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59번째 줄: | 59번째 줄: | ||
<h5>메모</h5> | <h5>메모</h5> | ||
− | Early attempts to define a function were made by James Gregory (1687), Euler<br> (1748), and, later in the 18th century, by La Croix, Lagrange, and d'Alembert. All<br> these | + | Early attempts to define a function were made by James Gregory (1687), Euler<br> (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<br> 1837 identifiedt he essentialp ropertyo f uniqueness": y is a functiono f x whent o each<br> valueo f x in a given intervalt herec orrespondas uniquev alueo f y" [5, p. 950].<br> This is not quite the end of the story,o f course;i n time it became apparentt. |
+ | |||
+ | * '''[Atkinson2002]''' | ||
67번째 줄: | 69번째 줄: | ||
<h5>관련논문</h5> | <h5>관련논문</h5> | ||
− | * [http://www.jstor.org/stable/1558992 Where Do Functions Come from?]<br> | + | * '''[Atkinson2002]'''[http://www.jstor.org/stable/1558992 Where Do Functions Come from?]<br> |
** Leigh Atkinson, <cite>The College Mathematics Journal</cite>, Vol. 33, No. 2 (Mar., 2002), pp. 107-112 | ** Leigh Atkinson, <cite>The College Mathematics Journal</cite>, Vol. 33, No. 2 (Mar., 2002), pp. 107-112 | ||
2011년 11월 6일 (일) 09:30 판
간단한 요약
- 함수와 관련된 기본적인 개념과 수학에서 가장 기본적인 함수 몇가지를 배움.
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중요한 개념 및 정리
중요한 함수의 예
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관련된 개념 및 나중에 더 배우게 되는 것들
관련있는 다른 과목
관련된 대학교 수학
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-readayf fairsa nd none gained acceptance.
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 whent o each
valueo f x in a given intervalt herec orrespondas uniquev alueo f y" [5, p. 950].
This is not quite the end of the story,o f course;i n time it became apparentt.
- [Atkinson2002]
관련논문
- [Atkinson2002]Where Do Functions Come from?
- Leigh Atkinson, The College Mathematics Journal, Vol. 33, No. 2 (Mar., 2002), pp. 107-112
- Evolution of the Function Concept: A Brief Survey
- Israel Kleiner, The College Mathematics Journal, Vol. 20, No. 4 (Sep., 1989), pp. 282-300
- An Introduction to Logarithms
- F. G. Brown, The Mathematical Gazette, Vol. 11, No. 160 (Oct., 1922), pp. 164-166
- A Brief History of Logarithms
- R. C. Pierce, Jr., The Two-Year College Mathematics Journal, Vol. 8, No. 1 (Jan., 1977), pp. 22-26
- History of the Exponential and Logarithmic Concepts
- Florian Cajori, The American Mathematical Monthly, Vol. 20, No. 1 (Jan., 1913), pp. 5-14
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