Pontri︠a︡gin, L. S. (Lev Semenovich) 19081988
Overview
Works:  218 works in 994 publications in 9 languages and 8,402 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Author, Editor, Honoree, Dedicatee, Other, Creator, Translator, Contributor 
Classifications:  QA611, 513.83 
Publication Timeline
.
Most widely held works about
L. S Pontri︠a︡gin
 Lev Semenovich Pontri︠a︡gin by R. I Kuzʹmenko( Book )
 Russkie i nerusskie uchënye : mify i realʹnostʹ by Vladimir Boi︠a︡rint︠s︡ev( Book )
 Zhizneopisanie Lʹva Semenovicha Pontri︠a︡gina, matematika, sostavlennoe im samim : rozhdenii︠a︡ 1908, g. Moskva by L. S Pontri︠a︡gin( Book )
 The maximization principle of Pontryagin : its relevance to control theory, and application in economics by Michael J Varn( )
 L.S. Pontryagin maximum principle in the theory of optimum systems by L. I Rozonoėr( Book )
 Sovremennye problemy matematiki : differencialʹnye uravnenija, matematičeskij analiz i ich priloženija ; sbornik statej( Book )
 Algebra, topology, differential equations and their applications : collected papers dedicated to the 90th birthday of academician Lev Semenovich Pontryagin by E. F Mishchenko( Book )
more
fewer
Most widely held works by
L. S Pontri︠a︡gin
Topological groups by
L. S Pontri︠a︡gin(
Book
)
146 editions published between 1938 and 1994 in 7 languages and held by 1,566 WorldCat member libraries worldwide
146 editions published between 1938 and 1994 in 7 languages and held by 1,566 WorldCat member libraries worldwide
The mathematical theory of optimal processes by
L. S Pontri︠a︡gin(
Book
)
80 editions published between 1961 and 2017 in 3 languages and held by 1,051 WorldCat member libraries worldwide
"The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature."Provided by publisher
80 editions published between 1961 and 2017 in 3 languages and held by 1,051 WorldCat member libraries worldwide
"The fourth and final volume in this comprehensive set presents the maximum principle as a wide ranging solution to nonclassical, variational problems. This one mathematical method can be applied in a variety of situations, including linear equations with variable coefficients, optimal processes with delay, and the jump condition. As with the three preceding volumes, all the material contained with the 42 sections of this volume is made easily accessible by way of numerous examples, both concrete and abstract in nature."Provided by publisher
Foundations of combinatorial topology by
L. S Pontri︠a︡gin(
Book
)
72 editions published between 1947 and 2015 in 6 languages and held by 960 WorldCat member libraries worldwide
Hailed by The Mathematical Gazette as ""an extremely valuable addition to the literature of algebraic topology,"" this concise but rigorous introductory treatment focuses on applications to dimension theory and fixedpoint theorems. The lucid text examines complexes and their Betti groups, including Euclidean space, application to dimension theory, and decomposition into components; invariance of the Betti groups, with consideration of the cone construction and barycentric subdivisions of a complex; and continuous mappings and fixed points. Proofs are presented in a complete, careful, and eleg
72 editions published between 1947 and 2015 in 6 languages and held by 960 WorldCat member libraries worldwide
Hailed by The Mathematical Gazette as ""an extremely valuable addition to the literature of algebraic topology,"" this concise but rigorous introductory treatment focuses on applications to dimension theory and fixedpoint theorems. The lucid text examines complexes and their Betti groups, including Euclidean space, application to dimension theory, and decomposition into components; invariance of the Betti groups, with consideration of the cone construction and barycentric subdivisions of a complex; and continuous mappings and fixed points. Proofs are presented in a complete, careful, and eleg
Ordinary differential equations by
L. S Pontri︠a︡gin(
Book
)
27 editions published between 1962 and 1994 in 3 languages and held by 714 WorldCat member libraries worldwide
27 editions published between 1962 and 1994 in 3 languages and held by 714 WorldCat member libraries worldwide
Learning higher mathematics by
L. S Pontri︠a︡gin(
Book
)
21 editions published between 1977 and 2004 in 4 languages and held by 521 WorldCat member libraries worldwide
