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

Works: 197 works in 732 publications in 6 languages and 6,836 library holdings
Genres: Textbooks 
Roles: Author, Editor, Contributor, Other
Publication Timeline
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 )
8 editions published in 1961 in English and held by 646 libraries worldwide
Hilbert's third problem by V. G Bolti︠a︡nskiĭ( Book )
23 editions published between 1977 and 1978 in 4 languages and held by 540 libraries worldwide
Equivalent and equidecomposable figures by V. G Bolti︠a︡nskiĭ( Book )
15 editions published between 1956 and 1963 in 3 languages and held by 490 libraries worldwide
Optimal control of discrete systems by V. G Bolti︠a︡nskiĭ( Book )
33 editions published between 1970 and 1979 in 5 languages and held by 397 libraries worldwide
Intuitive combinatorial topology by V. G Bolti︠a︡nskiĭ( Book )
14 editions published between 2001 and 2012 in English and held by 297 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 )
19 editions published between 1996 and 1997 in English and Undetermined and held by 292 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 )
12 editions published in 1971 in English and held by 267 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 )
16 editions published between 1971 and 1980 in English and Russian and held by 248 libraries worldwide
"In contrast to the vast literature on Euclidean geometry as a whole, little has been published on the relatively recent developments in the field of combinatorial geometry. Boltyanskii and Gohberg's book investigates this area, which has undergone particularly rapid growth in the last thirty years. By restricting themselves to two dimensions, the authors make the book uniquely accessible to interested high school students while maintaining a high level of rigor. They discuss a variety of problems on figures of constant width, convex figures, coverings, and illumination. The book offers a thorough exposition of the problem of cutting figures into smaller pieces. The central theorem gives the minimum number of pieces into which a figure can be divided so that all the pieces are of smaller diameter than the original figure. This theorem, which serves as a basis for the rest of the material, is proved for both the Euclidean plane and Minkowski's plane"--Publisher's description
Konvexe Figuren by I. M I︠A︡glom( Book )
13 editions published in 1956 in German and Italian and held by 181 libraries worldwide
Geometric etudes in combinatorial mathematics by Alexander Soifer( Book )
7 editions published between 1991 and 2010 in English and held by 146 libraries worldwide
The etudes presented here are not simply those of Czerny, but are better compared to the etudes of Chopin, not only technically demanding and addressed to a variety of specific skills, but at the same time possessing an exceptional beauty that characterizes the best of art ... Keep this book at hand as you plan your next problem solving seminar. --Don Chakerian THE AMERICAN MATHEMATICAL MONTHLY Alexander Soifer's Geometrical Etudes in Combinatorial Mathematics is concerned with beautiful mathematics, and it will likely occupy a special and permanent place in the mathematical literature, challenging and inspiring both novice and expert readers with surprising and exquisite problems and theorems ... He conveys the joy of discovery as well as anyone, and he has chosen a topic that will stand the test of time. --Cecil Rousseau MEMPHIS STATE UNIVERSITY Each time I looked at Geometrical Etudes in Combinatorial Mathematics I found something that was new and surprising to me, even after more than fifty years working in combinatorial geometry. The new edition has been expanded (and updated where needed), by several new delightful chapters. The careful and gradual introduction of topics and results is equally inviting for beginners and for jaded specialists. I hope that the appeal of the book will attract many young mathematicians to the visually attractive problems that keep you guessing how the questions will be answered in the end. --Branko Grünbaum UNIVERSITY OF WASHINGTON, SEATTLE All of Alexander Soifer's books can be viewed as excellent and artful entrees to mathematics in the MAPS mode ... Different people will have different preferences among them, but here is something that Geometric Etudes does better than the others: after bringing the reader into a topic by posing interesting problems, starting from a completely elementary level, it then goes deep. The depth achieved is most spectacular in Chapter 4, on Combinatorial Geometry, which