WorldCat Identities

Gamkrelidze, R. V.

Overview
Works: 481 works in 881 publications in 5 languages and 5,540 library holdings
Roles: Author, Editor, Translator, Other, Contributor, edi, Honoree, Adapter
Classifications: QA432, 517
Publication Timeline
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Most widely held works by R. V Gamkrelidze
Principles of optimal control theory by R. V Gamkrelidze( Book )

21 editions published between 1975 and 2014 in 3 languages and held by 485 WorldCat member libraries worldwide

Formulation of the time-optimal problem and maximum principle; Generalized controls; The approximation lemma; The existance and continuous dependence theorem for solutions of differential equations; The variation formula for solution of differential equations; The varying of trajectories in convex control problems; Proof of the maximum principle; The existence of optimal solutions
Progress in mathematics( )

in English and held by 403 WorldCat member libraries worldwide

Geometry I : basic ideas and concepts of differential geometry by Dmitriĭ Vladimirovich Alekseevskiĭ( Book )

14 editions published between 1988 and 1991 in English and Undetermined and held by 388 WorldCat member libraries worldwide

Analysis( Book )

in English and held by 314 WorldCat member libraries worldwide

Mathematical analysis by R. V Gamkrelidze( Book )

12 editions published between 1968 and 2013 in English and Italian and held by 185 WorldCat member libraries worldwide

Some questions in the theory of oscillations and the theory of optimal control : collection of papers( Book )

7 editions published between 1991 and 1993 in English and Russian and held by 163 WorldCat member libraries worldwide

Analysis I : integral representations and asymptotic methods by R. V Gamkrelidze( Book )

9 editions published between 1986 and 1989 in English and held by 160 WorldCat member libraries worldwide

The major achievements of mathematical analysis from Newton and Euler to modern applications of mathematics in physical sciences, engineering and other areas are presented in this volume. Its three parts cover the methods of analysis: representation methods, asymptotic methods and transform methods. The authors - the well-known analysts M.A. Evgrafov and M.V. Fedoryuk - have not simply presented a compendium of techniques but have stressed throughout the underlying unity of the various methods. The fundamental ideas are clearly presented and illustrated with interesting and non-trivial examples. References, together with guides to the literature, are provided for those readers who wish to go further
Algebra and geometry by R. V Gamkrelidze( Book )

12 editions published between 1969 and 1972 in English and held by 133 WorldCat member libraries worldwide

This volume contains five review articles, three in the Al gebra part and two in the Geometry part, surveying the fields of ring theory, modules, and lattice theory in the former, and those of integral geometry and differential-geometric methods in the calculus of variations in the latter. The literature covered is primarily that published in 1965-1968. v CONTENTS ALGEBRA RING THEORY L.A. Bokut', K.A. Zhevlakov, and E.N. Kuz'min {sect} 1. Associative Rings. ... 3 {sect} 2. Lie Algebras and Their Generalizations. ... 13 ~ 3. Alternative and Jordan Rings. ... 18 Bibliography. ... ... 25 MODULES A.V. Mikhalev and L.A. Skornyakov {sect} 1. Radicals. ... 59 {sect} 2. Projection, Injection, etc. ... 62 {sect} 3. Homological Classification of Rings. ... 66 {sect} 4. Quasi-Frobenius Rings and Their Generalizations. . 71 {sect} 5. Some Aspects of Homological Algebra ... 75 {sect} 6. Endomorphism Rings ... 83 {sect} 7. Other Aspects. ... 87 Bibliography ... ..., 91 LATTICE THEORY M.M. Glukhov, 1. V. Stelletskii, and T.S. Fofanova {sect} 1. Boolean Algebras ..." 111 {sect} 2. Identity and Defining Relations in Lattices ... 120 {sect} 3. Distributive Lattices. ... . 122 vii viii CONTENTS {sect} 4. Geometrical Aspects and the Related Investigations. ... - . . - ... - 125 {sect} 5. Homological Aspects. ... 129 {sect} 6. Lattices of Congruences and of Ideals of a Lattice . . 133 {sect} 7. Lattices of Subsets, of Subalgebras, etc. ... 134 {sect} 8. Closure Operators ... . 136 {sect} 9. Topological Aspects. ... 137 {sect} 10. Partially-Ordered Sets. ... 141 {sect} 11. Other Questions. ... 146 Bibliography. ... ... 148 GEOMETRY INTEGRAL GEOMETRY G. 1. Drinfel'd Preface
Probability theory, mathematical statistics, and theoretical cybernetics by R. V Gamkrelidze( Book )

18 editions published between 1969 and 1972 in English and held by 128 WorldCat member libraries worldwide

The mathematical theory of optimal processes by L. S Pontri︠a︡gin( Book )

12 editions published between 1962 and 2018 in English and held by 121 WorldCat member libraries worldwide

