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Bolti︠a︡nskiĭ, V. G. (Vladimir Grigorʹevich) 1925-

Overview
Works: 197 works in 627 publications in 6 languages and 6,491 library holdings
Genres: Textbooks 
Roles: Author, Editor, Contributor
Classifications: QA491, 516.23
Publication Timeline
Key
Publications about V. G Bolti︠a︡nskiĭ
Publications by V. G Bolti︠a︡nskiĭ
Most widely held works about V. G Bolti︠a︡nskiĭ
 
Most widely held works by V. G Bolti︠a︡nskiĭ
Convex figures by I. M I︠A︡glom( Book )
2 editions published in 1961 in English and held by 648 libraries worldwide
Hilbert's third problem by V. G Bolti︠a︡nskiĭ( Book )
19 editions published between 1977 and 1978 in 4 languages and held by 545 libraries worldwide
Equivalent and equidecomposable figures by V. G Bolti︠a︡nskiĭ( Book )
8 editions published in 1963 in 3 languages and held by 493 libraries worldwide
Optimal control of discrete systems by V. G Bolti︠a︡nskiĭ( Book )
31 editions published between 1973 and 1979 in 6 languages and held by 468 libraries worldwide
Results and problems in combinatorial geometry by V. G Bolti︠a︡nskiĭ( Book )
9 editions published between 1985 and 1986 in English and held by 382 libraries worldwide
Envelopes by V. G Bolti︠a︡nskiĭ( Book )
19 editions published between 1961 and 1968 in 3 languages and held by 301 libraries worldwide
Intuitive combinatorial topology by V. G Bolti︠a︡nskiĭ( Book )
10 editions published in 2001 in English and held by 288 libraries worldwide
"Topology is a relatively young and very important branch of mathematics. It studies properties of objects that are preserved by deformations, twistings, and stretchings, but not tearing. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. There is hardly an area of mathematics that does not make use of topological results and concepts. The importance of topological methods for different areas of physics is also beyond doubt. They are used in field theory and general relativity, in the physics of low temperatures, and in modern quantum theory. The book is well suited not only as preparation for students who plan to take a course in algebraic topology but also for advanced undergraduates or beginning graduates interested in finding out what topology is all about. The book has more than 200 problems, many examples, and over 200 illustrations."--Jacket
Excursions into combinatorial geometry by V. G Bolti︠a︡nskiĭ( Book )
16 editions published between 1996 and 1997 in English and Undetermined and held by 281 libraries worldwide
The book deals with the combinatorial geometry of convex bodies in finite-dimensional spaces. A general introduction to geometric convexity is followed by the investigation of d-convexity and H-convexity, and by various applications. Recent research is discussed, for example the three problems from the combinatorial geometry of convex bodies (unsolved in the general case): the Szoekefalvi-Nagy problem, the Borsuk problem, the Hadwiger covering problem. These and related questions are then applied to a new class of convex bodies which is a natural generalization of the class of zonoids: the class of belt bodies. Finally open research problems are discussed. Each section is supplemented by a wide range of exercises and the geometric approach to many topics is illustrated with the help of more than 250 figures
Mathematical methods of optimal control by V. G Bolti︠a︡nskiĭ( Book )
10 editions published in 1971 in English and held by 258 libraries worldwide
"It should be clearly stated at the outset that the reader will not find in this book any specific techniques for construction and operation of control systems. Rather, we consider the application of mathematical methods to the calculation of optimal controls. Mathematics does not deal with a real object, but instead, treat mathematical models thereof. The mathematical model of a controlled object is defined at the very beginning of this book. The task in practice is to decide whether the real object of interest can be "matched" to the mathematical framework considered here and to carry out those simplifications and idealizations which are deemed to be admissible. If the object falls into the mathematical framework considered here, then one can attempt to use the theory presented in this book."--Preface
The decomposition of figures into smaller parts by V. G Bolti︠a︡nskiĭ( Book )
9 editions published between 1979 and 1980 in English and held by 236 libraries worldwide
Konvexe Figuren by I. M I︠A︡glom( Book )
22 editions published between 1951 and 1956 in 5 languages and held by 200 libraries worldwide
Topological semifields and their applications to general topology by M. I︠A︡ Antonovskiĭ( Book )
9 editions published between 1963 and 1979 in English and Russian and held by 150 libraries worldwide
Geometric etudes in combinatorial mathematics by V. G Bolti︠a︡nskiĭ( Book )
5 editions published in 1991 in English and held by 147 libraries worldwide
Mathematische Methoden der optimalen Steuerung by V. G Bolti︠a︡nskiĭ( Book )
18 editions published between 1971 and 1972 in German and English and held by 121 libraries worldwide
The mathematical theory of optimal processes by L. S Pontri︠a︡gin( Book )
11 editions published between 1962 and 1984 in English and Undetermined and held by 107 libraries worldwide
Geometric methods and optimization problems by V. G Bolti︠a︡nskiĭ( Book )
11 editions published between 1999 and 2014 in English and held by 99 libraries worldwide
VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob vious and well-known (examples are the much discussed interplay between lin ear algebra and analytical geometry and several problems in multidimensional analysis). On the other hand, many specialists from applied mathematics seem to prefer more formal analytical and numerical methods and representations. Nevertheless, very often the internal development of disciplines from applied mathematics led to geometric models, and occasionally breakthroughs were b~ed on geometric insights. An excellent example is the Klee-Minty cube, solving a problem of linear programming by transforming it into a geomet ric problem. Also the development of convex programming in recent decades demonstrated the power of methods that evolved within the field of convex geometry. The present book focuses on three applied disciplines: control theory, location science and computational geometry. It is our aim to demonstrate how methods and topics from convex geometry in a wider sense (separation theory of convex cones, Minkowski geometry, convex partitionings, etc.) can help to solve various problems from these disciplines
Anschauliche kombinatorische Topologie by V. G Bolti︠a︡nskiĭ( Book )
11 editions published between 1985 and 1986 in German and Undetermined and held by 95 libraries worldwide
Sätze und Probleme der kombinatorischen Geometrie by V. G Bolti︠a︡nskiĭ( Book )
12 editions published in 1972 in German and Multiple languages and held by 90 libraries worldwide
Théorie mathématique des processus optimaux by L. S Pontri︠a︡gin( Book )
7 editions published in 1974 in French and held by 81 libraries worldwide
The robust maximum principle : theory and applications by V. G Bolti︠a︡nskiĭ( Book )
18 editions published between 2011 and 2012 in English and held by 72 libraries worldwide
Covering some of the key areas of optimal control theory (OCT), a rapidly expanding field, the authors use new methods to set out a version of OCT's more refined 'maximum principle.' The results obtained have applications in production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games. This book explores material that will be of great interest to post-graduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control
 
