Bolti︠a︡nskiĭ, V. G. (Vladimir Grigorʹevich) 1925
Overview
Works:  143 works in 660 publications in 7 languages and 6,637 library holdings 

Genres:  Textbooks 
Roles:  Author, Editor, Contributor 
Classifications:  QA491, 516.23 
Publication Timeline
.
Most widely held works about
V. G Bolti︠a︡nskiĭ
Most widely held works by
V. G Bolti︠a︡nskiĭ
Convex figures by
I. M I︠A︡glom(
Book
)
29 editions published between 1951 and 1961 in 5 languages and held by 868 WorldCat member libraries worldwide
29 editions published between 1951 and 1961 in 5 languages and held by 868 WorldCat member libraries worldwide
Hilbert's third problem by
V. G Bolti︠a︡nskiĭ(
Book
)
20 editions published between 1977 and 1978 in 4 languages and held by 542 WorldCat member libraries worldwide
20 editions published between 1977 and 1978 in 4 languages and held by 542 WorldCat member libraries worldwide
Results and problems in combinatorial geometry by
V. G Bolti︠a︡nskiĭ(
Book
)
39 editions published between 1965 and 1986 in 6 languages and held by 525 WorldCat member libraries worldwide
39 editions published between 1965 and 1986 in 6 languages and held by 525 WorldCat member libraries worldwide
Equivalent and equidecomposable figures by
V. G Bolti︠a︡nskiĭ(
Book
)
12 editions published in 1963 in 3 languages and held by 495 WorldCat member libraries worldwide
12 editions published in 1963 in 3 languages and held by 495 WorldCat member libraries worldwide
Optimal control of discrete systems by
V. G Bolti︠a︡nskiĭ(
Book
)
38 editions published between 1970 and 1979 in 6 languages and held by 470 WorldCat member libraries worldwide
38 editions published between 1970 and 1979 in 6 languages and held by 470 WorldCat member libraries worldwide
Envelopes by
V. G Bolti︠a︡nskiĭ(
Book
)
21 editions published between 1961 and 1964 in 4 languages and held by 302 WorldCat member libraries worldwide
21 editions published between 1961 and 1964 in 4 languages and held by 302 WorldCat member libraries worldwide
Excursions into combinatorial geometry by
V. G Bolti︠a︡nskiĭ(
Book
)
18 editions published between 1996 and 1997 in English and Undetermined and held by 286 WorldCat member libraries worldwide
The book deals with the combinatorial geometry of convex bodies in finitedimensional spaces. A general introduction to geometric convexity is followed by the investigation of dconvexity and Hconvexity, 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 SzoekefalviNagy 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
18 editions published between 1996 and 1997 in English and Undetermined and held by 286 WorldCat member libraries worldwide
The book deals with the combinatorial geometry of convex bodies in finitedimensional spaces. A general introduction to geometric convexity is followed by the investigation of dconvexity and Hconvexity, 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 SzoekefalviNagy 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
)
11 editions published in 1971 in English and held by 261 WorldCat member 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
11 editions published in 1971 in English and held by 261 WorldCat member 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
)
11 editions published between 1979 and 1980 in English and held by 237 WorldCat member libraries worldwide
11 editions published between 1979 and 1980 in English and held by 237 WorldCat member libraries worldwide
Geometric etudes in combinatorial mathematics by
Alexander Soifer(
Book
)
7 editions published between 1991 and 2010 in English and held by 144 WorldCat member 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
7 editions published between 1991 and 2010 in English and held by 144 WorldCat member 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
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 141 WorldCat member libraries worldwide
6 editions published between 1977 and 1979 in English and held by 141 WorldCat member libraries worldwide
Mathematische Methoden der optimalen Steuerung by
V. G Bolti︠a︡nskiĭ(
Book
)
24 editions published between 1966 and 1972 in 4 languages and held by 140 WorldCat member libraries worldwide
24 editions published between 1966 and 1972 in 4 languages and held by 140 WorldCat member libraries worldwide
The mathematical theory of optimal processes by
L. S Pontri︠a︡gin(
Book
)
12 editions published between 1962 and 1984 in 3 languages and held by 108 WorldCat member libraries worldwide
12 editions published between 1962 and 1984 in 3 languages and held by 108 WorldCat member libraries worldwide
Geometric methods and optimization problems by
V. G Bolti︠a︡nskiĭ(
Book
)
11 editions published between 1999 and 2014 in English and held by 100 WorldCat member libraries worldwide
This book focuses on three disciplines of applied mathematics: control theory, location science and computational geometry. The authors show how methods and tools from convex geometry in a wider sense can help solve various problems from these disciplines. More precisely they consider mainly the tent method (as an application of a generalized separation theory of convex cones) in nonclassical variational calculus, various median problems in Euclidean and other Minkowski spaces (including a detailed discussion of the FermatTorricelli problem) and different types of partitionings of topologically complicated polygonal domains into a minimum number of convex pieces. Figures are used extensively throughout the book and there is also a large collection of exercises. Audience: Graduate students, teachers and researchers
11 editions published between 1999 and 2014 in English and held by 100 WorldCat member libraries worldwide