Lev Semenovic Pontrjagin (1908) is one of the outstanding figures in 20th century mathematics. In a long career he has made fundamental con tributions to many branches of mathematics, both pure and applied. He has received every honor that a grateful government can bestow. Though in no way constrained to do so, he has through the years taught mathematics courses at Moscow State University. In the year 1975 he set himself the task of writing a series of books on secondary school and beginning university mathematics. In his own words, "I wished to set forth the foundations of higher mathematics in a form that would have been accessible to myself as a lad, but making use of all my experience as a scientist and a teacher, ac cumulated over many years." The present volume is a translation of the first two out of four moderately sized volumes on this theme planned by Pro fessor Pontrjagin. The book begins at the beginning of modern mathematics, analytic ge ometry in the plane and 3dimensional space. Refinements about limits and the nature of real numbers come only later. Many concrete examples are given; these may take the place of formal exercises, which the book does not provide. The book continues with careful treatment of differentiation and integration, of limits, of expansions of elementary functions in power se ries
21 editions published between 1977 and 2004 in 4 languages and held by 521 WorldCat member libraries worldwide
Lev Semenovic Pontrjagin (1908) is one of the outstanding figures in 20th century mathematics. In a long career he has made fundamental con tributions to many branches of mathematics, both pure and applied. He has received every honor that a grateful government can bestow. Though in no way constrained to do so, he has through the years taught mathematics courses at Moscow State University. In the year 1975 he set himself the task of writing a series of books on secondary school and beginning university mathematics. In his own words, "I wished to set forth the foundations of higher mathematics in a form that would have been accessible to myself as a lad, but making use of all my experience as a scientist and a teacher, ac cumulated over many years." The present volume is a translation of the first two out of four moderately sized volumes on this theme planned by Pro fessor Pontrjagin. The book begins at the beginning of modern mathematics, analytic ge ometry in the plane and 3dimensional space. Refinements about limits and the nature of real numbers come only later. Many concrete examples are given; these may take the place of formal exercises, which the book does not provide. The book continues with careful treatment of differentiation and integration, of limits, of expansions of elementary functions in power se ries
General topology I by
A. V Arkhangelʹskiĭ(
Book
)
22 editions published between 1988 and 1990 in English and held by 354 WorldCat member libraries worldwide
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines
22 editions published between 1988 and 1990 in English and held by 354 WorldCat member libraries worldwide
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines
Current problems of mathematics : mathematical analysis, algebra, topology by
A. A Logunov(
Book
)
17 editions published in 1986 in English and Russian and held by 333 WorldCat member libraries worldwide
17 editions published in 1986 in English and Russian and held by 333 WorldCat member libraries worldwide
Equations différentielles ordinaires by
L. S Pontri︠a︡gin(
Book
)
35 editions published between 1969 and 2012 in 4 languages and held by 229 WorldCat member libraries worldwide
35 editions published between 1969 and 2012 in 4 languages and held by 229 WorldCat member libraries worldwide
Theory of functions and its applications : dedicated to Academician Sergeĭ Mihaĭlovič Nikolʹskiĭ by
L. S Pontri︠a︡gin(
Book
)
11 editions published in 1977 in English and held by 197 WorldCat member libraries worldwide
11 editions published in 1977 in English and held by 197 WorldCat member libraries worldwide
Optimal control and differential games : collection of papers(
Book
)
13 editions published between 1988 and 1990 in 3 languages and held by 194 WorldCat member libraries worldwide
13 editions published between 1988 and 1990 in 3 languages and held by 194 WorldCat member libraries worldwide
Théorie mathématique des processus optimaux by
L. S Pontri︠a︡gin(
Book
)
16 editions published between 1974 and 1978 in French and held by 147 WorldCat member libraries worldwide
16 editions published between 1974 and 1978 in French and held by 147 WorldCat member libraries worldwide
Mathematische Theorie optimaler Prozesse : mit 25 Tabellen by
L. S Pontri︠a︡gin(
Book
)
17 editions published between 1964 and 1979 in 3 languages and held by 137 WorldCat member libraries worldwide
17 editions published between 1964 and 1979 in 3 languages and held by 137 WorldCat member libraries worldwide
Gewöhnliche Differentialgleichungen by
L. S Pontri︠a︡gin(
Book
)
12 editions published between 1962 and 1965 in German and held by 133 WorldCat member libraries worldwide
12 editions published between 1962 and 1965 in German and held by 133 WorldCat member libraries worldwide
L.S. Pontryagin selected works by
L. S Pontri︠a︡gin(
Book
)
7 editions published in 1986 in English and held by 106 WorldCat member libraries worldwide
7 editions published in 1986 in English and held by 106 WorldCat member libraries worldwide
A course in ordinary differential equations by
L. S Pontri︠a︡gin(
Book
)