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Alternative Names
Boltânskij, V. G.
Boltânskij, Vladimir G.
Boltianski, V.
Boltianski, V., 1925-
Boltianski, Vladimir Grigorevich
Boltianski, Vladimir Grigorevitch
Bołtiański, W. G.
Bołtiański, Włodzimierz.
Boltianskii, V. G.
Boltiânskii, Vladimir G.
Boltianskii, Vladimir Grigorevich
Bolti︠a︡nskiǐ, Vladimir Grigorʹevich, 1925-
Boltjanski, Vladimir Grigor'evich
Boltjanski, Vladimir Grigor'evitch
Boltjanski, W.G., 1925-
Boltjanskiǐ, V. G., 1925-
Boltjanskij, V. G.
Boltjanskij, Vladimir G.
Boltjanskij, Vladimir Gigor'jevič, 1925-
Boltjanskij, Vladimir Grigor'evič
Boltjanskij, Vladimir Grigor'evič. [t]
Boltjanskij, Vladimir Grigorevich
Boltjanskij, Vladimir Grigorevitch
Boltjanskis, V. (Vladimirs), 1925-
Boltjansky, V. G., 1925-
Boltjansky, Vladimir Grigor'evič
Boltyanski, V. G.
Boltyanski, V. (Vladimir), 1925-
Boltyanski, Vladimir.
Boltyanski, Vladimir, 1925-
Boltyanski, Vladimir G.
Boltyanski, Vladimir Grigorevich
Boltyanski, Y. G., 1925-
Boltyanskii, V. G.
Boltyanskiǐ, V. G., 1925-
Boltyanskii, Vladimir Grigorʹevich, 1925-
Boltyansky, V. G.
Boltyansky, V. G., 1925-
Boltyansky, Vladimir Grigorevitch
Vladimir Boltyanski
Vladimir Boltyansky mathématicien russe
Vladimir Boltyansky Russian mathematician who made contributions to optimal control theory, combinatorics, and geometry
Vladimir Grigor'evič Boltjanskij matematico russo
Wladimir Grigorjewitsch Boltjanski russischer Mathematiker
Болтянский, Владимир Григорьевич.
Болтянский, Владимир Григорьевич, 1925-....
Languages
English (144)
German (54)
Russian (28)
French (15)
Multiple languages (4)
Italian (2)
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