Alekseev, V. M. (Vladimir Mikhaĭlovich)
Overview
Works:  27 works in 118 publications in 4 languages and 577 library holdings 

Genres:  History 
Roles:  Author, Editor, Other, Redactor, Translator 
Publication Timeline
.
Most widely held works by
V. M Alekseev
Optimal control by
V. M Alekseev(
Book
)
13 editions published between 1987 and 2014 in English and Undetermined and held by 233 WorldCat member libraries worldwide
There is an evergrowing interest in control problems today, con nected with the urgent problems of the effective use of natural resources, manpower, materials, and technology. When referring to the most important achievements of science and technology in the 20th Century, one usually mentions the splitting of the atom, the exploration of space, and computer engineering. Achievements in control theory seem less spectacular when viewed against this background, but the applications of control theory are playing an important role in the development of modern civilization, and there is every reason to believe that this role will be even more signifi cant in the future. Wherever there is active human participation, the problem arises of finding the best, or optimal, means of control. The demands of economics and technology have given birth to optimization problems which, in turn, have created new branches of mathematics. In the Forties, the investigation of problems of economics gave rise to a new branch of mathematical analysis called linear and convex program ming. At that time, problems of controlling flying vehicles and technolog ical processes of complex structures became important. A mathematical theory was formulated in the midFifties known as optimal control theory. Here the maximum principle of L.S. Pontryagin played a pivotal role. Op timal control theory synthesized the concepts and methods of investigation using the classical methods of the calculus of variations and the methods of contemporary mathematics, for which Soviet mathematicians made valuable contributions
13 editions published between 1987 and 2014 in English and Undetermined and held by 233 WorldCat member libraries worldwide
There is an evergrowing interest in control problems today, con nected with the urgent problems of the effective use of natural resources, manpower, materials, and technology. When referring to the most important achievements of science and technology in the 20th Century, one usually mentions the splitting of the atom, the exploration of space, and computer engineering. Achievements in control theory seem less spectacular when viewed against this background, but the applications of control theory are playing an important role in the development of modern civilization, and there is every reason to believe that this role will be even more signifi cant in the future. Wherever there is active human participation, the problem arises of finding the best, or optimal, means of control. The demands of economics and technology have given birth to optimization problems which, in turn, have created new branches of mathematics. In the Forties, the investigation of problems of economics gave rise to a new branch of mathematical analysis called linear and convex program ming. At that time, problems of controlling flying vehicles and technolog ical processes of complex structures became important. A mathematical theory was formulated in the midFifties known as optimal control theory. Here the maximum principle of L.S. Pontryagin played a pivotal role. Op timal control theory synthesized the concepts and methods of investigation using the classical methods of the calculus of variations and the methods of contemporary mathematics, for which Soviet mathematicians made valuable contributions
Analyse quantitative. [Količestvennyj analiz. by
V. M Alekseev(
Book
)
27 editions published between 1965 and 1989 in French and Italian and held by 83 WorldCat member libraries worldwide
27 editions published between 1965 and 1989 in French and Italian and held by 83 WorldCat member libraries worldwide
Commande optimale by
V. M Alekseev(
Book
)
8 editions published in 1982 in French and Italian and held by 57 WorldCat member libraries worldwide
8 editions published in 1982 in French and Italian and held by 57 WorldCat member libraries worldwide
Thirteen papers on differential equations by
V. M Alekseev(
Book
)
11 editions published in 1970 in English and Undetermined and held by 27 WorldCat member libraries worldwide
11 editions published in 1970 in English and Undetermined and held by 27 WorldCat member libraries worldwide
Optimalʹnoe upravlenie by
V. M Alekseev(
Book
)
8 editions published between 1979 and 2005 in Russian and Undetermined and held by 21 WorldCat member libraries worldwide
8 editions published between 1979 and 2005 in Russian and Undetermined and held by 21 WorldCat member libraries worldwide
Three papers on dynamical systems by
A. G Kusnirenko(
Book
)
8 editions published in 1981 in English and held by 17 WorldCat member libraries worldwide