Analysis II : convex analysis and approximation theory by V. M Tikhomirov( Book )

15 editions published in 1990 in English and held by 112 WorldCat member libraries worldwide

Topological groups by L. S Pontri︠a︡gin( Book )

7 editions published between 1986 and 1988 in English and Russian and held by 109 WorldCat member libraries worldwide

Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group
Théorie mathématique des processus optimaux by L. S Pontri︠a︡gin( Book )

6 editions published in 1974 in French and held by 81 WorldCat member libraries worldwide

Progress in mathematics by R. V Gamkrelidze( )

4 editions published between 1969 and 1971 in English and held by 77 WorldCat member libraries worldwide

This volume contains two review articles: "Stochastic Pro gramming" by Vo V. Kolbin, and "Application of Queueing-Theoretic Methods in Operations Research, " by N. Po Buslenko and A.P. Cherenkovo The first article covers almost all aspects of stochastic programming. Many of the results presented in it have not pre viously been surveyed in the Soviet literature and are of interest to both mathematicians and economists. The second article com prises an exhaustive treatise on the present state of the art of the statistical methods of queueing theory and the statistical modeling of queueing systems as applied to the analysis of complex systems. Contents STOCHASTIC PROGRAMMING V.V. Kolbin Introduction ... ... 1 {sect} 1. The Geometry of Stochastic Linear Programming Problems. ... 5 {sect} 2. Chance-Constrained Problems ... 8 {sect} 3. Rigorous Statement of stochastic Linear Programming Problems ... 16 {sect} 4. Game-Theoretic Statement of Stochastic Linear Programming Problems. ... 18 {sect} 5. Nonrigorous Statement of SLP Problems ... 19 {sect} 6. Existence of Domains of Stability of the Solutions of SLP Problems ... 29 {sect} 7. Stability of a Solution in the Mean. ... 30 {sect} 8. Dual Stochastic Linear Programming Problems. . . 37 {sect} 9. Some Algorithms for the Solution of Stochastic Linear Programming Problems ... 40 {sect} 10. Stochastic Nonlinear Programming: Some First Results ... 42 {sect} 11. The Two-Stage SNLP Problem. ... 47 {sect} 12. Optimality and Existence of a Plan in Stochastic Nonlinear Programming Problems. 58 Literature Cited ...
Optimal control, differential equations, and smooth optimization : collected papers in honor of seventieth birthday of corresponding member of the Russian Academy of Sciences Revaz Valerianovich Gamkrelidze by Matematicheskiĭ institut im. V.A. Steklova( Book )

5 editions published in 1998 in English and held by 72 WorldCat member libraries worldwide

Algebra VI : combinatorial and asymptotic methods of algebra : non-associative structures( Book )

1 edition published in 1995 in English and held by 70 WorldCat member libraries worldwide

"This book contains two contributions: "Combinatorial and Asymptotic Methods in Algebra" by V. A. Ufnarovskij is a survey of various combinatorial methods in infinite-dimensional algebras, widely interpreted to contain homological algebra and vigorously developing computer algebra, and narrowly interpreted as the study of algebraic objects defined by generators and their relations. The author shows how objects like words, graphs and automata provide valuable information in asymptotic studies. The main methods emply the notions of Grobner bases, generating functions, growth and those of homological algebra. Treated are also problems of relationships between different series, such as Hilbert, Poincare and Poincare-Betti series. Hyperbolic and quantum groups are also discussed. The reader does not need much of background material for he can find definitions and simple properties of the defined notions introduced along the way." ""Non-Associative Structures" by E. N. Kuz'min and I. P. Shestakov surveys the modern state of the theory of non-associative structures that are nearly associative. Jordan, alternative, Malcev, and quasigroup algebras are discussed as well as applications of these structures in various areas of mathematics and primarily their relationship with the associative algebras. Quasigroups and loops are treated too. The survey is self-contained and complete with references to proofs in the literature." "The book will be of great interest to graduate students and researchers in mathematics, computer science and theoretical physics."--BOOK JACKET
Lie groups and Lie algebras III : structure of Lie groups and Lie algebras by A. L Onishchik( Book )

1 edition published in 1994 in English and held by 70 WorldCat member libraries worldwide

Progress in mathematics : algebra and geometry by R. V Gamkrelidze( )

2 editions published in 1971 in English and held by 69 WorldCat member libraries worldwide

