Non-standard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using epsilon–delta procedures rather than infinitesimals. Non-standard analysis instead reformulates the calculus using a logically rigorous notion of infinitesimal numbers. Non-standard analysis was originated in the early 1960s by the mathematician Abraham Robinson. He wrote: Robinson continues:
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Non-standard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using epsilon–delta procedures rather than infinitesimals. Non-standard analysis instead reformulates the calculus using a logically rigorous notion of infinitesimal numbers. Non-standard analysis was originated in the early 1960s by the mathematician Abraham Robinson. He wrote: Robinson continues:
has abstract
Análise não padronizada é um r ...... intuitiva que a análise usual.
@pt
En mathématiques, et plus préc ...... llement depuis le XIXe siècle.
@fr
L'analisi non standard è una r ...... n-standard Analysis, del 1966.
@it
Nichtstandardanalysis ist ein ...... em Mitarbeiter Curt Schmieden.
@de
The history of calculus is fra ...... ortant mathematical research".
@en
Нестандартный анализ — альтерн ...... ме, станет анализом будущего».
@ru
超準解析（ちょうじゅんかいせき、Nonstandard an ...... 呼ばれるようになった。無限小解析と同一のものとも見なされる。
@ja
非標準分析（概念上又可稱為實無限分析）是一個數學分支，它用嚴格定義的無限小的數（infinitesimal number）的概念來構建分析學。
@zh
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comment
Análise não padronizada é um r ...... intuitiva que a análise usual.
@pt
En mathématiques, et plus préc ...... llement depuis le XIXe siècle.
@fr
L'analisi non standard è una r ...... n-standard Analysis, del 1966.
@it
Nichtstandardanalysis ist ein ...... em Mitarbeiter Curt Schmieden.
@de
The history of calculus is fra ...... He wrote: Robinson continues:
@en
Нестандартный анализ — альтерн ...... встречаются фразы вроде «пусть
@ru
超準解析（ちょうじゅんかいせき、Nonstandard an ...... 呼ばれるようになった。無限小解析と同一のものとも見なされる。
@ja
非標準分析（概念上又可稱為實無限分析）是一個數學分支，它用嚴格定義的無限小的數（infinitesimal number）的概念來構建分析學。
@zh
label
Analisi non standard
@it
Analyse non standard
@fr
Análise não padronizada
@pt
Nichtstandardanalysis
@de
Non-standard analysis
@en
Нестандартный анализ
@ru
超準解析
@ja
非标准分析
@zh
