跳至内容
Contributions to the founding of the theory of transfinite numbers 線上預覽
關閉線上預覽
正在查...

Contributions to the founding of the theory of transfinite numbers

作者: Georg Cantor
出版商: New York : Dover Publications, 1955.
版本/格式:   打印圖書 : 英語 : Dover ed所有版本和格式的總覽
提要:
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  再讀一些...
評定級別:

(尚未評分) 0 附有評論 - 成爲第一個。

主題
更多類似這樣的

 

在圖書館查詢

&AllPage.SpinnerRetrieving; 正在查詢有此資料的圖書館...

詳細書目

文件類型 圖書
所有的作者/貢獻者: Georg Cantor
ISBN: 0486600459 9780486600451
OCLC系統控制編碼: 552492
註釋: 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.
描述: 211 pages ; 21 cm
其他題名: Beiträge zur Begründung der transfiniten Mengenlehre.
責任: by Georg Cantor ; translated, and provided with an introduction and notes, by Philip E.B. Jourdain.

摘要:

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.

評論

讀者提供的評論
正在擷取GoodReads評論...
正在擷取DOGObooks的評論

標籤

成爲第一個
確認申請

你可能已經申請過這份資料。若還是想申請,請選確認。

連結資料


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

關閉視窗

請登入WorldCat 

没有帳號嗎?你可很容易的 建立免費的帳號.