Zalgaller, V. A. (Viktor A.)
Overview
Works:  54 works in 183 publications in 3 languages and 2,039 library holdings 

Roles:  Author, Editor, Translator, ed, Creator 
Classifications:  QA641, 516.7 
Publication Timeline
.
Most widely held works by
V. A Zalgaller
Geometric inequalities by
I︠U︡. D Burago(
Book
)
27 editions published between 1980 and 2010 in 3 languages and held by 502 WorldCat member libraries worldwide
Geometrie inequalities have a wide range of applieationswithin geometry itself as weIl as beyond its limits. The theory of funetions of a eomplex variable, the ealculus of variations in the large, embedding theorems of funetion spaees, a priori estimates for solutions of differential equations yield many sueh examples. We have attempted to piek out the most general inequalities and, in model eases, we exhibit effeetive geometrie eonstruetions and the means of proving sueh inequalities. A substantial part of this book deals with isoperimetrie inequalities and their generalizations, but, for all their variety, they do not exhaust the eontents ofthe book. The objeets under eonsideration, as a rule, are quite general. They are eurves, surfaees and other manifolds, embedded in an underlying space or supplied with an intrinsie metrie. Geometrie inequalities, used for different purposes, appear in different eontextssurrounded by a variety ofteehnieal maehinery, with diverse require ments for the objeets under study. Therefore the methods of proof will differ not only from ehapter to ehapter, but even within individual seetions. An inspeetion of monographs on algebraie and funetional inequalities ([HLP], [BeB], [MV], [MM]) shows that this is typical for books of this type
27 editions published between 1980 and 2010 in 3 languages and held by 502 WorldCat member libraries worldwide
Geometrie inequalities have a wide range of applieationswithin geometry itself as weIl as beyond its limits. The theory of funetions of a eomplex variable, the ealculus of variations in the large, embedding theorems of funetion spaees, a priori estimates for solutions of differential equations yield many sueh examples. We have attempted to piek out the most general inequalities and, in model eases, we exhibit effeetive geometrie eonstruetions and the means of proving sueh inequalities. A substantial part of this book deals with isoperimetrie inequalities and their generalizations, but, for all their variety, they do not exhaust the eontents ofthe book. The objeets under eonsideration, as a rule, are quite general. They are eurves, surfaees and other manifolds, embedded in an underlying space or supplied with an intrinsie metrie. Geometrie inequalities, used for different purposes, appear in different eontextssurrounded by a variety ofteehnieal maehinery, with diverse require ments for the objeets under study. Therefore the methods of proof will differ not only from ehapter to ehapter, but even within individual seetions. An inspeetion of monographs on algebraie and funetional inequalities ([HLP], [BeB], [MV], [MM]) shows that this is typical for books of this type
Intrinsic geometry of surfaces by
A. D Aleksandrov(
Book
)
17 editions published between 1967 and 2004 in English and Undetermined and held by 430 WorldCat member libraries worldwide
17 editions published between 1967 and 2004 in English and Undetermined and held by 430 WorldCat member libraries worldwide
Convex polyhedra with regular faces by
V. A Zalgaller(
Book
)
13 editions published between 1966 and 1969 in 3 languages and held by 311 WorldCat member libraries worldwide
13 editions published between 1966 and 1969 in 3 languages and held by 311 WorldCat member libraries worldwide
Geometry III : theory of surfaces by
I︠U︡. D Burago(
Book
)
22 editions published between 1991 and 2009 in English and held by 292 WorldCat member libraries worldwide
The theory of twodimensional surfaces in Euclidean spaces is remarkably rich in deep results and applications, for example in the theory of nonlinear 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 twodimensional 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 nontraditional 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 threedimensional 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
22 editions published between 1991 and 2009 in English and held by 292 WorldCat member libraries worldwide
The theory of twodimensional surfaces in Euclidean spaces is remarkably rich in deep results and applications, for example in the theory of nonlinear 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 twodimensional 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 nontraditional 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 threedimensional 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
Twodimensional manifolds of bounded curvature by
A. D Aleksandrov(
Book
)
9 editions published in 1967 in English and held by 224 WorldCat member libraries worldwide
9 editions published in 1967 in English and held by 224 WorldCat member libraries worldwide
Geometry II : spaces of constant curvature by
Ė. B Vinberg(
Book
)
13 editions published between 1991 and 1993 in English and held by 20 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 nontraditional topics like the theory of acuteangled polyhedra and methods for computing volumes of nonEuclidean 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 firstyear students in mathematics. At the same time the book includes very recent results which will be of interest to researchers in this field
