"함수"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
Pythagoras0 (토론 | 기여) |
Pythagoras0 (토론 | 기여) |
||
| (같은 사용자의 중간 판 5개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
==개요== | ==개요== | ||
* 함수와 관련된 기본적인 개념과 수학에서 가장 기본적인 함수 몇가지를 배움. | * 함수와 관련된 기본적인 개념과 수학에서 가장 기본적인 함수 몇가지를 배움. | ||
| − | + | ||
| − | + | ||
==배우기 전에 알고 있어야 하는 것들== | ==배우기 전에 알고 있어야 하는 것들== | ||
| 17번째 줄: | 11번째 줄: | ||
* 기초적인 집합의 개념 | * 기초적인 집합의 개념 | ||
| − | + | ||
| − | + | ||
==중요한 개념 및 정리== | ==중요한 개념 및 정리== | ||
| 25번째 줄: | 19번째 줄: | ||
* [[일대일대응]] | * [[일대일대응]] | ||
| − | + | ||
| − | + | ||
==초등함수의 예== | ==초등함수의 예== | ||
| 38번째 줄: | 32번째 줄: | ||
* [[쌍곡함수]] | * [[쌍곡함수]] | ||
| − | + | ||
| − | + | ||
==메모== | ==메모== | ||
| 46번째 줄: | 40번째 줄: | ||
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. | 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-ready affairs and none gained acceptance. | + | All these attempts were intuitive, rough-and-ready 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". | + | 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]''' | * '''[Atkinson2002]''' | ||
| − | + | ||
| − | + | ||
==관련논문== | ==관련논문== | ||
| − | * '''[Atkinson2002]'''[http://www.jstor.org/stable/1558992 Where Do Functions Come from?] Leigh Atkinson, | + | * '''[Atkinson2002]'''[http://www.jstor.org/stable/1558992 Where Do Functions Come from?] Leigh Atkinson, <cite>The College Mathematics Journal</cite>, Vol. 33, No. 2 (Mar., 2002), pp. 107-112 |
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
| − | + | * [http://www.jstor.org/stable/2686848 Evolution of the Function Concept: A Brief Survey] Israel Kleiner, <cite>The College Mathematics Journal</cite>, Vol. 20, No. 4 (Sep., 1989), pp. 282-300 | |
| − | + | * [http://www.jstor.org/stable/3604739 An Introduction to Logarithms] F. G. Brown, <cite>The Mathematical Gazette</cite>, Vol. 11, No. 160 (Oct., 1922), pp. 164-166 | |
| − | + | * [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 | |
| − | |||
| − | * | ||
| − | |||
| − | |||
2020년 12월 28일 (월) 04:10 기준 최신판
개요
- 함수와 관련된 기본적인 개념과 수학에서 가장 기본적인 함수 몇가지를 배움.
배우기 전에 알고 있어야 하는 것들
- 기초적인 집합의 개념
중요한 개념 및 정리
초등함수의 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-ready 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
- [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