Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934
Overview
Works:  80 works in 272 publications in 5 languages and 3,974 library holdings 

Genres:  Biography 
Roles:  Author, Editor, Translator, pre, Honoree 
Classifications:  QA306, 511.66 
Publication Timeline
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Most widely held works by
V. M Tikhomirov
Stories about maxima and minima by
V. M Tikhomirov(
Book
)
21 editions published between 1986 and 2003 in English and Russian and held by 706 WorldCat member libraries worldwide
21 editions published between 1986 and 2003 in English and Russian and held by 706 WorldCat member libraries worldwide
Optimal control by
V. M Alekseev(
Book
)
25 editions published between 1979 and 2005 in 5 languages and held by 298 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
25 editions published between 1979 and 2005 in 5 languages and held by 298 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
Geometry by
V. V Prasolov(
Book
)
9 editions published in 2001 in English and held by 298 WorldCat member libraries worldwide
This is a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic. Also included is a chapter on infinitedimensional generalizations of Euclidean and affine geometries
9 editions published in 2001 in English and held by 298 WorldCat member libraries worldwide
This is a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic. Also included is a chapter on infinitedimensional generalizations of Euclidean and affine geometries
Fundamental principles of the theory of extremal problems by
V. M Tikhomirov(
Book
)
14 editions published between 1982 and 1986 in English and held by 284 WorldCat member libraries worldwide
14 editions published between 1982 and 1986 in English and held by 284 WorldCat member libraries worldwide
Theory of extremal problems by
Aleksandr Davidovich Ioffe(
Book
)
9 editions published in 1979 in English and held by 257 WorldCat member libraries worldwide
Theory of extremal problems
9 editions published in 1979 in English and held by 257 WorldCat member libraries worldwide
Theory of extremal problems
Optimization : insights and applications by
Jan Brinkhuis(
Book
)
13 editions published between 2005 and 2008 in English and held by 240 WorldCat member libraries worldwide
This selfcontained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the FermatLagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant
13 editions published between 2005 and 2008 in English and held by 240 WorldCat member libraries worldwide
This selfcontained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the FermatLagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant
Convex analysis : theory and applications by
G. G MagarilIlʹyaev(
Book
)
9 editions published in 2003 in English and held by 238 WorldCat member libraries worldwide
"This book is an introduction to convex analysis and some of its applications. It starts with basis theory, which is explained within the framework of finitedimensional spaces. The only prerequisites are basic analysis and simple geometry. The second chapter presents some applications of convex analysis, including problems of linear programming, geometry, and approximation. Special attention is paid to applications of convex analysis to Kolmogorovtype inequalities for derivatives of functions is one variable. Chapter 3 collects some results on geometry and convex analysis in infinitedimensional spaces. A comprehensive introduction written "for beginners" illustrates the fundamentals of convex analysis in finitedimensional spaces." "The book can be used for an advanced undergraduate or graduate level course on convex analysis and its applications. It is also suitable for independent study of this extremely important area of mathematics."BOOK JACKET
9 editions published in 2003 in English and held by 238 WorldCat member libraries worldwide
"This book is an introduction to convex analysis and some of its applications. It starts with basis theory, which is explained within the framework of finitedimensional spaces. The only prerequisites are basic analysis and simple geometry. The second chapter presents some applications of convex analysis, including problems of linear programming, geometry, and approximation. Special attention is paid to applications of convex analysis to Kolmogorovtype inequalities for derivatives of functions is one variable. Chapter 3 collects some results on geometry and convex analysis in infinitedimensional spaces. A comprehensive introduction written "for beginners" illustrates the fundamentals of convex analysis in finitedimensional spaces." "The book can be used for an advanced undergraduate or graduate level course on convex analysis and its applications. It is also suitable for independent study of this extremely important area of mathematics."BOOK JACKET
Selected works of A.N. Kolmogorov by
A. N Kolmogorov(
Book
)
in English and held by 145 WorldCat member libraries worldwide
in English and held by 145 WorldCat member libraries worldwide
Grundprinzipien der Theorie der Extremalaufgaben by
V. M Tikhomirov(
Book
)