This book focuses on three disciplines of applied mathematics: control theory, location science and computational geometry. The authors show how methods and tools from convex geometry in a wider sense can help solve various problems from these disciplines. More precisely they consider mainly the tent method (as an application of a generalized separation theory of convex cones) in nonclassical variational calculus, various median problems in Euclidean and other Minkowski spaces (including a detailed discussion of the FermatTorricelli problem) and different types of partitionings of topologically complicated polygonal domains into a minimum number of convex pieces. Figures are used extensively throughout the book and there is also a large collection of exercises. Audience: Graduate students, teachers and researchers
Anschauliche kombinatorische Topologie by
V. G Bolti︠a︡nskiĭ(
Book
)
11 editions published between 1985 and 1986 in German and Undetermined and held by 97 WorldCat member libraries worldwide
11 editions published between 1985 and 1986 in German and Undetermined and held by 97 WorldCat member libraries worldwide
Théorie mathématique des processus optimaux by
L. S Pontri︠a︡gin(
Book
)
6 editions published in 1974 in French and held by 84 WorldCat member libraries worldwide
6 editions published in 1974 in French and held by 84 WorldCat member libraries worldwide
The robust maximum principle : theory and applications by
V. G Bolti︠a︡nskiĭ(
Book
)
20 editions published between 2011 and 2012 in English and held by 79 WorldCat member libraries worldwide
Both refining and extending previous publications by the authors, the material in this¡monograph has been classtested 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}minmax{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 subproblems 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, reinsurancedividend management, multimodel sliding mode control, and multimodel 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 KuhnTucker Theorem as well as the Lagrange Principle for infinitedimensional spaces * A detailed consideration of the minmax linear quadratic (LQ) control problem * The application of obtained results from dynamic programming derivations to multimodel sliding mode control and multimodel differential games * Two examples, dealing with production planning and reinsurancedividend 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 postgraduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control
20 editions published between 2011 and 2012 in English and held by 79 WorldCat member libraries worldwide
Both refining and extending previous publications by the authors, the material in this¡monograph has been classtested 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}minmax{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 subproblems 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, reinsurancedividend management, multimodel sliding mode control, and multimodel 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 KuhnTucker Theorem as well as the Lagrange Principle for infinitedimensional spaces * A detailed consideration of the minmax linear quadratic (LQ) control problem * The application of obtained results from dynamic programming derivations to multimodel sliding mode control and multimodel differential games * Two examples, dealing with production planning and reinsurancedividend 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 postgraduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control
Topologičeskie polupolja by Mikhail Ja Antonovskij(
Book
)
1 edition published in 1960 in Russian and held by 4 WorldCat member libraries worldwide
1 edition published in 1960 in Russian and held by 4 WorldCat member libraries worldwide
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Related Identities
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Associated Subjects
Algebra Algebra, Boolean Algebraic topology Automatic control Calculus, Operational Calculus of variations Collineation Combinatorial analysis Combinatorial geometry Combinatorial topology Control theory Control theoryMathematical models Convex bodies Convex domains Convex geometry Convex surfaces Curves Discrete groups Discretetime systems Dynamics Electronic data processing Engineering mathematics Envelopes (Geometry) Geometry Geometry, Plane Geometry, Solid Hilbert, David, Mathematical optimization Mathematics Maxima and minima Polygons Polyhedra Robust control System theory Tetrahedra Topological algebras Topology Transformations (Mathematics) Vibration
Alternative Names
Boltânskij, V. G.
Boltânskij, Vladimir G.
Boltianski, V.
Boltianski, V. 1925
Boltianski, V.G. 1925
Boltianski, Vladimir Grigorevich
Boltianski, Vladimir Grigorevich 1925
Boltianski, Vladimir Grigorevitch
Boltianski Vladimir Grigorievitch 1925....
Bołtiański, W. G.
Bołtiański, Włodzimierz.
Boltianskii, V. G.
Boltiânskii, Vladimir G.
Boltianskii, Vladimir G. 1925
Boltianskii, Vladimir Grigorevich
Bolti︠a︡nskiǐ, Vladimir Grigorʹevich 1925
Boltjanski, V. 1925
Boltjanski, V.G. 1925
Boltjanski, Vladimir Grigor'evich
Boltjanski, Vladimir Grigor'evitch
Boltjanski, W.G. 1925
Boltjanski, Wladimir G. 1925
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. 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
Boltyanskii V. G.
Boltyanskiǐ, V. G. 1925
Boltyanskii, Vladimir G. 1925
Boltyanskii, Vladimir Grigorʹevich 1925
Boltyansky, V. G.
Boltyansky, V. G. 1925
Boltyansky, Vladimir Grigorevitch
Vladimir Boltjanskij russisk matematikar
Vladimir Boltjanskij russisk matematiker
Vladimir Boltyanski
Vladimir Boltyansky mathématicien russe
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, Владимир Григорьевич
Болтянский, Владимир Григорьевич 1925...
Болтянський Володимир Григорович
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