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

Verfasser/in: Georg Cantor
Herausgeber: New York : Dover Publications, 1955.
Ausgabe/Format   Gedrucktes Buch : Englisch : Dover edAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
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 Erste eine Rezension.

Themen
Ähnliche Titel

 

Exemplar ausleihen

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

Details

Dokumenttyp Buch
Alle Autoren: Georg Cantor
ISBN: 0486600459 9780486600451
OCLC-Nummer: 552492
Anmerkungen: Translation of Beiträge zur Begründung der transfiniten Mengenlehre, two memoirs which appeared in the Mathematische Annalen for 1895 and 1897.
"Unabridged and unaltered republication of the English translation originally published in 1915 by the Open Court Publishing Company"--Title page verso.
Beschreibung: 211 pages ; 21 cm
Andere Titel Beiträge zur Begründung der transfiniten Mengenlehre.
Verfasserangabe: by Georg Cantor ; translated, and provided with an introduction 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…

Tags

Tragen Sie als Erste Tags ein.
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/552492> # Contributions to the founding of the theory of transfinite numbers
    a schema:Book, schema:CreativeWork ;
   bgn:translationOfWork <http://www.worldcat.org/title/-/oclc/552492#CreativeWork/unidentifiedOriginalWork> ; # Beiträge zur Begründung der transfiniten Mengenlehre.
   library:oclcnum "552492" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://dewey.info/class/511.3/> ;
   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/nombres_transfinis> ; # Nombres transfinis
   schema:about <http://id.worldcat.org/fast/1113587> ; # Set theory
   schema:about <http://experiment.worldcat.org/entity/work/data/1600602#Topic/kardinaalgetallen> ; # Kardinaalgetallen
   schema:about <http://experiment.worldcat.org/entity/work/data/1600602#Topic/ensembles_theorie_des> ; # Ensembles, théorie des
   schema:about <http://id.worldcat.org/fast/1154650> ; # Transfinite numbers
   schema:about <http://experiment.worldcat.org/entity/work/data/1600602#Topic/transfinite_zahl> ; # Transfinite Zahl
   schema:about <http://experiment.worldcat.org/entity/work/data/1600602#Topic/transfiniete_getallen> ; # Transfiniete getallen
   schema:about <http://experiment.worldcat.org/entity/work/data/1600602#Topic/verzamelingen_wiskunde> ; # Verzamelingen (wiskunde)
   schema:bookEdition "Dover ed." ;
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://viaf.org/viaf/39412881> ; # Georg Cantor
   schema:datePublished "1955" ;
   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 "552492" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/552492#PublicationEvent/new_york_dover_publications_1955> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1600602#Agent/dover_publications> ; # Dover Publications
   schema:workExample <http://worldcat.org/isbn/9780486600451> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/552492> ;
    .


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/ensembles_theorie_des> # Ensembles, théorie des
    a schema:Intangible ;
   schema:name "Ensembles, théorie des"@en ;
   schema:name "Ensembles, Théorie des"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/1600602#Topic/nombres_transfinis> # Nombres transfinis
    a schema:Intangible ;
   schema:name "Nombres transfinis"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1600602#Topic/transfiniete_getallen> # Transfiniete getallen
    a schema:Intangible ;
   schema:name "Transfiniete getallen"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/1600602#Topic/verzamelingen_wiskunde> # Verzamelingen (wiskunde)
    a schema:Intangible ;
   schema:name "Verzamelingen (wiskunde)"@en ;
    .

<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://worldcat.org/isbn/9780486600451>
    a schema:ProductModel ;
   schema:isbn "0486600459" ;
   schema:isbn "9780486600451" ;
    .

<http://www.worldcat.org/title/-/oclc/552492#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,.