http://pythagoras0.springnote.com/pages 수학이 알고싶은 중고대딩들을 위한 수학 노트 ko-KR <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%;">이 항목의 스프링노트&nbsp;원문주소</h5> <ul> <li><a href="/pages/1969498" class="wiki" title="라마누잔의 수학">라마누잔의 수학</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <ul> <li>인도의 수학자</li> <li>공식적인 수학교육이 거의 없는 상태에서 스스로 수학지식을 습득</li> <li>수많은 기묘한 공식들을 많이 남김.</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>라마누잔과 파이</h5> <ul> <li> <p><a href="/pages/3006616" title="라마누잔과 파이" class="wiki">라마누잔과 파이</a> 항목에서 다룸</p> <p><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cfrac%7B1%7D%7B%5Cpi%7D%3D%20%5Cfrac%7B2%5Csqrt2%7D%7B9801%7D%5Csum_%7Bn%3D0%7D%5E%7B%5Cinfty%7D%5Cfrac%7B%284n%29%21%281103%2B26390n%29%7D%7B%28n%21%29%5E%7B4%7D396%5E%7B4n%7D%7D" alt="\frac{1}{\pi}= \frac{2\sqrt2}{9801}\sum_{k=0}^{\infty}\frac{(4k)!(1103+26390k)}{(k!)^{4}396^{4k}}" style="border: 0px none; line-height: 2em;" /><a href="/pages/3006616" title="라마누잔과 파이" class="wiki"></a></p> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>nested radicals</h5> <ul> <li> <p><a href="/pages/2529712" title="nested radicals" class="wiki">nested radicals</a></p> <p><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Csqrt%7B1%2B2%5Csqrt%7B1%2B3%5Csqrt%7B1%2B4%5Csqrt%7B1%2B5%5Csqrt%7B1%2B6%5Ccdots%7D%7D%7D%7D%7D%20%3D%203" alt="\sqrt{1+2\sqrt{1+3\sqrt{1+4\sqrt{1+5\sqrt{1+6\cdots}}}}} = 3" /></p> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>라마누잔 연분수</h5> <ul> <li> <p><a href="/pages/3004578" class="wiki" title="로저스-라마누잔 연분수와 항등식">로저스-라마누잔 연분수와 항등식</a> 항목에서 다룸</p> <p><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Ccfrac%7B1%7D%7B1%20%2B%20%5Ccfrac%7Be%5E%7B-2%5Cpi%7D%7D%7B1%20%2B%20%5Ccfrac%7Be%5E%7B-4%5Cpi%7D%7D%7B1%2B%5Cdots%7D%7D%7D%20%3D%20%5Cleft%28%7B%5Csqrt%7B5%2B%5Csqrt%7B5%7D%5Cover%202%7D-%7B%5Csqrt%7B5%7D%2B1%5Cover%202%7D%7D%5Cright%29e%5E%7B2%5Cpi%2F5%7D%20%3D%20e%5E%7B2%5Cpi%2F5%7D%5Cleft%28%7B%5Csqrt%7B%5Cvarphi%5Csqrt%7B5%7D%7D-%5Cvarphi%7D%5Cright%29%20%3D%200.9981360%5Cdots" alt="\cfrac{1}{1 + \cfrac{e^{-2\pi}}{1 + \cfrac{e^{-4\pi}}{1+\dots}}} = \left({\sqrt{5+\sqrt{5}\over 2}-{\sqrt{5}+1\over 2}}\right)e^{2\pi/5} = e^{2\pi/5}\left({\sqrt{\varphi\sqrt{5}}-\varphi}\right) = 0.9981360\dots" /></p> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>타원적분의 singular values</h5> <ul> <li> <p style="margin: 0px; line-height: 2em;"><a href="/pages/1969498" title="라마누잔" class="wiki" style="line-height: 2em; color: rgb(0, 43, 184) ! important; text-decoration: underline; cursor: pointer ! important;">라마누잔</a>이 하디에게 보낸 1913년의 편지에는 다음이 수록</p> <p style="margin: 0px; line-height: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=k_%7B210%7D%3D%5Cleft%28-1%2B%5Csqrt%7B2%7D%5Cright%29%5E2%20%5Cleft%282-%5Csqrt%7B3%7D%5Cright%29%20%5Cleft%288-3%20%5Csqrt%7B7%7D%5Cright%29%20%5Cleft%28-%5Csqrt%7B6%7D%2B%5Csqrt%7B7%7D%5Cright%29%5E2%20%5Cleft%28-3%2B%5Csqrt%7B10%7D%5Cright%29%5E2%20%5Cleft%284-%5Csqrt%7B15%7D%5Cright%29%5E2%20%5Cleft%28-%5Csqrt%7B14%7D%2B%5Csqrt%7B15%7D%5Cright%29%20%5Cleft%286-%5Csqrt%7B35%7D%5Cright%29" alt="k_{210}=\left(-1+\sqrt{2}\right)^2 \left(2-\sqrt{3}\right) \left(8-3 \sqrt{7}\right) \left(-\sqrt{6}+\sqrt{7}\right)^2 \left(-3+\sqrt{10}\right)^2 \left(4-\sqrt{15}\right)^2 \left(-\sqrt{14}+\sqrt{15}\right) \left(6-\sqrt{35}\right)" style="border-style: none; border-width: 0px; line-height: 2em;" /></p> </li> </ul> <ul> <li><a href="/pages/4734479" title="타원적분의 singular value k" class="wiki">타원적분의 singular value