11 editions published in 1982 in German and English and held by 95 WorldCat member libraries worldwide
11 editions published in 1982 in German and English and held by 95 WorldCat member libraries worldwide
Recueil de problèmes d'optimisation by
Valeriĭ Alekseev(
Book
)
9 editions published in 1987 in French and Undetermined and held by 62 WorldCat member libraries worldwide
9 editions published in 1987 in French and Undetermined and held by 62 WorldCat member libraries worldwide
Selected works of A.N Kolmogorov by
A. N Kolmogorov(
Book
)
22 editions published between 1991 and 1993 in English and Undetermined and held by 61 WorldCat member libraries worldwide
22 editions published between 1991 and 1993 in English and Undetermined and held by 61 WorldCat member libraries worldwide
Teorii︠a︡ ėkstremalʹnykh zadach by
Aleksandr Davidovich Ioffe(
Book
)
2 editions published in 1974 in Russian and held by 31 WorldCat member libraries worldwide
2 editions published in 1974 in Russian and held by 31 WorldCat member libraries worldwide
Arbeiten zur Informationstheorie by
R. L Dobrushin(
Book
)
11 editions published in 1960 in 3 languages and held by 28 WorldCat member libraries worldwide
11 editions published in 1960 in 3 languages and held by 28 WorldCat member libraries worldwide
I︠A︡vlenie chrezvychaĭnoe : kniga o Kolmogorove(
Book
)
1 edition published in 1999 in Russian and held by 22 WorldCat member libraries worldwide
1 edition published in 1999 in Russian and held by 22 WorldCat member libraries worldwide
EpsilonEntropie und EpsilonKapazität von Mengen in Funktionalräumen by
A. N Kolmogorov(
Book
)
1 edition published in 1960 in German and held by 19 WorldCat member libraries worldwide
1 edition published in 1960 in German and held by 19 WorldCat member libraries worldwide
Mathematics and mechanics by
A. N Kolmogorov(
Book
)
5 editions published in 1991 in English and held by 19 WorldCat member libraries worldwide
5 editions published in 1991 in English and held by 19 WorldCat member libraries worldwide
Selected works by
A. N Kolmogorov(
Book
)
1 edition published in 1991 in Undetermined and held by 18 WorldCat member libraries worldwide
1 edition published in 1991 in Undetermined and held by 18 WorldCat member libraries worldwide
Nekotorye voprosy teorii približenij by
Vladimir Mihajlovič Tihomirov(
Book
)
3 editions published in 1976 in Russian and held by 18 WorldCat member libraries worldwide
3 editions published in 1976 in Russian and held by 18 WorldCat member libraries worldwide
Nekotorye voprosy teorii priblizheniĭ by
V. M Tikhomirov(
Book
)
2 editions published in 1976 in Russian and held by 15 WorldCat member libraries worldwide
2 editions published in 1976 in Russian and held by 15 WorldCat member libraries worldwide
Mikhail I︠A︡kovlevich Suslin, 18941919 by V. I Igoshin(
Book
)
2 editions published in 1996 in Russian and held by 12 WorldCat member libraries worldwide
2 editions published in 1996 in Russian and held by 12 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Brinkhuis, Jan Author
 Ioffe, Aleksandr Davidovich Author
 Kolmogorov, A. N. (Andreĭ Nikolaevich) 19031987 Honoree Author
 Alekseev, V. M. (Vladimir Mikhaĭlovich) Author
 Fomin, S. V. (Sergeĭ Vasilʹevich)
 Prasolov, V. V. (Viktor Vasilʹevich) Author
 MagarilIlʹyaev, G. G. (Georgii G.) 1944 Author
 Makowski, K.
 Galeev, Ė. M. (Ėlʹfat Mikhaĭlovich)
 Makho, E.
Useful Links
Associated Subjects
Approximation theory Banach spaces Calculus of variations Control theory Convex functions Convex geometry Convex sets Differential equations Discrete geometry EconometricsMathematical models Extremal problems (Mathematics) Extreme value theory Functional analysis Geometry Information theory Kolmogorov, A. N.(Andreĭ Nikolaevich), Mathematical optimization Mathematicians Mathematics Maxima and minima Mechanics Mechanics, Analytic Operator theory Physics Probabilities Russia (Federation) Shannon, Claude Elwood, Suslin, Mikhail I︠A︡kovlevich,
Alternative Names
Tichomirov, V. 1934
Tichomirov, V. M.
Tichomirov, V. M. 1934
Tichomirov, Vladimir 1934
Tichomirov, Vladimir Michajlovič
Tichomirov, Vladimir Michajlovič 1934
Tichomirov, Vladimir Michajlovič. [t]
Tichomirov, W. M. 1934
Tichomirow, W. M.
Tichomirow, W.M. 1934
Tichomirow, Wladimir Michailovitch
Tihomirov, V. M.
Tihomirov, V. M. 1934
Tihomirov, Vladimir M.
Tihomirov, Vladimir Mihajlovič 1934...
Tikhomirov, V.
Tikhomirov, V. 1934
Tikhomirov, V.M
Tikhomirov, V. M. 1934
Tikhomirov, V. M. (Vladimir Mikhaĭlovich), 1934
Tikhomirov, Vladimir.
Tikhomirov, Vladimir 1934
Tikhomirov, Vladimir M.
Tikhomirov, Vladimir M. 1934
Tikhomirov, Vladimir Mikhaĭlovich
Tikhomirov, Vladimir Mikhaĭlovich 1934
Tikhomirov Vladimir Mikhaïlovitch 1934....
Tikhomirow, W. M.
Vladimir Tikhomirov
Vladimir Tikhomirov Russian mathematician
Wladimir Michailowitsch Tichomirow mathématicien russe
Wladimir Michailowitsch Tichomirow Russisch wiskundige
Wladimir Michailowitsch Tichomirow russischer Mathematiker
Тихомиров, В. М 1934
Тихомиров, В. М. (Владимир Михайлович), 1934
Тихомиров, Владимир Михайлович
טיחומירוב, ו.מ
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