"함수"의 두 판 사이의 차이

수학노트
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Early attempts to define a function were made by James Gregory (1687), Euler (1748), and, later in the 18th century, by La Croix, Lagrange, and d'Alembert. All<br> these attempts were intuitive, rough-and-readayf fairsa nd none gained acceptance.<br> Fourier and Cauchy, both around 1820, offered improved versions; finally Dirichlet in 1837 identifiedt he essentialp ropertyo f uniqueness": y is a functiono f x when to each<br> valueo f x in a given intervalt herec orrespondas unique value of y" [5, p. 950].<br> This is not quite the end of the story,o f course;i n time it became apparentt.
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Early attempts to define a function were made by James Gregory (1687), Euler (1748), and, later in the 18th century, by La Croix, Lagrange, and d'Alembert.
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All these attempts were intuitive, rough-and-readt affairs and none gained acceptance.<br> Fourier and Cauchy, both around 1820, offered improved versions;
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finally Dirichlet in 1837 identified the essential property of uniqueness": y is a function of x when to each value of x in a given interval there correspond as unique value of y".<br> This is not quite the end of the story, of course;in time it became apparentt.
  
 
* '''[Atkinson2002]'''
 
* '''[Atkinson2002]'''
62번째 줄: 66번째 줄:
 
* [http://www.jstor.org/stable/3026878 A Brief History of Logarithms] R. C. Pierce, Jr., <cite>The Two-Year College Mathematics Journal</cite>, Vol. 8, No. 1 (Jan., 1977), pp. 22-26
 
* [http://www.jstor.org/stable/3026878 A Brief History of Logarithms] R. C. Pierce, Jr., <cite>The Two-Year College Mathematics Journal</cite>, Vol. 8, No. 1 (Jan., 1977), pp. 22-26
 
* [http://www.jstor.org/stable/2973509 History of the Exponential and Logarithmic Concepts] Florian Cajori, <cite>The American Mathematical Monthly</cite>, Vol. 20, No. 1 (Jan., 1913), pp. 5-14
 
* [http://www.jstor.org/stable/2973509 History of the Exponential and Logarithmic Concepts] Florian Cajori, <cite>The American Mathematical Monthly</cite>, Vol. 20, No. 1 (Jan., 1913), pp. 5-14
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2011년 11월 6일 (일) 10:16 판

이 항목의 수학노트 원문주소

 

 

개요
  • 함수와 관련된 기본적인 개념과 수학에서 가장 기본적인 함수 몇가지를 배움.

 

 

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중요한 함수의 예

 

 

 

메모

Early attempts to define a function were made by James Gregory (1687), Euler (1748), and, later in the 18th century, by La Croix, Lagrange, and d'Alembert.

All these attempts were intuitive, rough-and-readt affairs and none gained acceptance.
Fourier and Cauchy, both around 1820, offered improved versions;

finally Dirichlet in 1837 identified the essential property of uniqueness": y is a function of x when to each value of x in a given interval there correspond as unique value of y".
This is not quite the end of the story, of course;in time it became apparentt.

  • [Atkinson2002]

 

 

관련논문

 

 

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