k</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>메모</h5> <ul> <li><a href="http://dspace.rri.res.in/bitstream/2289/741/1/1990%20CS%20V59%20%20p1309.pdf">http://dspace.rri.res.in/bitstream/2289/741/1/1990%20CS%20V59%20%20p1309.pdf</a></li> <li><a href="http://www.theartsdesk.com/index.php?option=com_k2&amp;view=item&amp;id=2165:the-mozart-and-salieri-of-maths&amp;Itemid=29" class="external" title="http://www.theartsdesk.com/index.php?option=com_k2&amp;view=item&amp;id=2165:the-mozart-and-salieri-of-maths&amp;Itemid=29">Complicite and the Mozart and Salieri of Maths</a></li> <li>http://www.youtube.com/watch?v=OARGZ1xXCxs</li> </ul> <p>&nbsp;</p> <h5>연대기</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li>1887년 12월 출생</li> <li>대학에서 두번 쫓겨남</li> <li>1913년 하디에게 편지</li> <li>캠브리지에서 하디와 공동작업</li> <li>1919년 인도로 돌아감</li> <li>1920년 1월 12일자, 하디에게 보낸 마지막 편지</li> <li>1920년 4월 사망 (32세)</li> <li><a href="/pages/3304643" title="수학사연표" class="wiki" style="line-height: 2em; color: rgb(0, 43, 184) ! important; text-decoration: underline; cursor: pointer ! important;">수학사연표</a></li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p>&nbsp;</p> <h5>관련된 고교수학 또는 대학수학</h5> <ul> <li><a href="/pages/1949486" class="wiki" title="복소함수론">복소함수론</a></li> <li><a href="/pages/1943100" title="초등정수론" class="wiki">초등정수론</a></li> <li><a href="/pages/1989670" title="해석적정수론" class="wiki">해석적정수론</a></li> <li><a href="/pages/1951990" title="이차형식" class="wiki">이차형식</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <ul> <li><a href="/pages/3030630" class="wiki" title="라마누잔의 class invariants">라마누잔의 class invariants</a></li> <li> <p><a href="/pages/2529712" class="wiki" title="nested radicals">nested radicals</a></p> </li> <li> <p><a href="/pages/3006620" class="wiki" title="라마누잔과 1729">라마누잔과 1729</a></p> </li> <li><a href="/pages/3006616" class="wiki" title="라마누잔과 파이">라마누잔과 파이</a><a href="/pages/3004578" class="wiki" title="로저스-라마누잔 연분수와 항등식"></a></li> <li><a href="/pages/3325971" class="wiki" title="하디-라마누잔 분할수 공식">하디-라마누잔 분할수 공식</a></li> <li><a href="/pages/3004578" class="wiki" title="로저스-라마누잔 연분수와 항등식">로저스-라마누잔 연분수와 항등식</a></li> </ul> <ul> <li><a href="/pages/1963936" class="wiki" title="Special functions">Special functions</a></li> <li><a href="/pages/1950432" class="wiki" title="The modular group, j-invariant and the singular moduli">The modular group, j-invariant and the singular moduli</a></li> <li><a href="/pages/1950882" class="wiki" title="분할수">분할수</a></li> <li><a href="/pages/1939326" class="wiki" title="파이값의 계산">파이값의 계산</a></li> <li><a href="/pages/3759567" title="판별식 (discriminant) 함수" class="wiki">판별식 (discriminant) 함수</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <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%;">사전 형태의&nbsp;자료</h5> <ul style="margin: 0px; padding: 0px 0px 0px 24px; line-height: 2em;"> <li style="line-height: 2em;">http://ko.wikipedia.org/wiki/</li> <li style="line-height: 2em;"><a href="http://en.wikipedia.org/wiki/Ramanujan">http://en.wikipedia.org/wiki/Ramanujan</a></li> <li style="line-height: 2em;">http://www.wolframalpha.com/input/?i=</li> <li style="line-height: 2em;"><a href="http://dlmf.nist.gov/" title="http://dlmf.nist.gov" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">NIST Digital Library of Mathematical Functions</a></li> <li style="line-height: 2em;"> <p style="margin: 0px; line-height: 2em;"><a href="http://www.research.att.com/%7Enjas/sequences/index.html" class="external" title="http://www.research.att.com/~njas/sequences/index.html" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">The