could be used as part or all of a graduate course on the subject, but it is also pretty impressive in Chapter 3, on graph theory, and in Chapter 2, where the infinite pigeon hole principle (infinitely many pigeons, finitely many holes) is used to prove theorems in an important subset of the set of fundamental theorems of analysis. --Peter D. Johnson, Jr. AUBURN UNIVERSITY This interesting and delightful book ... is written both for mature mathematicians interested in somewhat unconventional geometric problems and especially for talented young students who are interested in working on unsolved problems which can be easily understood by beginners and whose solutions perhaps will not require a great deal of knowledge but may require a great deal of ingenuity ... I recommend this book very warmly. --Paul Erdos
Mathematische Methoden der optimalen Steuerung by V. G Bolti︠a︡nskiĭ( Book )
20 editions published between 1971 and 1972 in German and English and held by 138 libraries worldwide
Topological semifields and their applications to general topology by M. I︠A︡ Antonovskiĭ( Book )
6 editions published between 1977 and 1979 in English and held by 133 libraries worldwide
The mathematical theory of optimal processes by L. S Pontri︠a︡gin( Book )
12 editions published between 1962 and 1984 in English and Undetermined and held by 112 libraries worldwide
"The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature."--Provided by publisher
Geometric methods and optimization problems by V. G Bolti︠a︡nskiĭ( Book )
12 editions published in 1999 in English and held by 105 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 97 libraries worldwide
Sätze und Probleme der kombinatorischen Geometrie by V. G Bolti︠a︡nskiĭ( Book )
13 editions published in 1972 in German and Multiple languages and held by 93 libraries worldwide
Théorie mathématique des processus optimaux by L. S Pontri︠a︡gin( Book )
6 editions published in 1974 in French and held by 83 libraries worldwide
Matematicheskie metody optimalʹnogo upravlenii︠a︡ by V. G Bolti︠a︡nskiĭ( Book )
16 editions published between 1966 and 2013 in 3 languages and held by 79 libraries worldwide
The robust maximum principle : theory and applications by V. G Bolti︠a︡nskiĭ( Book )
22 editions published between 2011 and 2012 in English and held by 63 libraries worldwide
Both refining and extending previous publications by the authors, the material in this¡monograph has been class-tested in mathematical institutions throughout the world. Covering some of the key areas of optimal control theory (OCT){u2014}a rapidly expanding field that has developed to analyze the optimal behavior of a constrained process over time{u2014}the authors use new methods to set out a version of OCT{u2019}s more refined¡{u2018}maximum principle{u2019} designed to solve the problem of constructing optimal control strategies for uncertain systems where some parameters are unknown. Referred to as a {u2018}min-max{u2019} problem, this type of difficulty occurs frequently when dealing with finite uncertain sets. The text begins with a standalone section that reviews classical optimal control theory, ¡covering¡the principal topics of the¡maximum principle and dynamic programming and considering the important sub-problems of linear quadratic optimal control and time optimization. Moving on to examine the tent method in detail, the book then¡presents its core material, which is a more robust maximum principle for both deterministic and stochastic systems.¡The results obtained¡have applications¡in production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games. Key features and topics include: * A version of the tent method in Banach spaces * How to apply the tent method to a generalization of the Kuhn-Tucker Theorem as well as the Lagrange Principle for infinite-dimensional spaces * A detailed consideration of the min-max linear quadratic (LQ) control problem * The application of obtained results from dynamic programming derivations to multi-model sliding mode control and multi-model differential games * Two examples, dealing with production planning and reinsurance-dividend management, that illustrate the use of the robust maximum principle in stochastic systems Using powerful new tools in optimal control theory, The Robust Maximum Principle 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
Topologicheskie polupolia by M. I︠A︡ Antonovskiĭ( Book )
3 editions published in 1960 in Russian and Undetermined and held by 6 libraries worldwide
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Alternative Names
Baltianski, V.
Boltânskij, V. G.
