"미적분학의 기본정리"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
1번째 줄: 1번째 줄:
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">간단한 소개</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">간단한 소개</h5>
 +
 
 +
<math>F'\!(x) =\frac {d}{dx} F(x) = f(x)</math> 이면 <math>\int_a^b f(t)dt = F(b) - F(a)</math>
  
 
 
 
 
5번째 줄: 7번째 줄:
 
 
 
 
  
<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">그린 정리</h5>
+
<h5 style="margin: 0px; line-height: 2em;">그린 정리</h5>
  
 
 
 
 
11번째 줄: 13번째 줄:
 
 
 
 
  
<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">가우스의 발산 정리</h5>
+
<h5 style="margin: 0px; line-height: 2em;">가우스의 발산 정리</h5>
  
 
<math>\iiint\limits_V\left(\nabla\cdot\mathbf{F}\right)dV=\iint\limits_{\partial V}\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\;\;\;\subset\!\supset \mathbf F\;\cdot\mathbf n\,{d}S </math>
 
<math>\iiint\limits_V\left(\nabla\cdot\mathbf{F}\right)dV=\iint\limits_{\partial V}\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\;\;\;\subset\!\supset \mathbf F\;\cdot\mathbf n\,{d}S </math>
 
 
 
  
 
 
 
 
23번째 줄: 23번째 줄:
 
 
 
 
  
<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">스토크스의 정리</h5>
+
<h5 style="margin: 0px; line-height: 2em;">스토크스의 정리</h5>
  
 
<math>\int_M d\omega = \int_{\partial M} \omega</math>
 
<math>\int_M d\omega = \int_{\partial M} \omega</math>
29번째 줄: 29번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">상위 주제</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">상위 주제</h5>
  
 
 
 
 
46번째 줄: 46번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">재미있는 사실</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">재미있는 사실</h5>
  
 
 
 
 
52번째 줄: 52번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">역사</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">역사</h5>
  
 
* [[수학사연표 (역사)|수학사연표]]<br>  <br>
 
* [[수학사연표 (역사)|수학사연표]]<br>  <br>
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">많이 나오는 질문과 답변</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">많이 나오는 질문과 답변</h5>
  
 
* 네이버 지식인<br>
 
* 네이버 지식인<br>
67번째 줄: 67번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련된 고교수학 또는 대학수학</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 고교수학 또는 대학수학</h5>
  
 
 
 
 
73번째 줄: 73번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련된 다른 주제들</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 다른 주제들</h5>
  
 
* [[치환적분과 변수분리형 미분방정식]]<br>
 
* [[치환적분과 변수분리형 미분방정식]]<br>
79번째 줄: 79번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련도서 및 추천도서</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련도서 및 추천도서</h5>
  
 
*  도서내검색<br>
 
*  도서내검색<br>
92번째 줄: 92번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">수학용어번역</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">수학용어번역</h5>
  
 
* [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]<br>
 
* [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]<br>
 
** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=antiderivative
 
** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=antiderivative
* [http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&globalmenu=7&localmenu=4 대한수학회 수학용어한글화 게시판]
+
* [http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&globalmenu=7&localmenu=4 대한수학회 수학용어한글화 게시판]
  
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">참고할만한 자료</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">참고할만한 자료</h5>
  
* http://ko.wikipedia.org/wiki/
+
* [http://ko.wikipedia.org/wiki/%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99%EC%9D%98_%EA%B8%B0%EB%B3%B8%EC%A0%95%EB%A6%AC http://ko.wikipedia.org/wiki/미적분학의_기본정리]
 
* http://en.wikipedia.org/wiki/Divergence_theorem
 
* http://en.wikipedia.org/wiki/Divergence_theorem
* http://en.wikipedia.org/wiki/Green's_theorem
+
* [http://en.wikipedia.org/wiki/Green%27s_theorem http://en.wikipedia.org/wiki/Green's_theorem]
* http://en.wikipedia.org/wiki/stoke's_theorem
+
* [http://en.wikipedia.org/wiki/stoke%27s_theorem http://en.wikipedia.org/wiki/stoke's_theorem]
 
* http://www.wolframalpha.com/input/?i=
 
* http://www.wolframalpha.com/input/?i=
 
* [http://navercast.naver.com/science/list 네이버 오늘의과학]
 
* [http://navercast.naver.com/science/list 네이버 오늘의과학]
113번째 줄: 113번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련기사</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련기사</h5>
  
 
*  네이버 뉴스 검색 (키워드 수정)<br>
 
*  네이버 뉴스 검색 (키워드 수정)<br>
126번째 줄: 126번째 줄:
 
 
 
 
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">블로그</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">블로그</h5>
  
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=

2009년 10월 11일 (일) 17:27 판

간단한 소개

\(F'\!(x) =\frac {d}{dx} F(x) = f(x)\) 이면 \(\int_a^b f(t)dt = F(b) - F(a)\)

 

 

그린 정리

 

 

가우스의 발산 정리

\(\iiint\limits_V\left(\nabla\cdot\mathbf{F}\right)dV=\iint\limits_{\partial V}\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\;\;\;\subset\!\supset \mathbf F\;\cdot\mathbf n\,{d}S \)

 

\(\operatorname{div}\,\mathbf{F} = \nabla\cdot\mathbf{F} =\frac{\partial F_x}{\partial x} +\frac{\partial F_y}{\partial y} +\frac{\partial F_z}{\partial z }\)

 

스토크스의 정리

\(\int_M d\omega = \int_{\partial M} \omega\)

 

상위 주제

 

 

 

하위페이지

 

 

재미있는 사실

 

 

역사
많이 나오는 질문과 답변

 

관련된 고교수학 또는 대학수학

 

 

관련된 다른 주제들

 

관련도서 및 추천도서

 

 

수학용어번역

 

참고할만한 자료

 

 

관련기사

 

 

블로그