Bolti︠a︡nskiĭ, V. G. (Vladimir Grigorʹevich) 1925
Overview
Works: 
179
works in
454
publications in
5
languages and
5,869
library holdings

Genres: 
Textbooks

Roles: 
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
)
7
editions published
between
1951
and
1961
in
English
and held by
669
libraries
worldwide
Hilbert's third problem by V. G Bolti︠a︡nskiĭ (
Book
)
10
editions published
in
1978
in
3
languages
and held by
514
libraries
worldwide
Equivalent and equidecomposable figures by V. G Bolti︠a︡nskiĭ (
Book
)
5
editions published
in
1963
in
English
and held by
492
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
404
libraries
worldwide
The robust maximum principle theory and applications by V. G Bolti︠a︡nskiĭ (
file
)
15
editions published
between
2011
and
2012
in
English
and held by
359
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
Intuitive combinatorial topology by V. G Bolti︠a︡nskiĭ (
Book
)
9
editions published
in
2001
in
English
and held by
286
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."BOOK JACKET
Optimal control of discrete systems by V. G Bolti︠a︡nskiĭ (
Book
)
6
editions published
between
1978
and
1979
in
English
and held by
276
libraries
worldwide
Envelopes by V. G Bolti︠a︡nskiĭ (
Book
)
9
editions published
between
1964
and
1968
in
English and Multiple languages
and held by
271
libraries
worldwide
Mathematical methods of optimal control by V. G Bolti︠a︡nskiĭ (
Book
)
6
editions published
in
1971
in
English
and held by
250
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
)
8
editions published
between
1979
and
1980
in
English
and held by
236
libraries
worldwide
Excursions into combinatorial geometry by V. G Bolti︠a︡nskiĭ (
Book
)
11
editions published
between
1996
and
1997
in
English and Undetermined
and held by
234
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
Geometric etudes in combinatorial mathematics by V. G Bolti︠a︡nskiĭ (
Book
)
3
editions published
in
1991
in
English
and held by
137
libraries
worldwide
Topological semifields and their applications to general topology by M. I︠A︡ Antonovskiĭ (
Book
)
5
editions published
between
1977
and
1979
in
English
and held by
136
libraries
worldwide
Konvexe Figuren by I. M I︠A︡glom (
Book
)
6
editions published
in
1956
in
German
and held by
112
libraries
worldwide
Geometric methods and optimization problems by V. G Bolti︠a︡nskiĭ (
Book
)
8
editions published
between
1999
and
2014
in
English
and held by
108
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
Mathematische Methoden der optimalen Steuerung by V. G Bolti︠a︡nskiĭ (
Book
)
11
editions published
between
1971
and
1972
in
German
and held by
108
libraries
worldwide
The mathematical theory of optimal processes by L. S Pontri︠a︡gin (
Book
)
9
editions published
between
1962
and
1984
in
English and Undetermined
and held by
97
libraries
worldwide
Matematicheskie metody optimalʹnogo upravlenii︠a︡ by V. G Bolti︠a︡nskiĭ (
Book
)
10
editions published
between
1966
and
1980
in
Russian
and held by
75
libraries
worldwide
Théorie mathématique des processus optimaux by L. S Pontri︠a︡gin (
Book
)
4
editions published
in
1974
in
French
and held by
73
libraries
worldwide
Commande optimale des systèmes discrets by V. G Bolti︠a︡nskiĭ (
Book
)
9
editions published
in
1976
in
French and Russian
and held by
70
libraries
worldwide
more
fewer
Related Identities

Яглом, И. М (Исаак Моисеевич) 19211988 Editor

Gohberg, I. (Israel) 19282009 Editor

Hilbert, David 18621943

Poznyak, Alexander S.

Martini, Horst 1954

Efremovich, V. A.

Soltan, P. S. (Petr Semenovich)

Pontriaguine, Lev Semenovitch (19081988)

Gamkrelidze, Revaz Valerianovich (1927....) Contributor

Miŝenko, Evgenij Frolovič (1922....)

Alternative Names
Boltânskij, V. G. Boltânskij, Vladimir G. Boltianski, V. Boltianski, V. 1925 Boltianski, Vladimir Grigorevich 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, 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 Grigorevič 1925 Boltjanskij, Vladimir Grigor'evič. [t] Boltjanskij, Vladimir Grigorevich Boltjanskij, Vladimir Grigorevitch Boltjanskis, V. (Vladimirs), 1925 Boltjansky, V. G. 1925 Boltjansky, Vladimir G. 1925 Boltjansky, Vladimir Grigor'evič Boltyanski, V. G. Boltyanski, V. (Vladimir), 1925 Boltyanski, Vladimir. Boltyanski, Vladimir 1925 Boltyanski, Vladimir G. Boltyanski, Vladimir G. 1925 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 Болтянский, Владимир Григорьевич. Болтянский, Владимир Григорьевич, 1925....
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