함수

간단한 요약

• 함수와 관련된 기본적인 개념과 수학에서 가장 기본적인 함수 몇가지를 배움.
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중요한 개념 및 정리

• 일대일대응

 

 

중요한 함수의 예

• 다항함수
• 유리함수
• 지수함수
• 로그함수
• 삼각함수
• 쌍곡함수

 

 

 

 

 

 

 

 

 

 

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 attemptsw ere intuitive,r ough-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.

 

 

관련논문

• 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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