WorldCat Identities

Shilov, G. E. (Georgiĭ Evgenʹevich)

Overview
Works: 204 works in 1,029 publications in 6 languages and 9,074 library holdings
Genres: Textbooks 
Roles: Author, Editor, Creator, wpr, Contributor, Other
Publication Timeline
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Most widely held works about G. E Shilov
 
Most widely held works by G. E Shilov
Linear algebra by G. E Shilov( Book )

52 editions published between 1965 and 2012 in English and Undetermined and held by 1,041 WorldCat member libraries worldwide

Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space
Integral, measure and derivative : a unified approach by G. E Shilov( Book )

47 editions published between 1965 and 1977 in English and held by 860 WorldCat member libraries worldwide

This treatment examines the general theory of the integral, Lebesque integral in n-space, the Riemann-Stieltjes integral, and more. "The exposition is fresh and sophisticated, and will engage the interest of accomplished mathematicians."--Sci-Tech Book News. 1966 edition
Elementary real and complex analysis by G. E Shilov( Book )

29 editions published between 1973 and 2012 in English and held by 842 WorldCat member libraries worldwide

Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, series, the derivative, higher derivatives, the integral and more. Each chapter contains a problem set (hints and answers at the end), while a wealth of examples and applications are found throughout the text. Over 340 theorems fully proved. 1973 edition
An introduction to the theory of linear spaces by G. E Shilov( Book )

37 editions published between 1961 and 2012 in English and Undetermined and held by 828 WorldCat member libraries worldwide

This introduction to linear algebra and functional analysis offers a clear expository treatment, viewing algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. All abstract ideas receive a high degree of motivation, and numerous examples illustrate many different fields of mathematics. Abundant problems include hints or answers
Generalized functions by I. M Gelʹfand( Book )

6 editions published between 1967 and 1968 in English and held by 631 WorldCat member libraries worldwide

Elementary functional analysis by G. E Shilov( Book )

20 editions published between 1974 and 2013 in English and Undetermined and held by 506 WorldCat member libraries worldwide

In this introductory work on mathematical analysis, the noted mathematician Georgi E. Shilov begins with an extensive and important chapter on the basic structures of mathematical analysis: linear spaces, metric spaces, normed linear spaces, Hilbert spaces, and normed algebras. The standard models for all these spaces are sets of functions (hence the term "functional analysis"), rather than sets of points in a finite-dimensional space. Chapter 2 is devoted to differential equations, and contains the basic theorems on existence and uniqueness of solutions of ordinary differential equations for functions taking values in a Banach space. The solution of the linear equation with constant (operator) coefficients is written in general form in terms of the exponential of the operator. This leads, in the finite-dimensional case, to explicit formulas not only for the solutions of first-order equations, but also to the solutions of higher-order equations and systems of equations. The third chapter presents a theory of curvature for curve in a multidimensional space. The final two chapters essentially comprise an introduction to Fourier analysis. In the treatment of orthogonal expansions, a key role is played by Fourier series and the various kinds of convergence and summability for such series. The material on Fourier transforms, in addition to presenting the more familiar theory, also deals with problems in the complex domain, in particular with problems involving the Laplace transform. Designed for students at the upper-undergraduate or graduate level, the text includes a set of problems for each chapter, with hints and answers at the end of the book
Generalized functions and partial differential equations by G. E Shilov( Book )

21 editions published in 1968 in English and held by 479 WorldCat member libraries worldwide

Mathematical analysis, a special course by G. E Shilov( Book )

26 editions published between 1965 and 1968 in English and Undetermined and held by 476 WorldCat member libraries worldwide

Mathematical Analysis: A Special Course covers the fundamentals, principles, and theories that make up mathematical analysis
How to construct graphs by G. E Shilov( Book )

10 editions published in 1963 in English and held by 350 WorldCat member libraries worldwide

Les distributions by I. M Gelʹfand( Book )

27 editions published between 1962 and 1972 in French and English and held by 225 WorldCat member libraries worldwide

Generalized Functions by I. M Gelʹfand( )

24 editions published between 1963 and 2016 in English and held by 195 WorldCat member libraries worldwide

The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I.M. Gel2 and and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 1
Kommutative normierte Algebren by I. M Gelʹfand( Book )

12 editions published in 1964 in German and held by 175 WorldCat member libraries worldwide

