Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934
Overview
Works:  98 works in 317 publications in 6 languages and 4,257 library holdings 

Genres:  Biography 
Roles:  Author, Editor, Translator, pre, Honoree 
Classifications:  QA306, 511.66 
Publication Timeline
.
Most widely held works by
V. M Tikhomirov
Stories about maxima and minima by
V. M Tikhomirov(
Book
)
20 editions published between 1990 and 2003 in English and held by 689 WorldCat member libraries worldwide
"Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the pastEuclid, Archimedes, Heron, the Bernoullis, Newton, and many otherstook part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of problems by a single method. This book presents fifteen "stories" designed to acquaint readers with the central concepts of the theory of maxima and minima, as well as with its illustrious history. This book is accessible to high school students and would likely be of interest to a wide variety of readers. In Part One, the author familiarizes readers with many concrete problems that lead to discussion of the work of some of the greatest mathematicians of all time. Part Two introduces a method for solving maximum and minimum problems that originated with Lagrange. While the content of this method has varied constantly, its basic conception has endured for over two centuries. The final story is addressed primarily to those who teach mathematics, for it impinges on the question of how and why to teach. Throughout the book, the author strives to show how the analysis of diverse facts gives rise to a general idea, how this idea is transformed, how it is enriched by new content, and how it remains the same in spite of these changes."Publisher
20 editions published between 1990 and 2003 in English and held by 689 WorldCat member libraries worldwide
"Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the pastEuclid, Archimedes, Heron, the Bernoullis, Newton, and many otherstook part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of problems by a single method. This book presents fifteen "stories" designed to acquaint readers with the central concepts of the theory of maxima and minima, as well as with its illustrious history. This book is accessible to high school students and would likely be of interest to a wide variety of readers. In Part One, the author familiarizes readers with many concrete problems that lead to discussion of the work of some of the greatest mathematicians of all time. Part Two introduces a method for solving maximum and minimum problems that originated with Lagrange. While the content of this method has varied constantly, its basic conception has endured for over two centuries. The final story is addressed primarily to those who teach mathematics, for it impinges on the question of how and why to teach. Throughout the book, the author strives to show how the analysis of diverse facts gives rise to a general idea, how this idea is transformed, how it is enriched by new content, and how it remains the same in spite of these changes."Publisher
Geometry by
V. V Prasolov(
Book
)
9 editions published in 2001 in English and held by 300 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 300 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 283 WorldCat member libraries worldwide
14 editions published between 1982 and 1986 in English and held by 283 WorldCat member libraries worldwide
Theory of extremal problems by
Aleksandr Davidovich Ioffe(
Book
)
10 editions published in 1979 in English and Dutch and held by 260 WorldCat member libraries worldwide
Theory of extremal problems
10 editions published in 1979 in English and Dutch and held by 260 WorldCat member libraries worldwide
Theory of extremal problems
Convex analysis : theory and applications by
G. G MagarilIlʹyaev(
Book
)
12 editions published in 2003 in English and held by 249 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."Jacket
12 editions published in 2003 in English and held by 249 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."Jacket
Optimization : insights and applications by
Jan Brinkhuis(
Book
)
15 editions published between 2005 and 2008 in English and held by 247 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
15 editions published between 2005 and 2008 in English and held by 247 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
Optimal control by
V. M Alekseev(
Book
)
13 editions published in 1987 in English and Undetermined and held by 234 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 in 1987 in English and Undetermined and held by 234 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
Selected works of A.N. Kolmogorov by
A. N Kolmogorov(
Book
)
in English and held by 147 WorldCat member libraries worldwide
in English and held by 147 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 98 WorldCat member libraries worldwide
11 editions published in 1982 in German and English and held by 98 WorldCat member libraries worldwide
Selected works of A.N Kolmogorov by
A. N Kolmogorov(
Book
)
24 editions published between 1991 and 1993 in English and held by 70 WorldCat member libraries worldwide
24 editions published between 1991 and 1993 in English and held by 70 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 64 WorldCat member libraries worldwide
9 editions published in 1987 in French and Undetermined and held by 64 WorldCat member libraries worldwide
Theorie der Extremalaufgaben by
Aleksandr Davidovich Ioffe(
Book
)
9 editions published in 1979 in German and held by 55 WorldCat member libraries worldwide
9 editions published in 1979 in German and held by 55 WorldCat member libraries worldwide
Commande optimale by
V. M Alekseev(
Book
)
7 editions published in 1982 in French and Italian and held by 48 WorldCat member libraries worldwide
7 editions published in 1982 in French and Italian and held by 48 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
A. I︠A︡ Khinchin(
Book
)
10 editions published in 1960 in German and Italian and held by 28 WorldCat member libraries worldwide
10 editions published in 1960 in German and Italian and held by 28 WorldCat member libraries worldwide
I︠A︡vlenie chrezvychaĭnoe : kniga o Kolmogorove(
Book
)
1 edition published in 1999 in Russian and held by 23 WorldCat member libraries worldwide
1 edition published in 1999 in Russian and held by 23 WorldCat member libraries worldwide
Mathematics and mechanics by
A. N Kolmogorov(
Book
)
7 editions published in 1991 in English and held by 21 WorldCat member libraries worldwide
7 editions published in 1991 in English and held by 21 WorldCat member libraries worldwide
Optimalʹnoe upravlenie by
V. M Alekseev(
Book
)
6 editions published between 1979 and 2005 in Russian and Undetermined and held by 19 WorldCat member libraries worldwide
6 editions published between 1979 and 2005 in Russian and Undetermined and held by 19 WorldCat member libraries worldwide
Nekotorye voprosy teorii približenij by
V. M Tikhomirov(
Book
)
4 editions published in 1976 in Russian and held by 19 WorldCat member libraries worldwide
4 editions published in 1976 in Russian and held by 19 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
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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) Author
 Volosov, Vladimir Markovitch Translator
Useful Links
Associated Subjects
Banach spaces Calculus of variations Control theory Convex geometry 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,
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 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
טיחומירוב, ו.מ מתמטיקאי רוסי
チホミロフ
ティコミロフ, V. M.
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