8 editions published in 1967 in English and Undetermined and held by 78 WorldCat member libraries worldwide
8 editions published in 1967 in English and Undetermined and held by 78 WorldCat member libraries worldwide
Obyknovennye different︠s︡ialʹnye uravnenii︠a︡. Dopushcheno v kachestve uchebnika dli︠a︡ gos. universitetov by
L. S Pontri︠a︡gin(
Book
)
16 editions published between 1961 and 1982 in Russian and Chinese and held by 73 WorldCat member libraries worldwide
16 editions published between 1961 and 1982 in Russian and Chinese and held by 73 WorldCat member libraries worldwide
Algebra, topology, differential equations and their applications : collected papers dedicated to the 90th birthday of academician
Lev Semenovich Pontryagin by
E. F Mishchenko(
Book
)
6 editions published in 1999 in English and held by 73 WorldCat member libraries worldwide
6 editions published in 1999 in English and held by 73 WorldCat member libraries worldwide
Topologische Gruppen by
L. S Pontri︠a︡gin(
Book
)
5 editions published in 1957 in German and held by 67 WorldCat member libraries worldwide
5 editions published in 1957 in German and held by 67 WorldCat member libraries worldwide
Algebraic and differential topology by
L. S Pontri︠a︡gin(
Book
)
1 edition published in 1986 in English and held by 58 WorldCat member libraries worldwide
1 edition published in 1986 in English and held by 58 WorldCat member libraries worldwide
Topologische Gruppen by
L. S Pontri︠a︡gin(
Book
)
5 editions published in 1958 in German and Undetermined and held by 55 WorldCat member libraries worldwide
5 editions published in 1958 in German and Undetermined and held by 55 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Gamkrelidze, R. V. Other Contributor Editor
 Lehmer, Emma 19062007 Translator
 Arkhangelʹskiĭ, A. V. Author Editor
 Logunov, A. A. (Anatoliĭ Alekseevich) Author Editor
 Boltânskij, Vladimir Grigorʹevič (1925 ...) Author Contributor
 Miŝenko, Evgenij Frolovič (1922 ...) Editor Author Contributor
 Nikolʹskiĭ, S. M. (Sergeĭ Mikhaĭlovich) 19052012 Honoree
 Neustadt, Lucien W. Editor
 Der Mégréditchian, Guy (19331991?) Translator
 Trirogoff, K. N. Translator
Useful Links
Associated Subjects
Algebra Algebraic topology Algebras, Linear Approximation theory Calculus, Operational Combinatorial topology Continuous groups Control theory Coordinates Differential equations Differential games Differential topology Dimension theory (Topology) Einstein, Albert, Freud, Sigmund, Functional analysis Functions Game theory Geometry Global analysis (Mathematics) Group theory Jewish scientists Landau, L. D.(Lev Davidovich), Mathematical analysis Mathematical optimization Mathematicians Mathematics Maxima and minima Nikolʹskiĭ, S. M.(Sergeĭ Mikhaĭlovich), Pontri︠a︡gin, L. S.(Lev Semenovich), Russia (Federation) Scientists Soviet Union Stability Topological groups Topology
Alternative Names
Lav Pontrjagin
Lev Pontriaguine mathématicien russe
Lev Pontrjagin
Lev Pontryagin Russian mathematician
Lev Pontryagin Russisch wiskundige (19081988)
Lev Pontryagin Soviet mathematician
Lev Semenovich Pontryagin
Lev Semenovich Pontryagin matemático ruso
Lev Semionovič Pontriagin
Lev Semjonovič Pontrjagin
Lew Pontriagin matematyk rosyjski
Lew Semjonowitsch Pontrjagin russischer Mathematiker
Pontrâgin, L.
Pontrâgin, L. S.
Pontrâgin, Lev S.
Pontri︠a︡gin, L. S.
Pontri︠a︡gin, L.S. 19081988
Pontri︠a︡gin, L. S. (Lev Semenovich)
Pontriagin, L. S. (Lev Semenovich), 19081988
Pontriagin, Lev S. 19081988
Pontriagin Lev Semenovich
Pontriâgin, Lev Semenovich 1908
Pontri︠a︡gin, Lev Semenovich 19081988
Pontriagin, Lew.
Pontriaguin, L. S.
Pontriaguin, L.S. 19081988
Pontriaguine, L.
Pontriaguine, L. 19081988
Pontriaguine, Lev
Pontriaguine Lev Semenovitch 1908....
Pontrjagin, L.
Pontrjagin, L. 19081988
Pontrjagin, L. S.
Pontrjagin, L. S. 1908
Pontrjagin, L.S. 19081988
Pontrjagin, Leon 19081988
Pontrjagin, Lev S.
Pontrjagin, Lev S. 1908
Pontrjagin, Lev S. 19081988
Pontrjagin Lev Semenovic̆
Pontrjagin, Lev Semenovič 19081988
Pontrjagin, Lev Semenovič. [t]
Pontrjagin, Lev Semenovitch 19081988
Pontrjagin, Lev Semjonowitsch 19081988
Pontrjagin, Lew S. 19081988
Pontrjagin, Lew Semjonowitsch 19081988
Pontryagin, L.S
Pontryagin, L. S. 1908
Pontryagin, L.S. 19081988
Pontryagin, L. S. (Lev Semenovich), 19081988
Pontryagin, Lev S. 19081988
Pontryagin, Lev Semenovič 19081988
Pontryagin, Lev Semenovich
Pontryagin, Lev Semenovich 19081988
Pontryagin, Lev Semyonovich
Лав Понтрјагин
Лев Семёнович Понтрягин
Понтрягин, Л.С 19081988
Понтрягин, Л. С. (Лев Семенович)
Понтрягин, Л. С. (Лев Семенович), 19081988
Понтрягин, Лев Семенович.
Понтрягин, Лев Семенович 19081988
Понтрягін Лев Семенович
Լև Պոնտրյագին
ليف بونترياغين
레프 폰트랴긴
ポントリャーギン
ポントリャーギン, L. S.
ポントリャーギン, Л. С
レフ・ポントリャーギン
列夫·庞特里亚金
Languages
English
(303)
Russian (95)
German (62)
French (51)
Spanish (7)
Italian (4)
Chinese (3)
Polish (1)
Greek, Modern (1)
Russian (95)
German (62)
French (51)
Spanish (7)
Italian (4)
Chinese (3)
Polish (1)
Greek, Modern (1)
Covers