zum Inhalt wechseln
Contributions to the founding of the theory of transfinite numbers. Titelvorschau
SchließenTitelvorschau
Prüfung…

Contributions to the founding of the theory of transfinite numbers.

Autor: Georg Cantor
Verlag: New York : Dover Publications, [1952?]
Ausgabe/Medienart   Gedrucktes Buch : EnglischAlle Ausgaben und Medienarten anzeigen
Zusammenfassung:
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  Weiterlesen…
Bewertung:

(noch nicht bewertet) 0 mit Rezensionen - Verfassen Sie als Erster eine Rezension.

Themen
Ähnliche Titel

 

Exemplar ausleihen

&AllPage.SpinnerRetrieving; Suche nach Bibliotheken, die diesen Titel besitzen ...

Details

Dokumenttyp Buch
Alle Autoren: Georg Cantor
OCLC-Nummer: 552494
Anmerkungen: 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.
Beschreibung: xi, 211 pages : portrait ; 21 cm
Andere Titel Beiträge zur Begründung der transfiniten Mengenlehre.
Transfinite numbers
Verfasserangabe: Translated, and provided with an introd. and notes, by Philip E.B. Jourdain.

Abstract:

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.

Rezensionen

Nutzer-Rezensionen
Suche nach GoodReads-Rezensionen
Suche nach DOGObooks-Rezensionen…

Schlagwörter

Tragen Sie als Erster Schlagwörter ein.

Ähnliche Titel

Fach/Fächer:(2)

Nutzerlisten mit diesen Titeln (1)

Anfrage bestätigen

Sie haben diesen Titel bereits angefordert. Wenn Sie trotzdem fortfahren möchten, klicken Sie auf OK.

Verlinkung


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://experiment.worldcat.org/entity/work/data/1600602#Topic/set_theory> ; # Set theory
    schema:about <http://experiment.worldcat.org/entity/work/data/1600602#Topic/transfinite_numbers> ; # Transfinite numbers
    schema:about <http://dewey.info/class/512.7/> ;
    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://experiment.worldcat.org/entity/work/data/1600602#Topic/transfinite_numbers> # 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

Fenster schließen

Bitte in WorldCat einloggen 

Sie haben kein Konto? Sie können sehr einfach ein kostenloses Konto anlegen,.