On-Line Encyclopedia of Integer Sequences</a></p> <ul style="margin: 0px; padding: 0px 0px 0px 24px; line-height: 2em;"> <li style="line-height: 2em;">http://www.research.att.com/~njas/sequences/?q=</li> </ul> </li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p>&nbsp;</p> <h5>관련도서 및 추천도서</h5> <ul> <li> <p><a href="http://www.yes24.com/Goods/FTGoodsView.aspx?goodsNo=103183&amp;CategoryNumber=001001002015001" class="external" title="http://www.yes24.com/Goods/FTGoodsView.aspx?goodsNo=103183&amp;CategoryNumber=001001002015001">수학이 나를 불렀다</a></p> <ul> <li>로버트 카니겔 저/김인수 역</li> <li>사이언스북스, 2000년 05월</li> <li>일반 독자들이 읽을 수 있는 라마누잔 이야기</li> </ul> </li> <li> <p><a href="http://www.amazon.com/Number-Theory-Spirit-Ramanujan-Berndt/dp/0821841785" class="external" title="http://www.amazon.com/Number-Theory-Spirit-Ramanujan-Berndt/dp/0821841785">Number Theory in the Spirit of Ramanujan</a></p> <ul> <li>Bruce C. Berndt</li> </ul> </li> <li> <p><a href="http://www.amazon.com/Ramanujans-Notebooks-Bruce-C-Berndt/dp/0387961100/ref=pd_sim_b_3" class="external" title="http://www.amazon.com/Ramanujans-Notebooks-Bruce-C-Berndt/dp/0387961100/ref=pd_sim_b_3">Ramanujan's Notebooks</a>: I,II,III,IV,V</p> <ul> <li>Bruce C. Berndt</li> </ul> </li> <li> <p><a href="http://www.amazon.com/Ramanujans-Lost-Notebook-Part-Pt/dp/038725529X/ref=pd_sim_b_2" class="external" title="http://www.amazon.com/Ramanujans-Lost-Notebook-Part-Pt/dp/038725529X/ref=pd_sim_b_2">Ramanujan's Lost Notebook</a> : I, <a href="http://www.amazon.com/Ramanujans-Lost-Notebook-Part-Pt/dp/0387777652/ref=pd_sim_b_3" class="external" title="http://www.amazon.com/Ramanujans-Lost-Notebook-Part-Pt/dp/0387777652/ref=pd_sim_b_3">II</a></p> <ul> <li>George E. Andrews and Bruce C. Berndt</li> </ul> </li> <li>Ramanujan revisited : proceedings of the centenary conference, University of Illinois at Urbana-Champaign, June 1-5, 1987 / edited by George E. Andrews ... [et al.].&lt;1988&gt;&nbsp; Ramanujan Centenary Conference (1987 : University of Illinois at Urbana-Champaign), Boston : Academic Press, c1988.</li> <li>Collected papers of Srinivasa Ramanujan, edited by G.H. Hardy, P.V. Seshu Aiyar and B.M. Wilson, Cambridge [Eng.] The University Press, 1927.</li> <li> <p>도서내검색</p> <ul> <li>http://books.google.com/books?q=</li> <li><a href="http://book.daum.net/search/contentSearch.do?query=">http://book.daum.net/search/contentSearch.do?query=</a></li> </ul> </li> <li> <p>도서검색</p> <ul> <li>http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&amp;field-keywords=</li> <li>http://book.daum.net/search/mainSearch.do?query=</li> </ul> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul> <li>Atle Selberg <a href="http://www.ias.ac.in/resonance/Dec1996/pdf/Dec1996Reflections.pdf" class="external" title="http://www.ias.ac.in/resonance/Dec1996/pdf/Dec1996Reflections.pdf">Reflections around the Ramanujan centenary</a>,&nbsp;December 1996</li> <li>George E. Andrews and Bruce C. Berndt <a href="http://www.ams.org/notices/200801/tx080100018p.pdf" class="external" title="http://www.ams.org/notices/200801/tx080100018p.pdf">Your hit parade: The top ten most fascinating formulas from Ramanujan's Lost Notebook</a>,&nbsp;<em style="">Notices Amer. Math. Soc.