WorldCat Identities

Petrovskiĭ, I. G. (Ivan Georgievich)

Overview
Works: 134 works in 564 publications in 8 languages and 3,798 library holdings
Genres: Conference papers and proceedings  Biography  History 
Roles: Author, Editor, Honoree, Compiler, Adapter, Creator, Author of introduction, Other
Classifications: QA372, 517.38
Publication Timeline
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Most widely held works by I. G Petrovskiĭ
Lectures on partial differential equations by I. G Petrovskiĭ( Book )

60 editions published between 1950 and 2012 in English and Undetermined and held by 657 WorldCat member libraries worldwide

Graduate-level exposition by noted Russian mathematician offers rigorous, transparent, highly readable coverage of classification of equations, hyperbolic equations, elliptic equations and parabolic equations. Wealth of commentary and insight invaluable for deepening understanding of problems considered in text. Translated from the Russian by A. Shenitzer
Lectures on the theory of integral equations by I. G Petrovskiĭ( Book )

44 editions published between 1948 and 1984 in 3 languages and held by 558 WorldCat member libraries worldwide

Ordinary differential equations by V. I Arnolʹd( Book )

33 editions published between 1966 and 1973 in 3 languages and held by 512 WorldCat member libraries worldwide

Although there is no lack of other books on this subject, even with the same title, the appearance of this new one is fully justified on at least two grounds: its approach makes full use of modern mathematical concepts and terminology of considerable sophistication and abstraction, going well beyond the traditional presentation of the subject; and, at the same time, the resulting enhancement of mathematical abstractness is counterbalanced by a constant appeal to geometrical and physical considerations, presented in the main text and in numerous problems and exercises. In the terms of mathematical approach, the text is dominated by two central ideas: the theorem on rectifiability of a vector field (which is equivalent to the usual theorems on existence, uniqueness, and differentiability of solutions) and the theory of one-parameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental concepts--like phase space and phase flows, smooth manifolds and tangent bundles, vector fields and one-parameter groups of diffeomorphisms--that remain in the shadows in the traditional coordinate-based approach. All of these concepts are presented in some detail, but without assuming any background on the part of the reader beyond the scope of the standard elementary courses on analysis and linear algebra
Partial differential equations by I. G Petrovskiĭ( Book )

18 editions published in 1967 in English and Undetermined and held by 457 WorldCat member libraries worldwide

Vorlesungen über die Theorie der gewöhnlichen Differentialgleichungen by I. G Petrovskiĭ( Book )

38 editions published between 1949 and 2003 in 3 languages and held by 191 WorldCat member libraries worldwide

Vorlesungen über die Theorie der Integralgleichungen by I. G Petrovskiĭ( Book )

22 editions published between 1948 and 2003 in 3 languages and held by 150 WorldCat member libraries worldwide

Vorlesungen über partielle Differentialgleichungen by I. G Petrovskiĭ( Book )

25 editions published between 1950 and 1961 in 5 languages and held by 137 WorldCat member libraries worldwide

Trudy Mezhdunarodnogo kongressa matematikov. Proceedings of International congress of mathematicians by I. G Petrovskiĭ( Book )

20 editions published between 1966 and 1979 in 5 languages and held by 96 WorldCat member libraries worldwide

Moskovskiĭ universitet za pi︠a︡tʹdesi︠a︡t let sovetskoĭ vlasti. Moskovskiĭ ordena Lenina i ordena Trudogo krasnogo znameni gosudarstvennyĭ universitet imeni M.V. Lomonosova by Moskovskiĭ gosudarstvennyĭ universitet im. M.V. Lomonosova( Book )

3 editions published in 1967 in Russian and held by 89 WorldCat member libraries worldwide

Lekt︠s︡ii po teorii obyknovennykh different︠s︡ialʹnykh uravneniĭ by I. G Petrovskiĭ( Book )

27 editions published between 1939 and 1980 in Russian and held by 75 WorldCat member libraries worldwide

Differential equations( Book )

1 edition published in 1962 in English and held by 66 WorldCat member libraries worldwide

Théorie des équations différentielles ordinaires et des équations intégrales by I. G Petrovskiĭ( Book )

8 editions published between 1984 and 1988 in 3 languages and held by 64 WorldCat member libraries worldwide

Lekt︠s︡ii ob uravnenii︠a︡kh s chastnymi proizvodnymi : dop. v kachestve ucheb. dli︠a︡ gos. universitetov by I. G Petrovskiĭ( Book )

15 editions published between 1950 and 1961 in Russian and Czech and held by 61 WorldCat member libraries worldwide

