WorldCat Identities

Shilov, G. E. (Georgiĭ Evgenʹevich)

Overview
Works: 242 works in 994 publications in 6 languages and 9,015 library holdings
Genres: Textbooks 
Roles: Author, Editor, Creator, wpr, Other, Contributor
Classifications: QA331, 517.5
Publication Timeline
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Most widely held works about G. E Shilov
 
Most widely held works by G. E Shilov
An introduction to the theory of linear spaces by G. E Shilov( Book )

36 editions published between 1961 and 2012 in English and Undetermined and held by 798 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
Integral, measure and derivative : a unified approach by G. E Shilov( Book )

42 editions published between 1965 and 2013 in English and held by 771 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
Linear algebra by G. E Shilov( Book )

35 editions published between 1971 and 2012 in English and Undetermined and held by 660 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
Generalized functions by I. M Gelʹfand( Book )

in English and held by 642 WorldCat member libraries worldwide

Elementary real and complex analysis by G. E Shilov( Book )

20 editions published between 1973 and 2012 in English and held by 493 WorldCat member libraries worldwide

In this book the renowned Russian mathematician Georgi E. Shilov brings his unique perspective to real and complex analysis, an area of perennial interest in mathematics. Although there are many books available on the topic, the present work is specially designed for undergraduates in mathematics, science and engineering. A high level of mathematical sophistication is not required. The book begins with a systematic study of real numbers, understood to be a set of objects satisfying certain definite axioms. The concepts of a mathematical structure and an isomorphism are introduced in Chapter 2, after a brief digression on set theory, and a proof of the uniqueness of the structure of real numbers is given as an illustration. Two other structures are then introduced, namely n-dimensional space and the field of complex numbers. After a detailed treatment of metric spaces in Chapter 3, a general theory of limits is developed in Chapter 4. Chapter 5 treats some theorems on continuous numerical functions on the real line, and then considers the use of functional equations to introduce the logarithm and the trigonometric functions. Chapter 6 is on infinite series, dealing not only with numerical series but also with series whose terms are vectors and functions (including power series). Chapters 7 and 8 treat differential calculus proper, with Taylor's series leading to a natural extension of real analysis into the complex domain. Chapter 9 presents the general theory of Riemann integration, together with a number of its applications. Analytic functions are covered in Chapter 10, while Chapter 11 is devoted to improper integrals, and makes full use of the technique of analytic functions. Each chapter includes a set of problems, with selected hints and answers at the end of the book. A wealth of examples and applications can be found throughout the text. Over 340 theorems are fully proved
Generalized functions and partial differential equations by G. E Shilov( Book )

17 editions published in 1968 in English and held by 453 WorldCat member libraries worldwide

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

46 editions published between 1965 and 2016 in English and Undetermined and held by 430 WorldCat member libraries worldwide

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

21 editions published between 1974 and 2013 in English and Undetermined and held by 414 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
How to construct graphs by G. E Shilov( Book )

9 editions published in 1963 in English and held by 351 WorldCat member libraries worldwide

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

32 editions published between 1960 and 1967 in 3 languages and held by 174 WorldCat member libraries worldwide

Band 1
Kommutative normierte Algebren by I. M Gelʹfand( Book )

12 editions published in 1964 in German and held by 172 WorldCat member libraries worldwide

Les distributions by I. M Gelʹfand( Book )

22 editions published between 1962 and 1972 in French and English and held by 159 WorldCat member libraries worldwide

Integral Geometry and Representation Theory
Commutative normed rings by I. M Gelʹfand( Book )

23 editions published between 1957 and 2003 in 4 languages and held by 127 WorldCat member libraries worldwide

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

30 editions published between 1973 and 1978 in 3 languages and held by 102 WorldCat member libraries worldwide

Mathematical analysis by G. E Shilov( Book )

6 editions published in 1973 in English and held by 102 WorldCat member libraries worldwide

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

38 editions published between 1960 and 1969 in 3 languages and held by 90 WorldCat member libraries worldwide

Generalized Functions by I. M Gelʹfand( Book )

22 editions published between 1964 and 2016 in English and Undetermined and held by 83 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. Gel′fand 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
Les distributions by I. M Gelʹfand( Book )

13 editions published between 1962 and 1965 in French and held by 83 WorldCat member libraries worldwide

Integral, mera i proizvodnai︠a︡ na lineĭnykh prostranstvakh by G. E Shilov( Book )

19 editions published between 1964 and 1967 in Russian and Undetermined and held by 68 WorldCat member libraries worldwide

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

16 editions published between 1967 and 2016 in 3 languages and held by 54 WorldCat member libraries worldwide

Theory of Differential Equations
 
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Linear algebra
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 (287)

German (73)

French (68)

Russian (19)

Italian (2)

Spanish (1)

Covers
Integral, measure and derivative : a unified approachLinear algebraElementary real and complex analysisElementary functional analysisCommutative normed rings