omitir hasta el contenido
Contributions to the founding of the theory of transfinite numbers. Ver este material de antemano
CerrarVer este material de antemano

Contributions to the founding of the theory of transfinite numbers.

Autor: Georg Cantor
Editorial: New York : Dover Publications, [1952?]
Edición/Formato:   Libro impreso : Inglés (eng)Ver todas las ediciones y todos los formatos
Resumen:
One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics  Leer más
Calificación:

(todavía no calificado) 0 con reseñas - Ser el primero.

Temas
Más materiales como éste

 

Encontrar un ejemplar en la biblioteca

&AllPage.SpinnerRetrieving; Encontrando bibliotecas que tienen este material…

Detalles

Tipo de documento Libro
Todos autores / colaboradores: Georg Cantor
Número OCLC: 552494
Notas: Translation of two memoirs which appeared in the Mathematische Annalen for 1896 and 1897 under the title: "Beiträge sur Begründung der transfiniten Mengeniehrs."
"Unabridged and unaltered reprint of the English translation originally published in 1915." -- Title page verso.
Descripción: xi, 211 pages : portrait ; 21 cm
Otros títulos: Beiträge zur Begründung der transfiniten Mengenlehre.
Transfinite numbers
Responsabilidad: Translated, and provided with an introd. and notes, by Philip E.B. Jourdain.

Resumen:

One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs. Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "cardinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the ordinal types of simply ordered aggretates, operations on ordinal types, the ordinal types of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers. -- from back cover.

Reseñas

Reseñas contribuidas por usuarios
Recuperando reseñas de GoodReads…
Recuperando reseñas de DOGObooks…

Etiquetas

Ser el primero.

Materiales similares

Tema(s):(2)

Listas de usuarios con este material (1)

Confirmar este pedido

Ya ha pedido este material. Escoja OK si desea procesar el pedido de todos modos.

Datos enlazados


Primary Entity

<http://www.worldcat.org/oclc/552494> # Contributions to the founding of the theory of transfinite numbers.
    a schema:Book, schema:CreativeWork ;
   bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/552494#CreativeWork/unidentifiedOriginalWork> ; # Beiträge zur Begründung der transfiniten Mengenlehre.
   library:oclcnum "552494" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://id.worldcat.org/fast/1113587> ; # Set theory
   schema:about <http://dewey.info/class/512.7/> ;
   schema:about <http://id.worldcat.org/fast/1154650> ; # Transfinite numbers
   schema:alternateName "Transfinite numbers" ;
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://viaf.org/viaf/39412881> ; # Georg Cantor
   schema:datePublished "1952" ;
   schema:description "One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs. Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "cardinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the ordinal types of simply ordered aggretates, operations on ordinal types, the ordinal types of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers. -- from back cover."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1600602> ; # Beiträge zur Begründung der transfiniten Mengenlehre.
   schema:inLanguage "en" ;
   schema:name "Contributions to the founding of the theory of transfinite numbers."@en ;
   schema:productID "552494" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/552494#PublicationEvent/new_york_dover_publications_1952> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1600602#Agent/dover_publications> ; # Dover Publications
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/552494> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/1600602#Agent/dover_publications> # Dover Publications
    a bgn:Agent ;
   schema:name "Dover Publications" ;
    .

<http://id.worldcat.org/fast/1113587> # Set theory
    a schema:Intangible ;
   schema:name "Set theory"@en ;
    .

<http://id.worldcat.org/fast/1154650> # Transfinite numbers
    a schema:Intangible ;
   schema:name "Transfinite numbers"@en ;
    .

<http://viaf.org/viaf/39412881> # Georg Cantor
    a schema:Person ;
   schema:birthDate "1845" ;
   schema:deathDate "1918" ;
   schema:familyName "Cantor" ;
   schema:givenName "Georg" ;
   schema:name "Georg Cantor" ;
    .

<http://worldcat.org/entity/work/id/1600602> # Beiträge zur Begründung der transfiniten Mengenlehre.
   schema:name "Beiträge zur Begründung der transfiniten Mengenlehre." ;
    .

<http://www.worldcat.org/title/-/oclc/552494#CreativeWork/unidentifiedOriginalWork> # Beiträge zur Begründung der transfiniten Mengenlehre.
    a schema:CreativeWork ;
   schema:inLanguage "de" ;
   schema:name "Beiträge zur Begründung der transfiniten Mengenlehre." ;
    .


Content-negotiable representations

Cerrar ventana

Inicie una sesión con WorldCat 

¿No tienes una cuenta? Puede fácilmente crear una cuenta gratuita.