구면조화함수(spherical harmonics)

 

 

개요

• \(Y_{l}^{m}(\theta,\phi)\), \(-l \leq m \leq l\)
  
• 르장드르 다항식(associated Legendre polynomials) 을 통해서 구할 수 있음
  

 

 

 

 

 

 

단위구면의 라플라시안

• 구면(sphere), 라플라시안(Laplacian)
  \(\Delta_{S^2} f = {1 \over \sin \theta} {\partial \over \partial \theta} \left( \sin \theta {\partial f \over \partial \theta} \right) + {1 \over \sin^2 \theta} {\partial^2 f \over \partial \varphi^2}\)
  

 

 

 

역사

• 수학사연표

 

 

 

 

관련된 항목들

• 르장드르 다항식
  
• 구면(sphere)
  

 

 

 

수학용어번역

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

 

 

사전 형태의 자료

• http://ko.wikipedia.org/wiki/구면조화함수
• http://en.wikipedia.org/wiki/spherical_harmonics
• http://en.wikipedia.org/wiki/Associated_Legendre_polynomials
• http://en.wikipedia.org/wiki/Table_of_spherical_harmonics
• http://www.wolframalpha.com/input/?i=spherical+harmonics
• NIST Digital Library of Mathematical Functions
• The On-Line Encyclopedia of Integer Sequences
  
  • http://www.research.att.com/~njas/sequences/?q=

 

 

관련논문

• http://www.jstor.org/action/doBasicSearch?Query=
• http://dx.doi.org/

 

관련도서 및 추천도서

• 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=

 

 

블로그

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