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 
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 wellmotivated 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 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
)
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 wellknown (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 KleeMinty 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, reinsurancedividend management, multimodel sliding mode control, and multimodel differential games. This book 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
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fewer

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....
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