13 editions published between 1991 and 1993 in English and held by 20 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 nontraditional topics like the theory of acuteangled polyhedra and methods for computing volumes of nonEuclidean 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 firstyear students in mathematics. At the same time the book includes very recent results which will be of interest to researchers in this field
Vvedenie v rimanovu geometrii︠u︡ by
I︠U︡. D Burago(
Book
)
6 editions published in 1994 in Russian and held by 18 WorldCat member libraries worldwide
6 editions published in 1994 in Russian and held by 18 WorldCat member libraries worldwide
Theory of surfaces(
Book
)
3 editions published in 1992 in English and held by 16 WorldCat member libraries worldwide
3 editions published in 1992 in English and held by 16 WorldCat member libraries worldwide
Rat︠s︡ionalʹnyĭ raskroĭ promyshlennykh materialov by
L. V Kantorovich(
Book
)
2 editions published in 1971 in Russian and held by 11 WorldCat member libraries worldwide
2 editions published in 1971 in Russian and held by 11 WorldCat member libraries worldwide
Geometry I : basic ideas and concepts of differential geometry by
Dmitriĭ Vladimirovich Alekseevskiĭ(
Book
)
8 editions published in 1991 in English and Undetermined and held by 11 WorldCat member libraries worldwide
8 editions published in 1991 in English and Undetermined and held by 11 WorldCat member libraries worldwide
Dvumernye mnogoobrazija organičennoj krivizny : osnovy vnutrennej geometrii poverchnostej by
A. D Aleksandrov(
Book
)
4 editions published between 1962 and 1965 in Russian and held by 10 WorldCat member libraries worldwide
4 editions published between 1962 and 1965 in Russian and held by 10 WorldCat member libraries worldwide
Teorii︠a︡ ogibai︠u︡shchikh by
V. A Zalgaller(
Book
)
2 editions published in 1975 in Russian and held by 9 WorldCat member libraries worldwide
2 editions published in 1975 in Russian and held by 9 WorldCat member libraries worldwide
Dvumernyemmnogoobrazija ograničennoj krivizny by
A. D Aleksandrov(
Book
)
1 edition published in 1962 in Russian and held by 7 WorldCat member libraries worldwide
1 edition published in 1962 in Russian and held by 7 WorldCat member libraries worldwide
Geometry. Nonregular riemannian geometry. Edited by Yu. G. Reshetnyak(
Book
)
4 editions published between 1991 and 1993 in English and held by 6 WorldCat member libraries worldwide
4 editions published between 1991 and 1993 in English and held by 6 WorldCat member libraries worldwide
Geometry. Minimal surfaces(
Book
)
4 editions published between 1991 and 1997 in English and held by 6 WorldCat member libraries worldwide
4 editions published between 1991 and 1997 in English and held by 6 WorldCat member libraries worldwide
Teorija ogibajuščich by
V. A Zalgaller(
Book
)
2 editions published in 1975 in Russian and held by 5 WorldCat member libraries worldwide
2 editions published in 1975 in Russian and held by 5 WorldCat member libraries worldwide
Dvumernye mnogoobraziia ogranichennoi krivizny, Ch. 2 : sbornik statei po vnutrennei geometrii poverkhnostei by
A. D Aleksandrov(
Book
)
2 editions published between 1962 and 1965 in Russian and held by 4 WorldCat member libraries worldwide
2 editions published between 1962 and 1965 in Russian and held by 4 WorldCat member libraries worldwide
Shu xue zhi nei rong fang fa ji yi yi by
Shichao Liu(
Book
)
3 editions published between 1978 and 1991 in Chinese and held by 4 WorldCat member libraries worldwide
3 editions published between 1978 and 1991 in Chinese and held by 4 WorldCat member libraries worldwide
Kreis und Kugel by
Wilhelm Blaschke(
Book
)
3 editions published in 1967 in Russian and held by 4 WorldCat member libraries worldwide
3 editions published in 1967 in Russian and held by 4 WorldCat member libraries worldwide
Geometry. Riemannian geometry(
Book
)
2 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide
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Related Identities
 Burago, I︠U︡. D. (I︠U︡riĭ Dmitrievich) Author Editor
 Aleksandrov, A. D. (Aleksandr Danilovich) 19121999 Author Editor
 Vinberg, E.B. Editor
 Gamkrelidze, R.V. Editor
 Reshetnyak, Yu. G. Editor
 Osserman, R. Editor
 Postnikov, M. M.
 Primrose, Eric J. F.
 Burago, Ju. D. Author
 Kantorovich, L. V. (Leonid Vitalʹevich) 19121986 Author
Useful Links
Associated Subjects
Calculus of variations Convex bodies Curves Curves on surfaces Discrete groups Envelopes (Geometry) Geometry Geometry, Differential Geometry, Riemannian Global analysis (Mathematics) Global differential geometry Isoperimetric inequalities Manufacturing processes Mathematics Maxima and minima Polyhedra Spaces of constant curvature Surfaces Topological groups Work design
Alternative Names
Victor Zalgaller mathématicien russe
Victor Zalgaller RussianIsraeli mathematician
Viktor Zalgaller
Viktor Zalgaller Russisch wiskundige
Wiktor Abramowitsch Salgaller russischer Mathematiker
Zalgaller, V.A.
Zalgaller, Viktor A.
Zalgaller, Viktor A. 1920
Zalgaller, Viktor Abramovič
Zalgaller, Viktor Abramovič 1920
Zalgaller, Viktor Abramovich
Zalgaller, Viktor Abramovich 1920
Zalgallera, V. A. 1920
Залгаллер, В. А
Залгаллер, В. А. (Виктор А.)
Залгаллер, В.А. (Виктор Абрамович)
Залгаллер, Виктор Абрамович.
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