삼각함수의 역사

 

 

개요

• Early Astronomy and the Beginnings of a Mathematical Science
•  
• History of Trigonometry Part 2
• History of Trigonometry Part 3

 

 

 

삼각함수 표의 역사

• http://www.wolframalpha.com/input/?i=sin(pi/180)+in+base+60
• http://www.ams.org/journals/mcom/1943-01-002/
  
  • http://www.ams.org/journals/mcom/1943-01-002/S0025-5718-43-99135-5/S0025-5718-43-99135-5.pdf
• http://www.amazon.com/Episodes-History-Mathematics-Mathematical-Library/dp/0883856131

 

 

표만들기 기술

• http://en.wikipedia.org/wiki/Exact_trigonometric_constants

 

 

 

 

 

인도의 삼각함수

• http://en.wikipedia.org/wiki/Aryabhata%27s_sine_table
• http://en.wikipedia.org/wiki/Madhava%27s_sine_table
• Hayashi, Takao. 1997. Aryabhaa's Rule and Table for Sine-Differences. Historia Mathematica 24, no. 4 (November): 396-406. doi:10.1006/hmat.1997.2160.
  

 

 

이슬람의 삼각함수

• Al-Khwārizmī's Sine Tables and a Western Table with the Hindu Norm of R = 150

 

 

동아시아의 삼각함수

• 한국의 수학http://www.wolframalpha.com/input/?i=sin+(pi*(25%2B42/60%2B51/3600)/180)

 

 

유럽의 삼각함수

• 레기오몬타누스

• [1]http://www.hps.cam.ac.uk/starry/regiotables.html

• Götz, Ottomar, and Dirk Huylebrouck. 2003. Regiomontanus. The Mathematical Intelligencer 25, no. 3 (9): 44-46. doi:10.1007/BF02984849. 

• http://deadscientistoftheweek.blogspot.com/2010/06/regiomontanus.html

• 레티쿠스
• 피티스쿠스

 

 

뉴딜과 테이블 프로젝트

• 뉴딜과 mathematical tables project

 

 

푸리에

• 1807

 

 

재미있는 사실

 

• Math Overflow http://mathoverflow.net/search?q=
• 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=

 

 

연표

• 1595년 피티스쿠스 Trigonometria: sive de solutione triangulorum tractatus brevis et perspicuus 출판 http://en.wikipedia.org/wiki/Bartholomaeus_Pitiscus
• 1678년 후크의 법칙
• 1693년 라이프니츠 조화진동자의 급수해, 다음해 요한 베르누이 역시 급수해로 만족
• 1696년부터 1730년대까지 다양한 미적분학 교과서가 출판되지만 삼각함수의 미적분학은 등장하지 않음
• 1965년 4월 쿨리와 투키의 논문이 출판
• http://www.google.com/search?hl=en&tbs=tl:1&q=
• Earliest Known Uses of Some of the Words of Mathematics
• Earliest Uses of Various Mathematical Symbols
• 수학사연표

 

 

메모

• http://oskicat.berkeley.edu/search~S1?/dTrigonometry+--+Tables./dtrigonometry+tables/-3%2C-1%2C0%2CB/exact&FF=dtrigonometry+tables&1%2C135%2C
• [2]http://oskicat.berkeley.edu/search~S1?/dTrigonometry+--+Tables./dtrigonometry+tables/-3%2C-1%2C0%2CB/exact&FF=dtrigonometry+tables+early+works+to+1800&1%2C5%2C

 

 

 

 

수학용어번역

• 단어사전 http://www.google.com/dictionary?langpair=en%7Cko&q=
• 발음사전 http://www.forvo.com/search/
• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=
• 남·북한수학용어비교
• 대한수학회 수학용어한글화 게시판

 

 

사전 형태의 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• http://www.proofwiki.org/wiki/
• http://www.wolframalpha.com/input/?i=
• The Online Encyclopaedia of Mathematics
• NIST Digital Library of Mathematical Functions
• The On-Line Encyclopedia of Integer Sequences

 

 

관련논문

• Some History of the Calculus of the Trigonometric Functions
• A Note on the History of Trigonometric Functions
  
  • Jean-Pierre Merlet, 2004, 5, 195-200
• Katz, Victor J., “The curious history of trigonometry,” The UMAP Journal,
  11 (1990), 339–354.
• VJ Katz, Calculus of the trigonometric functions, Hist. Math. 14(1987), 311-324
• Boyer, C., 1947. History of the derivative and integral of the sine. Mathematics Teacher 40, pp. 267–275.
• References for: The trigonometric functions
• http://www.jstor.org/action/doBasicSearch?Query=
• http://www.ams.org/mathscinet
• http://dx.doi.org/10.1007/1-4020-2204-2_16

 

 

관련도서

• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=
• 도서검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/mainSearch.do?query=
  • http://book.daum.net/search/mainSearch.do?query=

 

 

관련기사

• 네이버 뉴스 검색 (키워드 수정)
  
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=

 

 

링크

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
• 네이버 오늘의과학
• Mathematical Moments from the AMS
• BetterExplained
• exampleproblems.com