Analyse mathématique : Fonctions de plusieurs variables réelles by G. E Shilov( Book )

51 editions published between 1973 and 1978 in 5 languages and held by 155 WorldCat member libraries worldwide

Verallgemeinerte Funktionen (Distributionen) by I. M Gelʹfand( Book )

29 editions published between 1960 and 1967 in 3 languages and held by 138 WorldCat member libraries worldwide

Band 1
Properties and operations by I. M Gelʹfand( Book )

23 editions published between 1958 and 2016 in 4 languages and held by 127 WorldCat member libraries worldwide

Theory of differential equations by I. M Gelʹfand( Book )

16 editions published between 1967 and 2016 in English and Italian and held by 105 WorldCat member libraries worldwide

Theory of Differential Equations
Integral, mera i proizvodnai︠a︡; obshchai︠a︡ teorii︠a︡ by G. E Shilov( Book )

25 editions published between 1964 and 1967 in Russian and Undetermined and held by 102 WorldCat member libraries worldwide

Les distributions by I. M Gelʹfand( Book )

15 editions published between 1962 and 1965 in French and English and held by 87 WorldCat member libraries worldwide

Generalized functions by I. M Gelʹfand( )

12 editions published between 1967 and 2016 in English and Undetermined and held by 75 WorldCat member libraries worldwide

Commutative normed rings by I. M Gelʹfand( Book )

16 editions published between 1957 and 2003 in English and Italian and held by 74 WorldCat member libraries worldwide

 
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Audience level: 0.56 (from 0.37 for How to con ... to 0.90 for Les distri ...)

Linear algebra
Covers
Integral, measure and derivative : a unified approachElementary real and complex analysisAn introduction to the theory of linear spacesElementary functional analysisCommutative normed rings
Alternative Names
Bosse, Ûrij.

Chilov, G.

Chilov, G. E.

Chilov, G. E. 1917-1975

Chilov, Georgi E. 1917-1975

Chilov, Georgi Eugen 1917-1975

Chilov, Georgij Evgen'evič 1917-1975

Chilov, Gueorgi Evguenievitc

Chilov Gueorgi Evguenievitch

Georgi Jewgenjewitsch Schilow russischer Mathematiker

Georgij Evgen'evič Šilov matematico sovietico

Georgiy Shilov matemático ruso

Georgiy Shilov mathématicien russe

Georgiy Shilov Russisch wiskundige (1917-1975)

Georgiy Shilov Soviet mathematician

Gieorgij Szyłow

Schilow G. E.

Schilow, G. E. 1917-1975

Schilow, Georgii E. 1917-1975

Shilov, G.

Shilov, G. 1917-1975

Shilov, G.E.

Shilov, G. E. 1917-1975

Shilov, G. E. (Georgiĭ Evgenʹevich)

Shilov, G. E. (Georgiĭ Evgenʹevich), 1917-1975

Shilov, G. Y. 1917-1975

Shilov, G.Ye

Shilov, G. Ye 1917-1975

Shilov Georgi E.

Shilov, Georgi E. 1917-1975

Shilov, Georgi Eugen 1917-1975

Shilov, Georgi Evgenʹevich 1917-1975

Shilov, Georgi Ye.

Shilov, Georgii E.

Shilov, Georgii E. 1917-1975

Shilov Georgiĭ Evgenʹevich

Shilov, Georgiĭ Evgenʹevich 1917-1975

Shilov, Georgij E.

Shilov, Georgij Evgen'evič 1917-1975

Shilov, Georgij Evgenʹevich 1917-1975

Shilow, Georgi Eugen 1917-1975

Šilov, G. E.

Šilov, G. E. 1917-1975

Šilov, Georgij Evgen'evič

Šilov, Georgij Evgenʹevič 1917-1975

Шилов, Г. Е

Шилов, Г. Е. (Георгий Евгеньевич)

Шилов, Георгий Евгениевич

Шилов, Георгий Евгениевич, 1917-1975

Шилов, Георгий Евгеньевич

Шилов Георгій Євгенович

جورجي شيلوف عالم رياضي روسي

ゲオルギー・シロフ

シーロフ

シーロフ, G. E.

シーロフ, Г. E.

シーロフ, グーレヴィチ

喬治.希洛夫

Languages
English (324)

French (84)

German (41)

Russian (36)

Italian (5)

Spanish (1)