WorldCat Identities

Fomin, S. V. (Sergeĭ Vasilʹevich)

Overview
Works: 146 works in 687 publications in 8 languages and 6,682 library holdings
Genres: Conference papers and proceedings  Bibliography  Bio-bibliography 
Roles: Author, Editor, Creator, Translator, Contributor
Classifications: QA331, 515.64
Publication Timeline
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Most widely held works by S. V Fomin
Calculus of variations by I. M Gelʹfand( Book )

71 editions published between 1963 and 2000 in 3 languages and held by 1,203 WorldCat member libraries worldwide

Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws
Elements of the theory of functions and functional analysis by A. N Kolmogorov( Book )

37 editions published between 1957 and 1999 in English and Arabic and held by 1,069 WorldCat member libraries worldwide

Based on the authors' courses and lectures, this two-part advanced-level 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.--
Introductory real analysis by A. N Kolmogorov( Book )

53 editions published between 1970 and 1975 in English and Undetermined and held by 1,038 WorldCat member libraries worldwide

Self-contained 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 Rohlin-Halmos 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 466 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

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 ever-growing 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 mid-Fifties 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 )

23 editions published between 1973 and 1978 in 4 languages and held by 167 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 infinite-dimensional space by I︠U︡. L Dalet︠s︡kiĭ( Book )

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 130 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

Ėlementy teorii funkt︠s︡iĭ i funkt︠s︡ionalʹnogo analiza. [Ucheb. posobie dli︠a︡ matem. spet︠s︡ialʹnosteĭ un-tov] by A. N Kolmogorov( Book )

20 editions published between 1960 and 1989 in Russian and held by 85 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

Matematika v SSSR, 1958-1967 : v dvukh tomakh by S. V Fomin( Book )

12 editions published between 1969 and 1988 in Russian and held by 56 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

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

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

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

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

Nine papers on foundations, measure theory and analysis by S. V Fomin( Book )

11 editions published in 1966 in English and Undetermined and held by 25 WorldCat member libraries worldwide

 
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Audience level: 0.54 (from 0.33 for Number sys ... to 0.98 for Elementi d ...)

Introductory real analysis
Alternative Names
Fomín S.

Fomin, S. 1917-1975

Fomin S. V.

Fomin, S.V. 1917-1975

Fomin, S. W.

Fomin, Sergei V. 1917-1975

Fomin Sergei Vasilevich

Fomin, Sergeĭ Vasilʹevich 1917-1975

Fomin Sergei Vasilyevich

Fomin, Sergei Vasilyevich 1917-1975

Fomin, Sergej 1917-1975

Fomin, Sergej Vasilʹevič 1917-1975

Fomin, Sergej Vasil'evich.

Fomin, Sergey

Fomine S.

Fomine Sergueï Vasilievitch 1917-1975

Sergei Fomin matemático ruso

Sergei Fomin mathématicien russe

Sergei Fomin Russian mathematician

Sergei Fomin Russisch wiskundige (1917-1975)

Sergei Wassiljewitsch Fomin russischer Mathematiker

Sergueï Fomine mathématicien russe

Фомин, С. В.

Фомин, С. В. (Сергей Васильевич)

Фомин, Сергей Васильевич

Фомин, Сергей Васильевич, 1917-1975

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
Covers
Elements of the theory of functions and functional analysisIntroductory real analysisMeasures and differential equations in infinite-dimensional space