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
.
Most widely held works about
I. G Petrovskiĭ
 Akademik I.G. Petrovskiĭ : rektor Moskovskogo universiteta by E. V Ilʹchenko( Book )
 Ivan Georgievich Petrovskiĭ( Book )
 Trudy Vsesoi︠u︡znoĭ konferent︠s︡ii po uranveni︠a︡m s chastnymi proizvodnymi, posvi︠a︡shchennoĭ 75letii︠u︡ so dni︠a︡ rozhdenii︠a︡ akademika I.G. Petrovskogo : [2731 i︠a︡navri︠a︡ 1976 g.] by posviaschennoĭ 75letiiu so dnia rozhdeniia Akademika I.G. Petrovskogo Vsesoiuznaia konferentsiia po uravneniiam s chastnymi prozvodnymi( Book )
 Sistemy uravneniĭ s chastnymi proizvodnymi, algebraicheskai︠a︡ geometrii︠a︡ : izbrannye trudy by I. G Petrovskiĭ( Book )
 Zadachi mekhaniki i matematicheskoĭ fiziki : [Sbornik stateĭ] : Posvi︠a︡shchaetsi︠a︡ pami︠a︡ti akad. I. G. Petrovskogo by I. G Petrovskiĭ( Book )
more
fewer
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
Graduatelevel 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
60 editions published between 1950 and 2012 in English and Undetermined and held by 657 WorldCat member libraries worldwide
Graduatelevel 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
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 oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased 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
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 oneparameter groups of linear transformations (equivalent to the theory of linear autonomous systems). The book also develops whole congeries of fundamental conceptslike phase space and phase flows, smooth manifolds and tangent bundles, vector fields and oneparameter groups of diffeomorphismsthat remain in the shadows in the traditional coordinatebased 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
5 editions published in 1987 in Russian and held by 25 WorldCat member libraries worldwide
Trudy Vsesoi︠u︡znoĭ konferent︠s︡ii po uranveni︠a︡m s chastnymi proizvodnymi, posvi︠a︡shchennoĭ 75letii︠u︡ so dni︠a︡ rozhdenii︠a︡
akademika I.G. Petrovskogo : [2731 i︠a︡navri︠a︡ 1976 g.] by posviaschennoĭ 75letiiu 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
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
4 editions published in 1955 in English and held by 21 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

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Kids  General  Special 
Related Identities
 Komm, Horace
 Kamel, Hyman
 Moskovskiĭ gosudarstvennyĭ universitet im. M.V. Lomonosova
 Oleĭnik, O. A. Other Editor
 Shenitzer, Abe Translator
 Ziegler, Viktor
 Myshkis, A. D. (Anatoliĭ Dmitrievich)
 Dorodnit︠s︡yn, Anatoliĭ Alekseevich 1910
 Berezin, I. S. (Ivan Semenovich)
 Leontʹev, Alekseĭ Fedorovich 1917 Author
Useful Links
Associated Subjects
Communism and education Curves, Algebraic Differential equations Differential equations, Partial Differential operators Education Education, Higher Equations Geometry, Algebraic Global analysis (Mathematics) Integral equations Mathematical physics Mathematicians Mathematics Mechanics, Analytic Moskovskiĭ gosudarstvennyĭ universitet im. M.V. Lomonosova Petrovskiĭ, I. G.(Ivan Georgievich) Presidents Probabilities Soviet Union SturmLiouville equation Universities and colleges Van der Pol oscillators (Physics)
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 (19011973)
Iwan Georgijewitsch Petrowski russischer Mathematiker
Iwan Pietrowski
Petrovski, I. G.
Petrovski, Ivan Georgievich 19011973
Petrovski, Ivan Georgievitch
Petrovskii, I.G.
Petrovskiĭ, I.G. 19011973
Petrovskiĭ, I.G. (Ivan Georgievich), 19011973
Petrovskiĭ, Ivan Georgievich
Petrovskiĭ, Ivan Georgievich 19011973
Petrovskij, I. G.
Petrovskij, Ivan Georgevič 19011973
Petrovskij, Ivan Georgievič 19011973
Petrovskij, Ivan Georgievich 19011973
Petrovskij, Ivan Grigor'evǐc 19011973
Petrovskiy, Ivan Georgievich 19011973
Petrovsky, I. G.
Petrovsky, I.G. 19011973
Petrovsky, I. G. (Ivan Georgievich), 19011973
Pétrovsky, Ivan 19011973
Petrovsky, Ivan Georgievich.
Petrovsky, Ivan Georgievich 19011973
Petrowski, I. G.
Petrowski, I.G. 19011973
Petrowski, Ivan G. 19011973
Petrowski, Ivan Georgievitch
Petrowskij, Ivan Georgievic 19011973
Pétrowsky, I.
Petrowsky, I.G.
Petrowsky, I.G. 19011973
Petrowsky Ivan Georgievich
Petrowsky, Ivan Georgievich 19011973
Pietrowski, I.
Pietrowski, I. G.
Piotrowski, I.
Петровский, И. Г. (Иван Георгиевич)
Петровский, И. Г. (Иван Георгиевич), 19011973
Петровский, Иван Георгиевич
Петровский, Иван Георгиевич 19011973
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
Languages
English
(152)
Russian (143)
German (37)
Spanish (11)
French (7)
Multiple languages (4)
Czech (3)
Italian (2)
Russian (143)
German (37)
Spanish (11)
French (7)
Multiple languages (4)
Czech (3)
Italian (2)
Covers