{"title":"R V Gamkrelidze","description":null,"products":[{"product_id":"progress-in-mathematics-book-r-v-gamkrelidze-9781468433111","title":"Progress in Mathematics","description":"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 PROGRAMING V. V. Kolbin Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. The Geometry of Stochastic Linear Programming Problems. . . . . . . . . . . . . . . . . . . . 5 2. Chance-Constrained Problems . . . . . . . . . 8 3. Rigorous Statement of stochastic Linear Programming Problems . . . . . . . . . . 16 4. Game-Theoretic Statement of Stochastic Linear Programming Problems. . . . . . . . 18 5. Nonrigorous Statement of SLP Problems . . . 19 6. Existence of Domains of Stability of the Solutions of SLP Problems . . . . . . . . . 29 7. Stability of a Solution in the Mean. . . . . . . . . . . . 30 8. Dual Stochastic Linear Programming Problems. . . 37 9. Some Algorithms for the Solution of Stochastic Linear Programming Problems . . . . . . . . . . 40 10. Stochastic Nonlinear Programming: Some First Results . . . . . . . . . . . . . . . . . . . . . . 42 11. The Two-Stage SNLP Problem. . . . . . . . . . . . 47 12. Optimality and Existence of a Plan in Stochastic Nonlinear Programming Problems. 58 Literature Cited . . . . . . . . . . . . . . . . . . . . . . . . . . .","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52089020088593,"sku":"NLS9781468433111","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781468433111.jpg?v=1756905311"},{"product_id":"progress-in-mathematics-book-r-v-gamkrelidze-9781468433081","title":"Progress in Mathematics","description":"This volume contains five review articles, two in the Algebra part and three in the Geometry part, surveying the fields of cate- gories and class field theory, in the Algebra part, and of Finsler spaces, structures on differentiable manifolds, and packing, cover- ing, etc., in the Geometry part. The literature covered is primar- Hy that published in 1964-1967. Contents ALGEBRA CATEGORIES . . 3 M. S. Tsalenko and E. G. Shul'geifer 1. Introduction. 3 2. Foundations of the Theory of Categories . . . . . 4 3. Fundamentals of the Theory of Categories . . . . . 6 4. Embeddings of Categories . . . . . . . . . . . . . 14 5. Representations of Categories . . . . . . . . . . . . . 16 6. Axiomatic Characteristics of Algebraic Categories . . . . . . . . . . . . . . . . . . . . . . . . . . 18 7. Reflective Subcategories; Varieties. . . 20 8. Radicals in Categories . . . . . . . 24 9. Categories with Involution. . . . . . 29 10. Universal Algebras in Categories . 30 11. Categories with Multiplication . . . 34 12. Duality of Functors. . . 37 13. Homotopy Theory . . . . . . 39 14. Homological Algebra in Categories. . . . . . 41 15. Concrete Categories . . . . . . 44 16. Generalizations. . . . . . . 45 Literature Cited . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 CLAS FIELD THEORY. FIELD EXTENSIONS. . . . . . . . 59 S. P. Demushkin 66 Literature Cited vii CONTENTS viii GEOMETRY 75 FINSLER SPACES AND THEIR GENERALIZATIONS .","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52134983860497,"sku":"NLS9781468433081","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781468433081.jpg?v=1757546382"},{"product_id":"probability-theory-mathematical-statistics-and-theoretical-cybernetics-book-r-v-gamkrelidze-9781468480818","title":"Probability Theory, Mathematical Statistics, and Theoretical Cybernetics","description":". 70 . 4. Elimination of Inadmissible M-Races . . . . . . . . . .. . . 73 . 5. Elimination of Inadmissible L-Races . . . . . . . . . .. . . 86 .","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52337629069585,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52337629888785,"sku":"NLS9781468480818","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781468480818.jpg?v=1758167250"},{"product_id":"algebra-and-geometry-book-r-v-gamkrelidze-9781475705096","title":"Algebra and Geometry","description":"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 1. Associative Rings. . . . . . . . . . . . . . . . . . . . 3 2. Lie Algebras and Their Generalizations. . . . . . . 13 3. Alternative and Jordan Rings. . . . . . . . . . . . . . . . 18 Bibliography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 MODULES A. V. Mikhalev and L. A. Skornyakov 1. Radicals. . . . . . . . . . . . . . . . . . . 59 2. Projection, Injection, etc. . . . . . . . . . . . . . . . . . . 62 3. Homological Classification of Rings. . . . . . . . . . . . 66 4. Quasi-Frobenius Rings and Their Generalizations. . 71 5. Some Aspects of Homological Algebra . . . . . . . . . . 75 6. Endomorphism Rings . . . . . . . . . . . . . . . . . . . . . 83 7. Other Aspects. . . . . . . . . . . . . . . . . . . 87 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ., 91 LATICE THEORY M. M. Glukhov, 1. V. Stelletskii, and T. S. Fofanova 1. Boolean Algebras . . . . . . . . . . . . . . . . . . . . .  111 2. Identity and Defining Relations in Lattices . . . . . . 120 3. Distributive Lattices. . . . . . . . . . . . . . . . . . . . . 122 vii viii CONTENTS 4. Geometrical Aspects and the Related Investigations. . . . . . . . . . . . - . . - . . . . . . . . . - 125 5. Homological Aspects. . . . . . . . . . . . . . . . . . . . . . 129 6. Lattices of Congruences and of Ideals of a Lattice . . 133 7. Lattices of Subsets, of Subalgebras, etc. . . . . . . . . 134 8. Closure Operators . . . . . . . . . . . . . . . . . . . . . . . 136 9. Topological Aspects. . . . . . . . . . . . . . . . . . . . . . 137 10. Partially-Ordered Sets. . . . . . . . . . . . . . . . . . . . 141 11. Other Questions. . . . . . . . . . . . . . . . . . . . . . . . . 146 Bibliography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 GEOMETRY INTEGRAL GEOMETRY G. 1. Drinfel'd Preface . . . . . . . . .","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52339375046929,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52339375472913,"sku":"NLS9781475705096","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781475705096.jpg?v=1758169667"},{"product_id":"mathematical-analysis-book-r-v-gamkrelidze-9781475715910","title":"Mathematical Analysis","description":"The present book contains three articles: Systems of Linear Differential Equations, by V. P. Palamodov; Fredholm Operators and Their Generalizations, by S. N. Krachkovskii and A. S. Di- kanskii; and Representations of Groups and Algebras in Spaces with an Indefinite Metric by M. A. Naimark and R. S. Ismagilov. In the fi.rst article the accent is on those characteristics of systems of differential equations which distinguish the systems from the scalar case. Considerable space is devoted in particular to nonquadratic systems, a topic that has very recently stimulated interest. The second article is devoted to the algebraic aspects of the theory of operators (determinant theory in particular) in Banach and linear topological spaces. The third article reflects the present state of the art in the given area of the theory of representations, which has been re- ceiving considerable attention in connection with its applications in physics (particularly in quantum field theory) and in the theory of differential equations.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52407962009873,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52407962566929,"sku":"NLS9781475715910","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9781475715910.jpg?v=1758773636"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-r-v-gamkrelidze.oembed","provider":"World of Books ","version":"1.0","type":"link"}