Fomin, S. V. (Sergeĭ Vasilʹevich)
Overview
Works:  168 works in 625 publications in 12 languages and 5,249 library holdings 

Genres:  Conference papers and proceedings Bibliography Biobibliography 
Roles:  Author, Editor, Creator, Translator, Contributor 
Classifications:  QA331, 515.64 
Publication Timeline
.
Most widely held works by
S. V Fomin
Calculus of variations by
I. M Gelʹfand(
Book
)
61 editions published between 1963 and 2000 in English and Undetermined and held by 1,187 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
61 editions published between 1963 and 2000 in English and Undetermined and held by 1,187 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
)
53 editions published between 1970 and 1975 in English and Undetermined and held by 1,016 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
53 editions published between 1970 and 1975 in English and Undetermined and held by 1,016 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
Number systems by
S. V Fomin(
Book
)
6 editions published between 1974 and 1975 in English and held by 486 WorldCat member libraries worldwide
6 editions published between 1974 and 1975 in English and held by 486 WorldCat member libraries worldwide
Measure, Lebesgue integrals and Hilbert space by
A. N Kolmogorov(
Book
)
15 editions published between 1960 and 1965 in English and Russian and held by 386 WorldCat member libraries worldwide
15 editions published between 1960 and 1965 in English and Russian and held by 386 WorldCat member libraries worldwide
Optimal control by
V. M Alekseev(
Book
)
25 editions published between 1979 and 2005 in 5 languages and held by 295 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 295 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
Éléments de la théorie des fonctions et de l'analyse fonctionnelle by
A. N Kolmogorov(
Book
)
58 editions published between 1954 and 2006 in 7 languages and held by 220 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
58 editions published between 1954 and 2006 in 7 languages and held by 220 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
Multiple integrals, field theory, and series : an advanced course in higher mathematics by
B. M Budak(
Book
)
37 editions published between 1965 and 1984 in 4 languages and held by 214 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
37 editions published between 1965 and 1984 in 4 languages and held by 214 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 151 WorldCat member libraries worldwide
13 editions published in 1991 in English and held by 151 WorldCat member libraries worldwide
Symmetric functions 2001 : surveys of developments and perspectives by
S. V Fomin(
Book
)
9 editions published in 2002 in English and held by 93 WorldCat member libraries worldwide
This book surveys recent developments and outlines research prospects in various fields, the fundamental questions of which can be stated in the language of symmetric functions. Interdisciplinary interconnections are emphasized
9 editions published in 2002 in English and held by 93 WorldCat member libraries worldwide
This book surveys recent developments and outlines research prospects in various fields, the fundamental questions of which can be stated in the language of symmetric functions. Interdisciplinary interconnections are emphasized
Reelle Funktionen und Funktionalanalysis by
A. N Kolmogorov(
Book
)
10 editions published between 1972 and 1975 in German and Multiple languages and held by 92 WorldCat member libraries worldwide
10 editions published between 1972 and 1975 in German and Multiple languages and held by 92 WorldCat member libraries worldwide
Matematika v SSSR, 19581967 : v dvukh tomakh by
S. V Fomin(
Book
)
14 editions published between 1969 and 1988 in Russian and held by 64 WorldCat member libraries worldwide
14 editions published between 1969 and 1988 in Russian and held by 64 WorldCat member libraries worldwide
Elementos de la teoría de funciones y del análisis funcional by
A. N Kolmogorov(
Book
)
16 editions published between 1972 and 1984 in Spanish and held by 51 WorldCat member libraries worldwide
16 editions published between 1972 and 1984 in Spanish and held by 51 WorldCat member libraries worldwide
Elements of the theory of functions and functional analysis by
A. N Kolmogorov(
Book
)
9 editions published between 1957 and 1971 in English and held by 50 WorldCat member libraries worldwide
9 editions published between 1957 and 1971 in English and held by 50 WorldCat member libraries worldwide
Elements of the theory of functions and functional analysis by
A. N Kolmogorov(
Book
)
12 editions published between 1957 and 2012 in English and Arabic and held by 48 WorldCat member libraries worldwide
12 editions published between 1957 and 2012 in English and Arabic and held by 48 WorldCat member libraries worldwide
Ergodic theory by
I. P Kornfelʹd(
Book
)
9 editions published in 1982 in English and German and held by 47 WorldCat member libraries worldwide
9 editions published in 1982 in English and German and held by 47 WorldCat member libraries worldwide
Matematicheskie problemy v biologii by
S. V Fomin(
Book
)
16 editions published between 1973 and 1975 in 4 languages and held by 43 WorldCat member libraries worldwide
16 editions published between 1973 and 1975 in 4 languages and held by 43 WorldCat member libraries worldwide
Variat︠s︡ionnoe ischislenie by
I. M Gelʹfand(
Book
)
10 editions published between 1961 and 1979 in 3 languages and held by 37 WorldCat member libraries worldwide
10 editions published between 1961 and 1979 in 3 languages and held by 37 WorldCat member libraries worldwide
Elements of the theory of functional analysis by
A. N Kolmogorov(
Book
)
1 edition published in 1961 in English and held by 32 WorldCat member libraries worldwide
1 edition published in 1961 in English and held by 32 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
Sistemy schislenii︠a︡ by
S. V Fomin(
Book
)
8 editions published between 1964 and 1987 in Russian and English and held by 25 WorldCat member libraries worldwide
8 editions published between 1964 and 1987 in Russian and English and held by 25 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
 Budak, B. M. (Boris Mikhaĭlovich) Author
 Dalet︠s︡kiĭ, I︠U︡. L. (I︠U︡riĭ Lʹvovich) Author
 Shilov, G. E. (Georgiĭ Evgenʹevich) Contributor Editor Creator
 Kornfel'd, Isaak P. Author
 Sinaj, Jakov G.
Useful Links
Associated Subjects
Algebra Algebraic fields Banach spaces Biomathematics Calculus, Integral Calculus of variations Chemistry, Analytic Combinatorial analysis Control theory Differentiable dynamical systems Differential equations Distribution (Probability theory) Ergodic theory Extreme value theory Functional analysis Functions Functions of real variables Geometry, Algebraic Hilbert space Integrals, Generalized Lebesgue integral Mathematical optimization Mathematics Measure theory Multiple integrals Numeration Quantum field theory Series Symmetric functions Vector analysis
Alternative Names
Fomn, 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 Vasilʹevič 19171975
Fomin, Sergej Vasil'evich.
Fomin, Sergey
Fomine S.
Fomine Sergue Vasilievitch 19171975
Sergei Fomin mathmaticien russe
Sergei Fomin Russian mathematician
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
(213)
Russian (86)
French (29)
Spanish (17)
German (11)
Polish (6)
Italian (4)
Portuguese (2)
Czech (2)
Ukrainian (1)
Arabic (1)
Multiple languages (1)
Russian (86)
French (29)
Spanish (17)
German (11)
Polish (6)
Italian (4)
Portuguese (2)
Czech (2)
Ukrainian (1)
Arabic (1)
Multiple languages (1)
Covers