Fomin, S. V. (Sergeĭ Vasilʹevich)
Overview
Works:  131 works in 620 publications in 8 languages and 4,724 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Translator, Creator, Contributor 
Classifications:  QA331, 515.64 
Publication Timeline
.
Most widely held works by
S. V Fomin
Elements of the theory of functions and functional analysis by
A. N Kolmogorov(
Book
)
114 editions published between 1957 and 2006 in 6 languages and held by 1,269 WorldCat member libraries worldwide
Úvodní část obsahuje výklad teorie množin, metrických a topologických prostorů, normovaných a topologických lineárních prostorů, lineárních funkcionálů a lineárních operátorů. Další kapitoly se zabývají teorií míry, měřitelnými funkcemi, prostory integrovatelných funkcí, Fourierovou transformací, lineárními integrálními rovnicemi a základy diferenciálního počtu v lineárních prostorech. V dodatku je uveden výklad Banachových algeber a jejich aplikací
114 editions published between 1957 and 2006 in 6 languages and held by 1,269 WorldCat member libraries worldwide
Úvodní část obsahuje výklad teorie množin, metrických a topologických prostorů, normovaných a topologických lineárních prostorů, lineárních funkcionálů a lineárních operátorů. Další kapitoly se zabývají teorií míry, měřitelnými funkcemi, prostory integrovatelných funkcí, Fourierovou transformací, lineárními integrálními rovnicemi a základy diferenciálního počtu v lineárních prostorech. V dodatku je uveden výklad Banachových algeber a jejich aplikací
Calculus of variations by
I. M Gelʹfand(
Book
)
66 editions published between 1963 and 2000 in 3 languages and held by 1,200 WorldCat member libraries worldwide
First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices
66 editions published between 1963 and 2000 in 3 languages and held by 1,200 WorldCat member libraries worldwide
First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices
Number systems by
S. V Fomin(
Book
)
8 editions published between 1974 and 1975 in English and held by 474 WorldCat member libraries worldwide
8 editions published between 1974 and 1975 in English and held by 474 WorldCat member libraries worldwide
Optimal control by
V. M Alekseev(
Book
)
26 editions published between 1979 and 2005 in 5 languages and held by 299 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
26 editions published between 1979 and 2005 in 5 languages and held by 299 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
Measures and differential equations in infinitedimensional space by
I︠U︡. L Dalet︠s︡kiĭ(
Book
)
13 editions published in 1991 in English and held by 154 WorldCat member libraries worldwide
13 editions published in 1991 in English and held by 154 WorldCat member libraries worldwide
Éléments de la théorie des fonctions et de l'analyse fonctionnelle by
A. N Kolmogorov(
Book
)
25 editions published between 1974 and 1994 in 4 languages and held by 131 WorldCat member libraries worldwide
25 editions published between 1974 and 1994 in 4 languages and held by 131 WorldCat member libraries worldwide
Reelle Funktionen und Funktionalanalysis by
A. N Kolmogorov(
Book
)
9 editions published between 1972 and 1975 in German and held by 108 WorldCat member libraries worldwide
9 editions published between 1972 and 1975 in German and held by 108 WorldCat member libraries worldwide
Introductory real analysis by
A. N Kolmogorov(
Book
)
29 editions published between 1970 and 1975 in English and Undetermined and held by 105 WorldCat member libraries worldwide
This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is selfcontained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section {u2014} there are 37 in all {u2014} is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for selfstudy or for the classroom {u2014} it is basic oneyear course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable
29 editions published between 1970 and 1975 in English and Undetermined and held by 105 WorldCat member libraries worldwide
This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is selfcontained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section {u2014} there are 37 in all {u2014} is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for selfstudy or for the classroom {u2014} it is basic oneyear course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable
Ėlementy teorii funkt︠s︡iĭ i funkt︠s︡ionalʹnogo analiza. [Ucheb. posobie dli︠a︡ matem. spet︠s︡ialʹnosteĭ untov] by
A. N Kolmogorov(
Book
)
21 editions published between 1960 and 1989 in Russian and held by 82 WorldCat member libraries worldwide
21 editions published between 1960 and 1989 in Russian and held by 82 WorldCat member libraries worldwide
Elementos de la teoría de funciones y del análisis funcional by
A. N Kolmogorov(
Book
)
18 editions published between 1972 and 1984 in Spanish and held by 58 WorldCat member libraries worldwide
18 editions published between 1972 and 1984 in Spanish and held by 58 WorldCat member libraries worldwide
Measure, Lebesgue integrals and Hilbert space by
A. N Kolmogorov(
Book
)
16 editions published between 1960 and 1965 in 3 languages and held by 53 WorldCat member libraries worldwide