This volume contains five review articles, two in the Algebra part and three in the Geometry part, surveying the fields of cateƯ gories and class field theory, in the Algebra part, and of Finsler spaces, structures on differentiable manifolds, and packing, coverƯ ing, etc., in the Geometry part. The literature covered is primarƯ Hy that published in 1964-1967. Contents ALGEBRA CATEGORIES ... 3 M.S. Tsalenko and E.G. Shul'geifer ʹ 1. Introduction ... 3 ʹ 2. Foundations of the Theory of Categories ... 4 ʹ 3. Fundamentals of the Theory of Categories ... 6 ʹ 4. Embeddings of Categories ... ... 14 ʹ 5. Representations of Categories ... . 16 ʹ 6. Axiomatic Characteristics of Algebraic Categories ... ... . . 18 ʹ 7. Reflective Subcategories; Varieties. . . 20 ʹ 8. Radicals in Categories ... 24 ʹ 9. Categories with Involution. ... 29 ʹ 10. Universal Algebras in Categories . 30 ʹ 11. Categories with Multiplication ... 34 ʹ 12. Duality of Functors. .. ... 37 ʹ 13. Homotopy Theory ... ... 39 ʹ 14. Homological Algebra in Categories. ... 41 ʹ 15. Concrete Categories ... ... 44 ʹ 16. Generalizations.. ... 45 Literature Cited ... ... ... 47 CLASS FIELD THEORY. FIELD EXTENSIONS. ... 59 S.P. Demushkin 66 Literature Cited vii CONTENTS viii GEOMETRY 75 FINSLER SPACES AND THEIR GENERALIZATIONS
Analysis II : Convex Analysis and Approximation Theory by R. V Gamkrelidze( )

1 edition published in 1990 in English and held by 67 WorldCat member libraries worldwide

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development
Probability theory, mathematical statistics, and theoretical cybernetics by R. V Gamkrelidze( )

3 editions published in 1972 in English and held by 67 WorldCat member libraries worldwide

This work is a continuation of earlier volumes under the heading "Probability Theory, Mathematical Statistics, and Theo retical Cybernetics," published as part of the "Itogi Nauki" series. The present volume comprises a single review article, en titled "Reliability of Discrete Systems," covering material pub lished mainly in the last six to eight years and abstracted in "Referativnyi Zhurnal-Matematika" (Soviet Abstract Journal in Mathematics). The bibliography encompasses 313 items. The editors welcome inquiries regarding the present volume or the format and content of future volumes of the series; corre spondence should be sent to the following address: Otdel Matemat ika (Mathematics Section), Baltiiskaya ul., 14, Moscow, A-219. v Contents RELIABILITY OF DISCRETE SYSTEMS M.A. Gavrilov, V.M. Ostianu, and A.I. Potekhin Introduction ... - ... - ... 1 ... CHAPTER 1. Assurance of Infallibility in Discrete Systems ... ... 5 1. State of the Art .- ... - ... 5 2. Basic Definitions, Concepts, and Problem Formulations.. 6 3. Redundancy Models. ... -. . . 10 . - . . 4. Composition Methods ... 17 5. Majority Methods ... -. . . 27 ... 6. Methods Using the Interweaving Model. ... . . 35 7. Methods Using Effective-Coding Models. ... . 38 CHAPTER II. Assurance of Stability in Discrete System s. ... .. . . 63 ... 1. Basic Concepts and Definitions ... . 63 . . 2. Elimination of Inadmissible I-Races. ... 69 . 3. Elimination of Inadmissible E-Races ... 70 . 4. Elimination of Inadmissible M-Races ... 73 . 5. Elimination of Inadmissible L-Races ... 86
 
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Analysis Analysis I : integral representations and asymptotic methods Analysis II : convex analysis and approximation theory
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AnalysisAnalysis I : integral representations and asymptotic methodsAnalysis II : convex analysis and approximation theoryTopological groupsAlgebra VI : combinatorial and asymptotic methods of algebra : non-associative structuresLie groups and Lie algebras III : structure of Lie groups and Lie algebras
Alternative Names
Gamkrélidzé, R.

Gamkrelidze, R.V.

Gamkrelidz̆e, R. V. 1927-

Gamkrelidze, Revaz V.

Gamkrelidz̆e, Revaz Valeriancovic 1927-

Gamkrelidze, Revaz Valerianovich

Gamkrelidze, Revaz Valerianovich 1927-...

Gamkrelidz̆e, Revaz Valerionovič 1927-

Gamqreliże, R. V.

Revaz Gamkrelidze Georgian mathematician

Revaz Gamkrelidze georgisk matematikar

Revaz Gamkrelidze georgisk matematiker

Revaz Gamkrelidze matemático georgiano

Revaz Gamkrelidze matemáticu rusu

Revaz Gamkrelidze Mathematician

Revaz Gamkrelidze mathématicien géorgien

Revaz Gamkrelidze Russisch wiskundige

Rewas Gamqrelidse georgischer Mathematiker

Ρεβάζ Γκαμκρελίντζε

Гамкрелидзе, П. В..

Гамкрелидзе Р.В.

Гамкрелидзе Р. В. 1927-

Гамкрелидзе, Реваз Валерианович.

Гамкрелідзе Реваз Валеріанович

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