Obs.: Klasifikace rovnic; Hyperbolické rovnice (Cauchyova úloha v oboru neanalytických funkcí. Chvění ohraničených těles.); Eliptické rovnice; Parabolické rovnice
Selected works by I. G Petrovskiĭ( Book )

in English and held by 47 WorldCat member libraries worldwide

Higher education in the U.S.S.R by I. G Petrovskiĭ( Book )

11 editions published between 1953 and 1955 in English and held by 44 WorldCat member libraries worldwide

Moskovskij Universitet za pjatʹdesjat let Sovetskoj vlasti by Moskovskiĭ gosudarstvennyĭ universitet im. M.V. Lomonosova( Book )

11 editions published in 1967 in Russian and held by 33 WorldCat member libraries worldwide

Lecciones de Teoría de las Ecuaciones Integrales by I. G Petrovskiĭ( Book )

12 editions published between 1971 and 1976 in 3 languages and held by 25 WorldCat member libraries worldwide

Izbrannye trudy : different︠s︡ialʹnye uravnenii︠a︡ : teorii︠a︡ veroi︠a︡tnosteĭ by I. G Petrovskiĭ( Book )

5 editions published in 1987 in Russian and held by 25 WorldCat member libraries worldwide

Trudy Vsesoi︠u︡znoĭ konferent︠s︡ii po uranveni︠a︡m s chastnymi proizvodnymi, posvi︠a︡shchennoĭ 75-letii︠u︡ so dni︠a︡ rozhdenii︠a︡ akademika I.G. Petrovskogo : [27-31 i︠a︡navri︠a︡ 1976 g.] by posviaschennoĭ 75-letiiu so dnia rozhdeniia Akademika I.G. Petrovskogo Vsesoiuznaia konferentsiia po uravneniiam s chastnymi prozvodnymi( Book )

5 editions published between 1978 and 1980 in Russian and held by 21 WorldCat member libraries worldwide

Moscow University by I. G Petrovskiĭ( Book )

4 editions published in 1955 in English and held by 21 WorldCat member libraries worldwide

 
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Lectures on partial differential equations
Alternative Names
Ivan Georgijevič Petrovski

Ivan Georgijevič Petrovskij ruský matematik

Ivan Petrovski mathématicien russe

Ivan Petrovsky matemático ruso

Ivan Petrovsky Russian mathematician

Ivan Petrovsky wiskundige uit Keizerrijk Rusland (1901-1973)

Iwan Georgijewitsch Petrowski russischer Mathematiker

Iwan Pietrowski

Petrovski, I. G.

Petrovski, Ivan Georgievich 1901-1973

Petrovski, Ivan Georgievitch

Petrovskii, I.G.

Petrovskiĭ, I.G. 1901-1973

Petrovskiĭ, I.G. (Ivan Georgievich), 1901-1973

Petrovskiĭ, Ivan Georgievich

Petrovskiĭ, Ivan Georgievich 1901-1973

Petrovskij, I. G.

Petrovskij, Ivan Georgevič 1901-1973

Petrovskij, Ivan Georgievič 1901-1973

Petrovskij, Ivan Georgievich 1901-1973

Petrovskij, Ivan Grigor'evǐc 1901-1973

Petrovskiy, Ivan Georgievich 1901-1973

Petrovsky, I. G.

Petrovsky, I.G. 1901-1973

Petrovsky, I. G. (Ivan Georgievich), 1901-1973

Pétrovsky, Ivan 1901-1973

Petrovsky, Ivan Georgievich.

Petrovsky, Ivan Georgievich 1901-1973

Petrowski, I. G.

Petrowski, I.G. 1901-1973

Petrowski, Ivan G. 1901-1973

Petrowski, Ivan Georgievitch

Petrowskij, Ivan Georgievic 1901-1973

Pétrowsky, I.

Petrowsky, I.G.

Petrowsky, I.G. 1901-1973

Petrowsky Ivan Georgievich

Petrowsky, Ivan Georgievich 1901-1973

Pietrowski, I.

Pietrowski, I. G.

Piotrowski, I.

Петровский, И. Г. (Иван Георгиевич)

Петровский, И. Г. (Иван Георгиевич), 1901-1973

Петровский, Иван Георгиевич

Петровский, Иван Георгиевич 1901-1973

Իվան Պետրովսկի

ペトロフスキー, I. G.

ペトロフスキー, イヴァン ゲオルギェヴィッチ

ペトロフスキイ, イワン ゲオルギーェビッチ

伊凡·彼得羅夫斯基

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