Fomin, S. V. (Sergeĭ Vasilʹevich)
Overview
Works:  134 works in 689 publications in 9 languages and 6,753 library holdings 

Genres:  Conference papers and proceedings Bibliography Biobibliography 
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 1,201 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 1,201 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
Introductory real analysis by
A. N Kolmogorov(
Book
)
54 editions published between 1970 and 1975 in English and Undetermined and held by 1,041 WorldCat member libraries worldwide
Selfcontained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, and much more. 350 problems. 1970 edition
54 editions published between 1970 and 1975 in English and Undetermined and held by 1,041 WorldCat member libraries worldwide
Selfcontained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, and much more. 350 problems. 1970 edition
Ergodic theory by
I. P Kornfelʹd(
Book
)
11 editions published between 1981 and 1982 in English and German and held by 480 WorldCat member libraries worldwide
11 editions published between 1981 and 1982 in English and German and held by 480 WorldCat member libraries worldwide
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
Measure, Lebesgue integrals and Hilbert space by
A. N Kolmogorov(
Book
)
23 editions published between 1960 and 1965 in 3 languages and held by 397 WorldCat member libraries worldwide
23 editions published between 1960 and 1965 in 3 languages and held by 397 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
Multiple integrals, field theory, and series : an advanced course in higher mathematics by
B. M Budak(
Book
)
21 editions published between 1973 and 1978 in 3 languages and held by 164 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
21 editions published between 1973 and 1978 in 3 languages and held by 164 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
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
Ėlementy teorii funkt︠s︡iĭ i funkt︠s︡ionalʹnogo analiza. [Ucheb. posobie dli︠a︡ matem. spet︠s︡ialʹnosteĭ untov] by
A. N Kolmogorov(
Book
)
22 editions published between 1960 and 1989 in Russian and Ukrainian and held by 84 WorldCat member libraries worldwide
22 editions published between 1960 and 1989 in Russian and Ukrainian and held by 84 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
Matematika v SSSR, 19581967 : v dvukh tomakh(
Book
)
in Russian and held by 50 WorldCat member libraries worldwide
in Russian and held by 50 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
Matematika v SSSR, 1958  1967 by
S. V Fomin(
Book
)
18 editions published between 1969 and 1988 in Russian and Undetermined and held by 38 WorldCat member libraries worldwide
18 editions published between 1969 and 1988 in Russian and Undetermined and held by 38 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 34 WorldCat member libraries worldwide
4 editions published between 1980 and 2012 in Italian and held by 34 WorldCat member libraries worldwide
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
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
Nine papers on foundations, measure theory and analysis by
S. V Fomin(
Book
)
10 editions published in 1966 in English and Undetermined and held by 25 WorldCat member libraries worldwide
10 editions published in 1966 in English and Undetermined and held by 25 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

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Related Identities
 Kolmogorov, A. N. (Andreĭ Nikolaevich) 19031987 Author
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Author
 Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935
 Kornfelʹd, I. P. (Isaak Pavlovich) Author
 Silverman, Richard A. Other Translator Editor
 Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934 Author
 Alekseev, V. M. (Vladimir Mikhaĭlovich) Author
 Budak, B. M. (Boris Mikhaĭlovich) Author
 Dalet︠s︡kiĭ, I︠U︡. L. (I︠U︡riĭ Lʹvovich) Author
 Shilov, G. E. (Georgiĭ Evgenʹevich) Contributor Editor
Useful Links
Associated Subjects
Algebraic fields Banach spaces 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
Languages
English
(296)
Russian (90)
French (29)
Spanish (20)
Italian (11)
German (10)
Ukrainian (1)
Arabic (1)
Czech (1)
Russian (90)
French (29)
Spanish (20)
Italian (11)
German (10)
Ukrainian (1)
Arabic (1)
Czech (1)
Covers