Kreĭn, S. G. (Selim Grigorʹevich) 1917
Overview
Works:  46 works in 168 publications in 4 languages and 1,833 library holdings 

Roles:  Author, Editor, Honoree 
Classifications:  QA320, 516.56 
Publication Timeline
.
Most widely held works by
S. G Kreĭn
Linear differential equations in Banach space by
S. G Kreĭn(
Book
)
19 editions published between 1971 and 2011 in English and held by 413 WorldCat member libraries worldwide
19 editions published between 1971 and 2011 in English and held by 413 WorldCat member libraries worldwide
Functional analysis by
Frigyes Riesz(
Book
)
28 editions published between 1964 and 1979 in 3 languages and held by 371 WorldCat member libraries worldwide
This issue in a series of Handbooks of the Mathematical Library contains much material grouped basically around the theory of operators and operator equations. It presents the basic concepts and methods of functional analysis, theory of operators in Hilbert space and in conical space, the theory of nonlinear operator equations, the theory of standard rings applied to equations in partial derivatives, to integral equations. A separate chapter is devoted to the basic operator of quantum mechanics. Citing of the theory of generalized functions takes up a large part of the book. The book explains mathematical facts; theorems and formulas, as a rule, are given without proofs
28 editions published between 1964 and 1979 in 3 languages and held by 371 WorldCat member libraries worldwide
This issue in a series of Handbooks of the Mathematical Library contains much material grouped basically around the theory of operators and operator equations. It presents the basic concepts and methods of functional analysis, theory of operators in Hilbert space and in conical space, the theory of nonlinear operator equations, the theory of standard rings applied to equations in partial derivatives, to integral equations. A separate chapter is devoted to the basic operator of quantum mechanics. Citing of the theory of generalized functions takes up a large part of the book. The book explains mathematical facts; theorems and formulas, as a rule, are given without proofs
Interpolation of linear operators by
S. G Kreĭn(
Book
)
17 editions published between 1980 and 2002 in English and held by 345 WorldCat member libraries worldwide
17 editions published between 1980 and 2002 in English and held by 345 WorldCat member libraries worldwide
Voronezh winter mathematical schools : dedicated to Selim Krein by
Peter Kuchment(
Book
)
5 editions published in 1998 in English and held by 189 WorldCat member libraries worldwide
5 editions published in 1998 in English and held by 189 WorldCat member libraries worldwide
Operator approach to linear problems of hydrodynamics by
N. D Kopachevskiĭ(
Book
)
in English and held by 95 WorldCat member libraries worldwide
in English and held by 95 WorldCat member libraries worldwide
Vorkurs zur Analysis by
S. G Kreĭn(
Book
)
12 editions published in 1966 in German and held by 63 WorldCat member libraries worldwide
12 editions published in 1966 in German and held by 63 WorldCat member libraries worldwide
Vorstufen zur höheren Mathematik; Lehrbuch für Studierende aller Fachrichtungen im 1. und 2. Semester by
S. G Kreĭn(
Book
)
10 editions published between 1963 and 1968 in 3 languages and held by 60 WorldCat member libraries worldwide
Das vorliegende Buch wurde auf Grund der Vorlesungen Uber höhere Mathematik geschrieben, die der eine der Verfasser mehrere Jahre am In stitut fUr Erzbergbau in Krivoi Rog und am Institut fUr Holzverarbeitungs technik in Woronesh gehalten hat. Es ist allgemein bekannt, daß der Studierende beim Studium des Lehr stoffes der h~heren Mathematik auf viele Schwierigkeiten st~ßt. Insbesonde re ist der erste Teil der mathematischen Analysis, der die Lehre von den Grenzwerten und die Differentialrechnung umfaßt, sehr schwer zu erlernen. Diese Schwierigkeiten erklären sich einerseits durch die FUlle neuer Be griffe und Methoden, andererseits aber unserer Meinung nach durch Unzu länglichkeiten im Aufbau des Lehrstoffes. Hauptsächlich scheint es allgemein unklar zu sein, was der eigentliche Gegenstand der Untersuchungen ist. Es entsteht der Eindruck, daß das Studium der logischen Wechselbeziehungen zwischen den verschiedenen neuen Begriffen von gr~ßter Bedeutung ist. Nach unserer Ansicht wird der Hauptinhalt eines beliebigen Lehrganges nicht durch die AllgemeingUltigkeit der eingefUhrten Begriffe und Sätze, sondern durch die Auswahl der Beispiele und Anwendungen bestimmt, die im Lehrgang selbst, in den Übungen, und in Nachbarvorlesungen betrachtet werden. Man kann die Darlegung des Zahlenbegriffes sowie der Begriffe Funktion, Grenzwert usw. immer allgemeiner behandeln. Wenn man jedoch dabei den Kreis der Aufgaben nicht verändert, die in den Vorlesungen, Übungen und den parallelen Lehrgängen gelöst werden, dann entsteht ein Riß zwischen der Methode der Darlegung und dem behandelten Stoff
