Fomin, S. V. (Sergeĭ Vasilʹevich)
Overview
Works:  145 works in 729 publications in 8 languages and 6,819 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
Elements of the theory of functions and functional analysis by
A. N Kolmogorov(
Book
)
100 editions published between 1957 and 1999 in 4 languages and held by 1,230 WorldCat member libraries worldwide
Based on the authors' courses and lectures, this twopart advancedlevel text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more. Each section contains exercises. Lists of symbols, definitions, and theorems. 1957 edition.
100 editions published between 1957 and 1999 in 4 languages and held by 1,230 WorldCat member libraries worldwide
Based on the authors' courses and lectures, this twopart advancedlevel text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more. Each section contains exercises. Lists of symbols, definitions, and theorems. 1957 edition.
Calculus of variations by
I. M Gelʹfand(
Book
)
71 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
71 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
Introductory real analysis by
A. N Kolmogorov(
Book
)
53 editions published between 1970 and 1975 in English and Undetermined and held by 1,033 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 1,033 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 478 WorldCat member libraries worldwide
Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " It includes the construc tion of direct and skew products of dynamical systems, the RohlinHalmos lemma, and the theory of special representations of dynamical systems with continuous time. A considerable part deals with entropy
11 editions published between 1981 and 1982 in English and German and held by 478 WorldCat member libraries worldwide
Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. Before this period, with a small number of exceptions, ergodic theory dealt primarily with averaging problems and general qualitative questions, while now it is a powerful amalgam of methods used for the analysis of statistical properties of dyna mical systems. For this reason, the problems of ergodic theory now interest not only the mathematician, but also the research worker in physics, biology, chemistry, etc. The outline of this book became clear to us nearly ten years ago but, for various reasons, its writing demanded a long period of time. The main principle, which we adhered to from the beginning, was to develop the approaches and methods or ergodic theory in the study of numerous concrete examples. Because of this, Part I of the book contains the description of various classes of dynamical systems, and their elementary analysis on the basis of the fundamental notions of ergodicity, mixing, and spectra of dynamical systems. Here, as in many other cases, the adjective" elementary" i~ not synonymous with "simple. " Part II is devoted to "abstract ergodic theory. " It includes the construc tion of direct and skew products of dynamical systems, the RohlinHalmos lemma, and the theory of special representations of dynamical systems with continuous time. A considerable part deals with entropy
Number systems by
S. V Fomin(
Book
)
8 editions published between 1974 and 1975 in English and held by 462 WorldCat member libraries worldwide
8 editions published between 1974 and 1975 in English and held by 462 WorldCat member libraries worldwide
Measure, Lebesgue integrals and Hilbert space by
A. N Kolmogorov(
Book
)
20 editions published between 1961 and 1965 in English and Italian and held by 392 WorldCat member libraries worldwide
20 editions published between 1961 and 1965 in English and Italian and held by 392 WorldCat member libraries worldwide
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
Multiple integrals, field theory, and series : an advanced course in higher mathematics by
B. M Budak(
Book
)
24 editions published between 1973 and 1978 in 4 languages and held by 169 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
24 editions published between 1973 and 1978 in 4 languages and held by 169 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
)
12 editions published in 1991 in English and held by 156 WorldCat member libraries worldwide
12 editions published in 1991 in English and held by 156 WorldCat member libraries worldwide
Éléments de la théorie des fonctions et de l'analyse fonctionnelle by
A. N Kolmogorov(
Book
)
26 editions published between 1974 and 1994 in 4 languages and held by 134 WorldCat member libraries worldwide
26 editions published between 1974 and 1994 in 4 languages and held by 134 WorldCat member libraries worldwide
Reelle Funktionen und Funktionalanalysis by
A. N Kolmogorov(
Book
)
11 editions published between 1972 and 1975 in German and Multiple languages and held by 112 WorldCat member libraries worldwide
11 editions published between 1972 and 1975 in German and Multiple languages and held by 112 WorldCat member libraries worldwide
Ėlementy teorii funkt︠s︡iĭ i funkt︠s︡ionalʹnogo analiza. [Ucheb. posobie dli︠a︡ matem. spet︠s︡ialʹnosteĭ untov] by
A. N Kolmogorov(
Book
)
20 editions published between 1960 and 1989 in Russian and held by 85 WorldCat member libraries worldwide
20 editions published between 1960 and 1989 in Russian and held by 85 WorldCat member libraries worldwide
Matematika v SSSR, 19581967 : v dvukh tomakh by
S. V Fomin(
Book
)
17 editions published between 1969 and 1988 in Russian and Undetermined and held by 67 WorldCat member libraries worldwide
17 editions published between 1969 and 1988 in Russian and Undetermined and held by 67 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
Commande optimale by
V. M Alekseev(
Book
)
8 editions published in 1982 in French and Italian and held by 49 WorldCat member libraries worldwide
8 editions published in 1982 in French and Italian and held by 49 WorldCat member libraries worldwide
Matematicheskie problemy v biologii by
S. V Fomin(
Book
)
17 editions published between 1966 and 1975 in 4 languages and held by 47 WorldCat member libraries worldwide
17 editions published between 1966 and 1975 in 4 languages and held by 47 WorldCat member libraries worldwide
Kratnye integraly i ri︠a︡dy by
B. M Budak(
Book
)
15 editions published between 1965 and 1967 in Russian and held by 44 WorldCat member libraries worldwide
15 editions published between 1965 and 1967 in Russian and held by 44 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 36 WorldCat member libraries worldwide
4 editions published between 1980 and 2012 in Italian and held by 36 WorldCat member libraries worldwide
Ėlementy teorii funkcij i funkcional'nogo analiza by
A. N Kolmogorov(
Book
)
22 editions published between 1954 and 2006 in Russian and Undetermined and held by 35 WorldCat member libraries worldwide
22 editions published between 1954 and 2006 in Russian and Undetermined and held by 35 WorldCat member libraries worldwide
Nine papers on foundations, measure theory and analysis by
S. V Fomin(
Book
)
12 editions published in 1966 in English and Undetermined and held by 26 WorldCat member libraries worldwide
12 editions published in 1966 in English and Undetermined and held by 26 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
 Kornfelʹd, I. P. (Isaak Pavlovich) Author
 Silverman, Richard A. Other Translator Editor
 Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935
 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 Creator
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Associated Subjects
Algebraic fields Biomathematics Calculus Calculus, Integral Calculus of variations Chemistry, Analytic Control theory Differentiable dynamical systems Differential equations Distribution (Probability theory) Ergodic 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., 19171975
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 matemático ruso
Sergei Fomin mathématicien russe
Sergei Fomin Russian mathematician
Sergei Fomin Russisch wiskundige (19171975)
Sergei Wassiljewitsch Fomin russischer Mathematiker
Sergueï Fomine mathématicien russe
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
(305)
Russian (76)
French (36)
Spanish (20)
German (11)
Italian (11)
Arabic (1)
Multiple languages (1)
Russian (76)
French (36)
Spanish (20)
German (11)
Italian (11)
Arabic (1)
Multiple languages (1)
Covers