8 editions published in 1981 in English and held by 17 WorldCat member libraries worldwide
Recueil de problèmes d'optimisation by
Valeriĭ Alekseev(
Book
)
7 editions published in 1987 in French and Undetermined and held by 14 WorldCat member libraries worldwide
7 editions published in 1987 in French and Undetermined and held by 14 WorldCat member libraries worldwide
Vneshni︠a︡i︠a︡ politika Turt︠s︡ii by
V. M Alekseev(
Book
)
3 editions published in 1961 in Russian and held by 13 WorldCat member libraries worldwide
3 editions published in 1961 in Russian and held by 13 WorldCat member libraries worldwide
Sbornik zadac̆ po optimizacii : teorija, primery, zadac̆i by
V. M Alekseev(
Book
)
2 editions published in 1984 in Russian and held by 11 WorldCat member libraries worldwide
2 editions published in 1984 in Russian and held by 11 WorldCat member libraries worldwide
Vlažnostʹ gruntov i sovremennye metody ee opredelenija by
Anatolij Konstantinovič Larionov(
Book
)
2 editions published in 1962 in Russian and held by 7 WorldCat member libraries worldwide
2 editions published in 1962 in Russian and held by 7 WorldCat member libraries worldwide
Symbolic dynamics and hyperbolic dynamic systems by
V. M Alekseev(
Book
)
1 edition published in 1981 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 7 WorldCat member libraries worldwide
Izbrannye zadači iz žurnala "American mathematical monthly"(
Book
)
3 editions published in 1977 in Russian and held by 6 WorldCat member libraries worldwide
3 editions published in 1977 in Russian and held by 6 WorldCat member libraries worldwide
Sovremennai︠a︡ Turt︠s︡ii︠a︡ by
V. M Alekseev(
Book
)
3 editions published in 1961 in Russian and held by 5 WorldCat member libraries worldwide
3 editions published in 1961 in Russian and held by 5 WorldCat member libraries worldwide
Izbrannye zadachi iz zhurnala American mathematical monthly(
Book
)
1 edition published in 1977 in Russian and held by 3 WorldCat member libraries worldwide
1 edition published in 1977 in Russian and held by 3 WorldCat member libraries worldwide
Functional analysis and semigroups by
Einar Hille(
Book
)
2 editions published in 1962 in Russian and held by 3 WorldCat member libraries worldwide
2 editions published in 1962 in Russian and held by 3 WorldCat member libraries worldwide
Ils ont vu cela, les mineurs d'Écosse by
V. M Alekseev(
Book
)
2 editions published in 1952 in French and held by 2 WorldCat member libraries worldwide
2 editions published in 1952 in French and held by 2 WorldCat member libraries worldwide
Ordinary differential equations by
Philip Hartman(
Book
)
2 editions published in 1970 in Russian and Undetermined and held by 2 WorldCat member libraries worldwide
Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the HartmanGrobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables
2 editions published in 1970 in Russian and Undetermined and held by 2 WorldCat member libraries worldwide
Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the HartmanGrobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables
Polʹskie matematicheskie olimpiady by
S Straszewicz(
Book
)
1 edition published in 1978 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1978 in Russian and held by 2 WorldCat member libraries worldwide
Vvedenie v differencialʹnuju dinamiku by
Zbigniew Nitecki(
Book
)
2 editions published in 1975 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1975 in Russian and held by 2 WorldCat member libraries worldwide
Nekotorye voprosy sovremennogo analiza(
Book
)
2 editions published in 1984 in Russian and held by 1 WorldCat member library worldwide
2 editions published in 1984 in Russian and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934
 Fomin, S. V. (Sergeĭ Vasilʹevich)
 Sosinskij, Aleksej Bronislavovič 1937 ... Other
 American Mathematical Society Editor
 Kusnirenko, A. G. Other Author
 Katok, A. B. Other
 Volosov, Vladimir Markovič Translator
 Galeev, Ė. M. (Ėlʹfat Mikhaĭlovich)
 Kerimov, M. A.
 Lipson, G. A. Author
Useful Links
Associated Subjects
American Mathematical Society Banach spaces Calculus Celestial mechanics Chemical reactions Chemistry, Analytic Chemistry, AnalyticQualitative Control theory Diffeomorphisms Differentiable dynamical systems Differential equations Diplomatic relations Extreme value theory Functional analysis Group theory Mathematical analysis Mathematical optimization Mathematics Nonlinear oscillations Semigroups Topology Turkey
Alternative Names
Alekseev V. M.
Alekseev, Vladimir Michajlovič
Alekseev, Vladimir Michajlovič. [t]
Alekseev, Vladimir Mihajlovič 19321980
Alekseev Vladimir Mikhailovich
Alekseev, Vladimir Mikhaĭlovich 19321980
Alekseev Vladimir Mikhaïlovitch 19321980
Alexéev, V.
Alexéev, V. 19321980
Vladimir Alekseev Russian mathematician
Vladimir Michailovich Alekseev
Wladimir Michailowitsch Alexejew
Wladimir Michailowitsch Alexejew mathématicien russe
Wladimir Michailowitsch Alexejew Russisch wiskundige (19321980)
Алексеев, В. М..
Алексеев, Владимир Михайлович
Languages