10 editions published between 1963 and 1968 in 3 languages and held by 60 WorldCat member libraries worldwide
Das vorliegende Buch wurde auf Grund der Vorlesungen Uber höhere Mathematik geschrieben, die der eine der Verfasser mehrere Jahre am In stitut fUr Erzbergbau in Krivoi Rog und am Institut fUr Holzverarbeitungs technik in Woronesh gehalten hat. Es ist allgemein bekannt, daß der Studierende beim Studium des Lehr stoffes der h~heren Mathematik auf viele Schwierigkeiten st~ßt. Insbesonde re ist der erste Teil der mathematischen Analysis, der die Lehre von den Grenzwerten und die Differentialrechnung umfaßt, sehr schwer zu erlernen. Diese Schwierigkeiten erklären sich einerseits durch die FUlle neuer Be griffe und Methoden, andererseits aber unserer Meinung nach durch Unzu länglichkeiten im Aufbau des Lehrstoffes. Hauptsächlich scheint es allgemein unklar zu sein, was der eigentliche Gegenstand der Untersuchungen ist. Es entsteht der Eindruck, daß das Studium der logischen Wechselbeziehungen zwischen den verschiedenen neuen Begriffen von gr~ßter Bedeutung ist. Nach unserer Ansicht wird der Hauptinhalt eines beliebigen Lehrganges nicht durch die AllgemeingUltigkeit der eingefUhrten Begriffe und Sätze, sondern durch die Auswahl der Beispiele und Anwendungen bestimmt, die im Lehrgang selbst, in den Übungen, und in Nachbarvorlesungen betrachtet werden. Man kann die Darlegung des Zahlenbegriffes sowie der Begriffe Funktion, Grenzwert usw. immer allgemeiner behandeln. Wenn man jedoch dabei den Kreis der Aufgaben nicht verändert, die in den Vorlesungen, Übungen und den parallelen Lehrgängen gelöst werden, dann entsteht ein Riß zwischen der Methode der Darlegung und dem behandelten Stoff
Interpoli︠a︡t︠s︡ii︠a︡ lineĭnykh operatorov by
S. G Kreĭn(
Book
)
2 editions published in 1978 in Russian and held by 24 WorldCat member libraries worldwide
2 editions published in 1978 in Russian and held by 24 WorldCat member libraries worldwide
Matematicheskiĭ analiz ėlementarnykh funkt︠s︡iĭ by
S. G Kreĭn(
Book
)
10 editions published between 1963 and 1980 in Russian and held by 23 WorldCat member libraries worldwide
10 editions published between 1963 and 1980 in Russian and held by 23 WorldCat member libraries worldwide
Interpoljacija linejnych operatorov by
S. G Kreĭn(
Book
)
6 editions published in 1978 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
6 editions published in 1978 in Russian and Undetermined and held by 16 WorldCat member libraries worldwide
Operator approach to linear problems of hydrodynamics by
N. D Kopachevskiĭ(
Book
)
9 editions published between 2001 and 2003 in English and held by 15 WorldCat member libraries worldwide
This is the second volume of a set of two devoted to the operator approach to linear problems in hydrodynamics (Volume 1: 3764354062). It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work relies on the authors' and their students' works of the last 3040 years. The readers are not supposed to be familiar with the methods of functional analysis. The second part of the present volume collects nonselfadjoint problems on small motions and normal oscillations of a viscous fluid filling a bounded region. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems
9 editions published between 2001 and 2003 in English and held by 15 WorldCat member libraries worldwide
This is the second volume of a set of two devoted to the operator approach to linear problems in hydrodynamics (Volume 1: 3764354062). It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work relies on the authors' and their students' works of the last 3040 years. The readers are not supposed to be familiar with the methods of functional analysis. The second part of the present volume collects nonselfadjoint problems on small motions and normal oscillations of a viscous fluid filling a bounded region. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems
Selfadjoint problems for an ideal fluid by
N. D Kopachevskiĭ(
Book
)
2 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 2001 in English and held by 13 WorldCat member libraries worldwide
Operator approach to linear problems of hydrodynamics by
N. D Kopachevskiĭ(
Book
)
7 editions published in 2001 in English and held by 11 WorldCat member libraries worldwide
This is the first volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work is a sequel to and at the same time substantially extends the volume "Operator Methods in Linear Hydrodynamics: Evolution and Spectral Problems" by N.D. Kopachevsky, S.G. Krein and Ngo Zuy Kan, published in 1989 by Nauka in Moscow. It includes several new problems on the oscillations of partially dissipative hydrosystems and the oscillations of viscoelastic or relaxing fluids. The work relies on the authors' and their students' works of the last 3040 years. The readers are not supposed to be familiar with the methods of functional analysis. In the first part of the present volume, the main facts of linear operator theory relevant to linearized problems of hydrodynamics are summarized, including elements of the theories of distributions, selfadjoint operators in Hilbert spaces and in spaces with an indefinite metric, evolution equations and asymptotic methods for their solutions, the spectral theory of operator pencils. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems
