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
.
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 settheoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the settheoretical 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 settheoretical 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 settheoretical 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
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 settheoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the settheoretical 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 settheoretical 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 settheoretical 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 settheoretical. Boolean algebras can be considered as a special kind of algebraic rings, or as a generalization of the settheoretical 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 settheoretical 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 Settheoretical 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
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 settheoretical. Boolean algebras can be considered as a special kind of algebraic rings, or as a generalization of the settheoretical 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 settheoretical 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 Settheoretical 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
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
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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Related Identities
 Mikusiński, Jan Other Author
 Rasiowa, Helena Author
 Antosik, Piotr Author
 Kuratowski, Casimir Author
 Mostowski, Andrzej Editor
 Klarsfeld, S. Translator
 Diego, Antonio Editor
 Širokov, Feliks Vladimirovič (1927 ).
 Miŝenko, Aleksandr Sergeevič (1941 ).
 Universidad Nacional del Sur (Bahia Blanca, RA) Instituto de Matematica
Useful Links
Associated Subjects
Algebra, Boolean Calculus Computer science Functional analysis Functions of complex variables Functions of real variables Functions of several real variables Geometry, Differential Logic, Symbolic and mathematical Mathematics MathematicsPhilosophy Metamathematics Theory of distributions (Functional analysis)
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 (19201983)
Sikorski, R.
Sikorski, Roman
Sikorskiĭ, R.
Sikorskij, R.
Sikorskij, R. 19201983
Сикорский, Р.
Сикорский, Р 19201983
Сикорский, Р. (Роман), 19201983
Сикорский, Роман
Languages