian and English and held by 157 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
General theory of irregular curves by A. D Aleksandrov( Book )

8 editions published in 1989 in English and held by 156 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
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 149 WorldCat member libraries worldwide

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

8 editions published in 1996 in English and held by 81 WorldCat member libraries worldwide

Geometry II : spaces of constant curvature by Ė. B Vinberg( Book )

21 editions published between 1991 and 2009 in English and held by 61 WorldCat member libraries worldwide

This book contains a systematic and comprehensive exposition of Lobachevskian geometry and the theory of discrete groups of motions in Euclidean space and Lobachevsky space. The authors give a very clear account of their subject describing it from the viewpoints of elementary geometry, Riemannian geometry and group theory. The result is a book which has no rival in the literature. Part I contains the classification of motions in spaces of constant curvature and non-traditional topics like the theory of acute-angled polyhedra and methods for computing volumes of non-Euclidean polyhedra. Part II includes the theory of cristallographic, Fuchsian, and Kleinian groups and an exposition of Thurston's theory of deformations. The greater part of the book is accessible to first-year students in mathematics. At the same time the book includes very recent results which will be of interest to researchers in this field
Nestandartnye metody analiza by A. G Kusraev( Book )

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

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 19 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 G. P Akilov( Book )

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

Non-regular Riemannian geometry( Book )

3 editions published in 1993 in English and German and held by 13 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

Issledovanii︠a︡ po geometrii i matematicheskomu analizu( Book )

2 editions published in 1987 in Russian 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

Issledovanii︠a︡ po matematicheskomu analizu i rimanovoĭ geometrii( Book )

2 editions published in 1992 in Russian and held by 10 WorldCat member libraries worldwide

 
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Audience level: 0.71 (from 0.63 for Geometry I ... to 0.91 for Non-regula ...)

Geometry IV : nonregular Riemannian geometryGeometry II : spaces of constant curvatureNon-regular Riemannian geometry
Alternative Names
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 (74)

Russian (46)

German (1)

Covers
Quasiconformal mappings and Sobolev spacesThe Interaction of Analysis and Geometry : International School--Conference Analysis and Geometry, August 23-September 3, 2004, Novosibirsk, RussiaStability theorems in geometry and analysisGeneral theory of irregular curvesA.D. Alexandrov, selected worksGeometry II : spaces of constant curvatureNon-regular Riemannian geometry