7 editions published in 2001 in English and held by 11 WorldCat member libraries worldwide
This is the first volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work is a sequel to and at the same time substantially extends the volume "Operator Methods in Linear Hydrodynamics: Evolution and Spectral Problems" by N.D. Kopachevsky, S.G. Krein and Ngo Zuy Kan, published in 1989 by Nauka in Moscow. It includes several new problems on the oscillations of partially dissipative hydrosystems and the oscillations of viscoelastic or relaxing fluids. The work relies on the authors' and their students' works of the last 3040 years. The readers are not supposed to be familiar with the methods of functional analysis. In the first part of the present volume, the main facts of linear operator theory relevant to linearized problems of hydrodynamics are summarized, including elements of the theories of distributions, selfadjoint operators in Hilbert spaces and in spaces with an indefinite metric, evolution equations and asymptotic methods for their solutions, the spectral theory of operator pencils. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems
Linejnye upravnenija v banachovom prostranstve by
Selim Grigor'evič Krejn(
Book
)
1 edition published in 1971 in Russian and held by 10 WorldCat member libraries worldwide
1 edition published in 1971 in Russian and held by 10 WorldCat member libraries worldwide
Linejnye differencial'nye uravenenija v banachovom prostranstve by
S. G Kreĭn(
Book
)
2 editions published in 1967 in Undetermined and held by 6 WorldCat member libraries worldwide
2 editions published in 1967 in Undetermined and held by 6 WorldCat member libraries worldwide
Prostranstva gladkikh ėlementov, porozhdennykh predstavleniem gruppy Li : interpoli︠a︡t︠s︡ii︠a︡ i priblizhenii︠a︡ by
S. G Kreĭn(
Book
)
2 editions published in 1990 in Russian and held by 6 WorldCat member libraries worldwide
2 editions published in 1990 in Russian and held by 6 WorldCat member libraries worldwide
Operator approach to linear problems of hydrodynamics by
N. D Kopachevskiĭ(
Book
)
2 editions published between 2001 and 2003 in English and held by 5 WorldCat member libraries worldwide
2 editions published between 2001 and 2003 in English and held by 5 WorldCat member libraries worldwide
Functional analyses [by] N. Ya. Vilenkin [and others]. Translated from the Russian by Richard E. Flaherty. English edition
edited by George F. Votruba, with the collaboration of Leo F. Boron. S.G. Krein (Editor) by
S. G Kreĭn(
Book
)
2 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1972 in English and held by 4 WorldCat member libraries worldwide
Analiza funkcjonalna(
Book
)
2 editions published in 1967 in Polish and held by 4 WorldCat member libraries worldwide
2 editions published in 1967 in Polish and held by 4 WorldCat member libraries worldwide
Nonselfadjoint problems for viscous fluids by
Nikolay D Kopachevsky(
Book
)
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Петунин, Юрий Иванович
 Семенов, Е. М (Евгений Михайлович)
 Vilenkin, N. I︠A︡ (Naum I︠A︡kovlevich)
 Votruba, George F. Editor
 Kopachevskiĭ, N. D. Author
 Lin, V. (Vladimir) Other Editor
 Kuchment, Peter 1949 Other Editor
 Khovanova, Tanya Translator
 Ušakova, Valentina N.
 Ushakova, V. N. (Valentina Nikolaevna)
Useful Links
Associated Subjects
Banach spaces Differential equations, Linear Differential equations, Partial Fluid dynamics Fluid dynamicsMathematical models Functional analysis Functions Functions of real variables Harmonic analysis Hilbert space Kreĭn, S. G.(Selim Grigorʹevich), Lie groups Linear operators Mathematical analysis Mathematics Operator theory Transformations (Mathematics)
Alternative Names
Krein, S. G.
Krein, S. G. 1917
Kreĭn, S. G. 19171999
Krein, Selim 1917
Krein, Selim G.
Krein, Selim G. 1917
Krein, Selim Gershkovich.
Kreĭn, Selim Gershkovich 1917
Kreĭn, Selim Grigorʹevich
Kreĭn, Selim Grigorʹevich 1917
Krein, Selim Grigorievich 1917
Krejn, S. G.
Krejn, S. G. 1917
Krejn, S. G. 19171999
Krejn, Selim Gerškovič.
Krejn, Selim Grigor'evič
Krejn, Selim Grigorʹevič 1917
Krejn, Selim Grigorʹevich 1917
Krejn, Selim Grigor'jevič 1917
Selim Grigorevitsj Kreyn Russisch wiskundige (19171999)
Selim Krejn
Selim Kreyn Russian mathematician
Крейн, Селим Григорьевич
Крейн Селім Григорович
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