Fomin, S. V. (Sergeĭ Vasilʹevich)
Overview
Works:  141 works in 632 publications in 10 languages and 6,061 library holdings 

Genres:  Bibliography Conference papers and proceedings Biobibliography 
Roles:  Author, Editor, Creator, Translator, 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
)
172 editions published between 1957 and 2012 in 8 languages and held by 2,548 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
172 editions published between 1957 and 2012 in 8 languages and held by 2,548 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
Calculus of variations by
I. M Gelʹfand(
Book
)
63 editions published between 1961 and 2000 in 3 languages and held by 1,216 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
63 editions published between 1961 and 2000 in 3 languages and held by 1,216 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
)
7 editions published between 1974 and 1975 in English and held by 480 WorldCat member libraries worldwide
7 editions published between 1974 and 1975 in English and held by 480 WorldCat member libraries worldwide
Measure, Lebesgue integrals and Hilbert space by
A. N Kolmogorov(
Book
)
20 editions published between 1960 and 1965 in English and Russian and held by 389 WorldCat member libraries worldwide
20 editions published between 1960 and 1965 in English and Russian and held by 389 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
Measures and differential equations in infinitedimensional space by
I︠U︡. L Dalet︠s︡kiĭ(
Book
)
17 editions published between 1983 and 1991 in English and Russian and held by 181 WorldCat member libraries worldwide
17 editions published between 1983 and 1991 in English and Russian and held by 181 WorldCat member libraries worldwide
Matematika v SSSR, 19581967 : v dvukh tomakh by
S. V Fomin(
Book
)
21 editions published between 1969 and 1988 in Russian and Undetermined and held by 83 WorldCat member libraries worldwide
21 editions published between 1969 and 1988 in Russian and Undetermined and held by 83 WorldCat member libraries worldwide
Elementos de la teoría de funciones y del análisis funcional by
A. N Kolmogorov(
Book
)
17 editions published between 1972 and 1984 in Spanish and held by 56 WorldCat member libraries worldwide
17 editions published between 1972 and 1984 in Spanish and held by 56 WorldCat member libraries worldwide
Kratnye integraly i ri︠a︡dy by
B. M Budak(
Book
)
18 editions published between 1965 and 1984 in Russian and Italian and held by 54 WorldCat member libraries worldwide
18 editions published between 1965 and 1984 in Russian and Italian and held by 54 WorldCat member libraries worldwide
Ergodic theory by
I. P Kornfelʹd(
Book
)
8 editions published in 1982 in English and German and held by 47 WorldCat member libraries worldwide
8 editions published in 1982 in English and German and held by 47 WorldCat member libraries worldwide
Ėlementy teorii funkt︠s︡ii i funkt︠s︡ionalʹnogo analiza by
A. N Kolmogorov(
Book
)
19 editions published between 1954 and 2006 in Russian and Undetermined and held by 40 WorldCat member libraries worldwide
19 editions published between 1954 and 2006 in Russian and Undetermined and held by 40 WorldCat member libraries worldwide
Sistemy schislenii︠a︡ by
S. V Fomin(
Book
)
13 editions published between 1964 and 1987 in Russian and English and held by 30 WorldCat member libraries worldwide
13 editions published between 1964 and 1987 in Russian and English and held by 30 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 28 WorldCat member libraries worldwide
4 editions published between 1980 and 2012 in Italian and held by 28 WorldCat member libraries worldwide
Multiple integrals, field theory, and series : an advanced course in higher mathematics by
B. M Budak(
Book
)
11 editions published between 1973 and 1978 in English and Russian and held by 28 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
11 editions published between 1973 and 1978 in English and Russian and held by 28 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
Matematicheskie problemy v biologii by
S. V Fomin(
Book
)
7 editions published in 1973 in Russian and Undetermined and held by 26 WorldCat member libraries worldwide
7 editions published in 1973 in Russian and Undetermined and held by 26 WorldCat member libraries worldwide
Elements of the theory of functions and functional analysis by
A. N Kolmogorov(
Book
)
15 editions published between 1961 and 1975 in English and Undetermined and held by 19 WorldCat member libraries worldwide
15 editions published between 1961 and 1975 in English and Undetermined and held by 19 WorldCat member libraries worldwide
Ergodicheskai︠a︡ teorii︠a︡ by
I. P Kornfelʹd(
Book
)
3 editions published in 1980 in Russian and held by 18 WorldCat member libraries worldwide
3 editions published in 1980 in Russian and held by 18 WorldCat member libraries worldwide
Nine papers on foundations, measure theory and analysis by S Fomin(
Book
)
3 editions published in 1966 in English and held by 17 WorldCat member libraries worldwide
3 editions published in 1966 in English and held by 17 WorldCat member libraries worldwide
Problèmes mathématiques en biologie by
S. V Fomin(
Book
)
8 editions published between 1973 and 1975 in French and English and held by 17 WorldCat member libraries worldwide
8 editions published between 1973 and 1975 in French and English and held by 17 WorldCat member libraries worldwide
Ji shu zhi by Fu Ming(
Book
)
1 edition published in 2004 in Chinese and held by 15 WorldCat member libraries worldwide
1 edition published in 2004 in Chinese and held by 15 WorldCat member libraries worldwide
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Audience Level
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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
 Alekseev, V. M. (Vladimir Mikhaĭlovich) Author
 Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934 Author
 Dalet︠s︡kiĭ, I︠U︡. L. (I︠U︡riĭ Lʹvovich) Author
 Budak, B. M. (Boris Mikhaĭlovich) Author
 Shilov, G. E. (Georgiĭ Evgenʹevich) Contributor Editor Creator
 Kornfel'd, Isaak P. Author
 Komm, Horace 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 Lebesgue integral Mathematical analysis Mathematical optimization Mathematics MathematicsPhilosophy Measure theory Multiple integrals Numeration Quantum field theory Series Vector analysis
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, 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
フォミーン
フォーミン, エス・ヴェ
Languages
English
(263)
Russian (108)
French (26)
Spanish (17)
German (10)
Italian (8)
Chinese (1)
Ukrainian (1)
Arabic (1)
Multiple languages (1)
Russian (108)
French (26)
Spanish (17)
German (10)
Italian (8)
Chinese (1)
Ukrainian (1)
Arabic (1)
Multiple languages (1)
Covers