Bolti︠a︡nskiĭ, V. G. (Vladimir Grigorʹevich) 1925
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 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
)
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 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
)
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 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
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 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
Topologicheskie polupolia by M. I︠A︡ Antonovskiĭ (
Book
)
3
editions published
in
1960
in
Russian and Undetermined
and held by
6
libraries
worldwide
more
fewer
Related Identities

Яглом, И. М (Исаак Моисеевич) 19211988 Author Editor

Gohberg, I. (Israel) 19282009 Editor

Hilbert, David 18621943

Martini, Horst 1954 Author

Efremovich, V. A.

Poznyak, Alexander S.

Soltan, P. S. (Petr Semenovich)

Gamkrelidze, Revaz Valerianovich (1927 ...) Contributor

Branson, Thomas P. Translator

Christoffers, Henry Translator

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
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