WorldCat Identities

Sikorski, Roman

Overview
Works: 97 works in 388 publications in 9 languages and 3,460 library holdings
Roles: Author, Editor, Other, Redactor, Contributor
Classifications: QA266, 512.89
Publication Timeline
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Most widely held works by Roman Sikorski
Boolean algebras by Roman Sikorski( Book )

71 editions published between 1960 and 2012 in 5 languages and held by 1,349 WorldCat member libraries worldwide

There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the develop­ ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [1]. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know­ ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs
The mathematics of metamathematics by Helena Rasiowa( Book )

55 editions published between 1963 and 1970 in 3 languages and held by 568 WorldCat member libraries worldwide

Theory of distributions; the sequential approach by Piotr Antosik( Book )

15 editions published in 1973 in English and Dutch and held by 440 WorldCat member libraries worldwide

Advanced calculus : Functions of several variables by Roman Sikorski( Book )

28 editions published in 1969 in 4 languages and held by 348 WorldCat member libraries worldwide

Théorie élémentaire des distributions by Jan Mikusiński( Book )

13 editions published in 1964 in 3 languages and held by 201 WorldCat member libraries worldwide

Funkcje rzeczywiste by Roman Sikorski( Book )

in Polish and Undetermined and held by 76 WorldCat member libraries worldwide

The elementary theory of distributions by Jan Mikusiński( Book )

7 editions published between 1957 and 1961 in English and held by 55 WorldCat member libraries worldwide

Teorías matemáticas formalizadas by Roman Sikorski( Book )

14 editions published between 1960 and 1968 in 3 languages and held by 44 WorldCat member libraries worldwide

Algebras de Boole by Roman Sikorski( Book )

11 editions published between 1960 and 1968 in 4 languages and held by 43 WorldCat member libraries worldwide

Rachunek rózniczkowy i całkowy; funkcje wielu zmiennych by Roman Sikorski( Book )

14 editions published between 1967 and 1988 in Polish and held by 39 WorldCat member libraries worldwide

Topologie by Kazimierz Kuratowski( Book )

3 editions published in 1958 in French and Polish and held by 37 WorldCat member libraries worldwide

Wste̜p do geometrii różniczkowej by Roman Sikorski( Book )

6 editions published in 1972 in Polish and held by 31 WorldCat member libraries worldwide

The elementary theory of distributions by Jan Mikusiński( Book )

9 editions published in 1961 in English and held by 24 WorldCat member libraries worldwide

The elementary theory of distributions by Jan Mikusiński( Book )

10 editions published between 1957 and 1961 in English and held by 17 WorldCat member libraries worldwide

Teorija obobščennych funkcij sekvencial'nyj podchod by Piotr Antosik( Book )

4 editions published in 1976 in Russian and held by 12 WorldCat member libraries worldwide

Matematika metamatematiki by Helena Rasiowa( Book )

6 editions published in 1972 in Russian and held by 12 WorldCat member libraries worldwide

Elementarna teoria dystrybucji by Jan Mikusiński( Book )

5 editions published between 1961 and 1964 in Polish and Undetermined and held by 10 WorldCat member libraries worldwide

Boolean Algebras Reihe: Reelle Funktionen by Roman Sikorski( )

2 editions published between 1960 and 2013 in English and held by 9 WorldCat member libraries worldwide

There are two aspects in the theory of Boolean algebras: algebraic and set-theoretical. Boolean algebras can be considered as a special kind of algebraic rings, or as a generalization of the set-theoretical notion of field of sets. Fundamental theorems in the both directions are due to M.H. STONE whose papers have opened a new period in the development of the theory. This work treats of the set-theoretical aspect, the algebraic one being scarcely mentioned. The book is composed of two Chapters and an Appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only. A greater part of its contents can be found also in the books of BIRKHOFF [2J and HERMES [1 J. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters land II it suffices to know only fundamental notions from General Set Theory and Set-theoretical Topology. No knowledge of Lattice Theory or Abstract Algebra is supposed. Less known topological theorems are recalled. Only a few examples use more advanced topological means but they can be omitted. All theorems in both Chapters are given with full proofs. On the contrary, no complete proofs are given in the Appendix which contains mainly a short exposition of applications of Boolean algebras to other parts of Mathematics with references to the literature. An elementary knowledge of discussed theories is supposed
Funkcje rzeczywiste by Roman Sikorski( Book )

5 editions published in 1958 in Polish and Undetermined and held by 8 WorldCat member libraries worldwide

Funkcje rzeczywiste by Roman Sikorski( Book )

4 editions published in 1959 in Polish and Undetermined and held by 8 WorldCat member libraries worldwide

 
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Audience Level
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Audience level: 0.67 (from 0.61 for Boolean al ... to 0.95 for Funkcje rz ...)

Alternative Names
Roman Sikorski matematician polonez

Roman Sikorski matemático polaco

Roman Sikorski Polish mathematician

Roman Sikorski polnischer Mathematiker

Roman Sikorski polsk matematikar

Roman Sikorski polsk matematiker

Roman Sikorski Pools wiskundige (1920-1983)

Sikorski, R.

Sikorski, Roman

Sikorskiĭ, R.

Sikorskij, R.

Sikorskij, R. 1920-1983

Сикорский, Р.

Сикорский, Р 1920-1983

Сикорский, Р. (Роман), 1920-1983

Сикорский, Роман

Languages
English (177)

Polish (35)

Spanish (17)

Russian (16)

French (13)

Portuguese (5)

German (4)

Italian (3)

Dutch (1)