Boltânskij, Vladimir G.
Boltianski, V.
Boltianski, V. 1925-
Boltianski, V. G.
Boltianski, V.G. 1925-
Boltianski, Vladimir G.
Boltianski, Vladimir Grigorevich
Boltianski, Vladimir Grigorevich 1925-
Boltianski, Vladimir Grigorevitch
Boltianski Vladimir Grigorievitch
Boltianski Vladimir Grigorievitch 1925-....
Bołtiański, W. G.
Bołtiański, Włodzimierz.
Boltianskiĭ, V. G.
Boltiânskii, Vladimir G.
Boltianskii, Vladimir G. 1925-
Bolti︠a︡nskiĭ, Vladimir Grigorʹevich
Bolti︠a︡nskiǐ, Vladimir Grigorʹevich 1925-
Boltiansky, V.
Boltjanski, V. 1925-
Boltjanski, V.G. 1925-
Boltjanski, Vladimir Grigor'evich
Boltjanski, Vladimir Grigor'evitch
Boltjanski, W. G.
Boltjanski, W.G. 1925-
Boltjanski, Wladimir G. 1925-
Boltjanski, Wladimir Grigorjewitsch, 1925-
Boltjanskiĭ, V. G.
Boltjanskiǐ, V. G. 1925-
Boltjanskij, V. G.
Boltjanskij, V.G. 1925-
Boltjanskij Vladimir G.
Boltjanskij, Vladimir Gigor'jevič 1925-
Boltjanskij, Vladimir Grigor'evič
Boltjanskij, Vladimir Grigorʹevič 1925-
Boltjanskij, Vladimir Grigor'evič. [t]
Boltjanskij, Vladimir Grigorevich
Boltjanskij, Vladimir Grigorevitch
Boltjanskis, V. 1925-
Boltjanskis, V. (Vladimirs), 1925-
Boltjansky, V. G.
Boltjansky, V.G. 1925-
Boltjansky, Vladimir G. 1925-
Boltjansky, Vladimir Grigor'evič
Boltyanski, V. 1925-
Boltyanski, V. G.
Boltyanski, V. (Vladimir), 1925-
Boltyanski, Vladimir.
Boltyanski, Vladimir 1925-
Boltyanski, Vladimir G.
Boltyanski, Vladimir G. 1925-
Boltyanski, Vladimir Grigorevic
Boltyanski, Vladimir Grigorevich
Boltyanski, Y. G. 1925-
Boltyanskiĭ, V. 1925-
Boltyanskiĭ, V. G.
Boltyanskiǐ, V. G. 1925-
Boltyanskii, Vladimir G. 1925-
Boltyanskiĭ, Vladimir Grigor'evich.
Boltyanskii, Vladimir Grigorʹevich 1925-
Boltyansky, V.
Boltyansky, V. G.
Boltyansky, V. G. 1925-
Boltyansky, Vladimir Grigorevitch
Vladimir Boltjanskij russisk matematikar
Vladimir Boltjanskij russisk matematiker
Vladimir Boltyanski
Vladimir Boltyansky matemático ruso
Vladimir Boltyansky mathématicien russe
Vladimir Boltyansky Russian mathematician
Vladimir Boltyansky Russian mathematician who made contributions to optimal control theory, combinatorics, and geometry
Vladimir Boltyansky Russisch wiskundige
Vladimir Grigor'evič Boltjanskij matematico russo
Wladimir Grigorjewitsch Boltjanski russischer Mathematiker
Болтянский, В. Г.
Болтянский, Владимир Г.
Болтянский, Владимир Григорьевич
Болтянский, Владимир Григорьевич 1925-...
Болтянський Володимир Григорович
ボルチャンスキー, V. G.
ボルチャンスキー, ヴェ・ゲ
ボルチャンスキー, ウラジミル
English (158)
German (50)
Russian (38)
French (16)
Multiple languages (3)
Italian (2)
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