16 editions published between 1960 and 1965 in 3 languages and held by 53 WorldCat member libraries worldwide
Ergodic theory by
I. P Kornfelʹd(
Book
)
8 editions published in 1982 in English and German and held by 49 WorldCat member libraries worldwide
8 editions published in 1982 in English and German and held by 49 WorldCat member libraries worldwide
Kratnye integraly i ri︠a︡dy by
B. M Budak(
Book
)
16 editions published between 1965 and 1967 in Russian and held by 46 WorldCat member libraries worldwide
16 editions published between 1965 and 1967 in Russian and held by 46 WorldCat member libraries worldwide
Elementi di teoria delle funzioni e di analisi funzionale by
A. N Kolmogorov(
Book
)
4 editions published between 1980 and 2012 in Italian and held by 32 WorldCat member libraries worldwide
4 editions published between 1980 and 2012 in Italian and held by 32 WorldCat member libraries worldwide
Multiple integrals, field theory, and series : an advanced course in higher mathematics by
B. M Budak(
Book
)
12 editions published between 1973 and 1978 in English and Russian and held by 31 WorldCat member libraries worldwide
Double integrals; Triple integrals and multiple integrals of higher orer; Elements of differential geometry; Line integrals; Surface integrals; Field theory; Tensors; Functional sequences and series; Improper integrals; Integrals dependent on parameter
12 editions published between 1973 and 1978 in English and Russian and held by 31 WorldCat member libraries worldwide
Double integrals; Triple integrals and multiple integrals of higher orer; Elements of differential geometry; Line integrals; Surface integrals; Field theory; Tensors; Functional sequences and series; Improper integrals; Integrals dependent on parameter
Variat︠s︡ionnoe ischislenie by
I. M Gelʹfand(
Book
)
3 editions published in 1961 in Russian and held by 29 WorldCat member libraries worldwide
3 editions published in 1961 in Russian and held by 29 WorldCat member libraries worldwide
Matematicheskie problemy v biologii by
S. V Fomin(
Book
)
8 editions published between 1966 and 1973 in Russian and Undetermined and held by 27 WorldCat member libraries worldwide
8 editions published between 1966 and 1973 in Russian and Undetermined and held by 27 WorldCat member libraries worldwide
Sistemy schislenii︠a︡ by
S. V Fomin(
Book
)
9 editions published between 1964 and 1987 in Russian and English and held by 26 WorldCat member libraries worldwide
9 editions published between 1964 and 1987 in Russian and English and held by 26 WorldCat member libraries worldwide
Mery i different︠s︡ialʹnye uravnenii︠a︡ v beskonechnomernykh prostranstvakh by
I︠U︡. L Dalet︠s︡kiĭ(
Book
)
2 editions published in 1983 in Russian and held by 25 WorldCat member libraries worldwide
2 editions published in 1983 in Russian and held by 25 WorldCat member libraries worldwide
Nine papers on foundations, measure theory and analysis by
S. V Fomin(
Book
)
9 editions published in 1966 in English and Undetermined and held by 25 WorldCat member libraries worldwide
9 editions published in 1966 in English and Undetermined and held by 25 WorldCat member libraries worldwide
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Related Identities
 Kolmogorov, A. N. (Andreĭ Nikolaevich) 19031987 Author
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Author
 Silverman, Richard A. Other Translator Editor
 Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934 Author
 Alekseev, V. M. (Vladimir Mikhaĭlovich) Author
 Dalet︠s︡kiĭ, I︠U︡. L. (I︠U︡riĭ Lʹvovich) Author
 Budak, B. M. (Boris Mikhaĭlovich) Author
 Komm, Horace Translator
 Kamel, Hyman Translator
 Boron, Leo F. Translator
Useful Links
Associated Subjects
Algebraic fields Banach spaces Biomathematics Calculus, Integral Calculus of variations Chemistry, Analytic Control theory Differentiable dynamical systems Differential equations Distribution (Probability theory) Ergodic theory Extreme value theory Functional analysis Functions Functions of real variables Hilbert space Integrals, Generalized Integration, Functional Lebesgue integral Linear operators Mathematical analysis Mathematical optimization Mathematics MathematicsPhilosophy Measure theory Metric spaces Multiple integrals Numeration Quantum field theory Series Set theory Topological spaces Vector analysis Vector spaces
Alternative Names
Fomín, S.
Fomin S. V.
Fomin, S.V. 19171975
Fomin, S. W.
Fomin, Sergei V. 19171975
Fomin Sergei Vasilevich
Fomin, Sergeĭ Vasilʹevich 19171975
Fomin Sergei Vasilyevich
Fomin, Sergei Vasilyevich 19171975
Fomin, Sergej 19171975
Fomin, Sergej Vasilʹevič 19171975
Fomin, Sergej Vasil'evich.
Fomin, Sergej Vladimirovič.
Fomin, Sergey
Fomine S.
Fomine Sergueï Vasilievitch 19171975
Sergei Fomin mathématicien russe
Sergei Fomin Russian mathematician
Sergei Fomin Russisch wiskundige (19171975)
Sergei Wassiljewitsch Fomin russischer Mathematiker
Фомин, С. В.
Фомин, С. В. (Сергей Васильевич)
Фомин, Сергей Васильевич
Фомин, Сергей Васильевич, 19171975
セルゲイ・ヴァジレヴィッチ・フォーミン
フォミーン
フォーミン, エス・ヴェ
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