</em>, 55 (No. 1, Jan. 2008), 18-30</li> <li class="title">Bruce C. Berndt, <a href="http://www.jstor.org/stable/2689995" title="http://www.jstor.org/stable/2689995" class="external">Ramanujan's Notebooks</a>&nbsp;<cite>Mathematics Magazine</cite>, Vol. 51, No. 3 (May, 1978), pp. 147-164</li> <li class="title">George E. Andrews,&nbsp;<a href="http://www.jstor.org/stable/2321943" class="external" title="http://www.jstor.org/stable/2321943">An Introduction to Ramanujan's "lost" Notebook</a><cite>The American Mathematical Monthly</cite>, Vol. 86, No. 2 (Feb., 1979), pp. 89-108</li> <li class="title">George E. Andrews, <a href="http://www.jstor.org/stable/2974472" class="external" title="http://www.jstor.org/stable/2974472">Simplicity and Surprise in Ramanujan's "Lost" Notebook</a>&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 104, No. 10 (Dec., 1997), pp. 918-925</li> <li class="title"><a href="http://www.jstor.org/stable/2974471" class="external" title="http://www.jstor.org/stable/2974471">Ramanujan, Taxicabs, Birthdates, ZIP Codes, and Twists</a><cite>The American Mathematical Monthly</cite>, Vol. 104, No. 10 (Dec., 1997), pp. 912-917</li> <li class="title"> <p><a href="http://www.jstor.org/stable/2323885" class="external" title="http://www.jstor.org/stable/2323885">Ramanujan--For Lowbrows</a></p> <ul> <li class="author">Bruce C. Berndt and S. Bhargava,&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 100, No. 7 (Aug. - Sep., 1993), pp. 644-656</li> </ul> </li> <li class="author"> <p style="margin: 0px; line-height: 2em;"><a href="http://dx.doi.org/10.1070/RM1990v045n01ABEH002325" title="http://dx.doi.org/10.1070/RM1990v045n01ABEH002325" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">Ramanujan and hypergeometric and basic hypergeometric series</a></p> <ul style="margin: 0px; padding: 0px 0px 0px 24px; line-height: 2em;"> <li class="author" style="line-height: 2em;">R Askey 1990 Russ. Math. Surv. 45 37-86</li> </ul> </li> <li><a href="http://www.jstor.org/stable/2321202" class="external" title="http://www.jstor.org/stable/2321202">Ramanujan's Extensions of the Gamma and Beta Functions</a></li> <li style=""> <ul> <li class="author">Richard Askey, <cite>The American Mathematical Monthly</cite>, Vol. 87, No. 5 (May, 1980), pp. 346-359</li> </ul> </li> <li class="title"> <p><a href="http://www.jstor.org/stable/2301659" class="external" title="http://www.jstor.org/stable/2301659">The Indian Mathematician Ramanujan</a></p> <ul> <li class="author">G. H. Hardy,&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 44, No. 3 (Mar., 1937), pp. 137-155</li> </ul> </li> </ul> <ul> <li class="title"> <p><a href="http://www.jstor.org/stable/2311980" class="external" title="http://www.jstor.org/stable/2311980">The Nonvanishing of Ramanujan's τ-Function</a></p> <ul> <li class="author">J. M. Gandhi,&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 68, No. 8 (Oct., 1961), pp. 757-760</li> </ul> </li> </ul> <ul> <li class="title"> <p><a href="http://www.jstor.org/stable/2299066" class="external" title="http://www.jstor.org/stable/2299066">The Development of "Partitio Numerorum," with Particular Reference to the Work of Messrs. Hardy, Littlewood and Ramanujan</a></p> <ul> <li class="author">Aubrey J. Kempner,&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 30, No. 7 (Nov., 1923), pp. 354-369</li> </ul> </li> </ul> <ul> <li class="title"> <p><a href="http://www.jstor.org/stable/2298749" class="external" title="http://www.jstor.org/stable/2298749">The Development of "Partitio Numerorum," with Particular Reference to the Work of Messrs. Hardy, Littlewood and Ramanujan</a></p> <ul> <li class="author">Aubrey J. Kempner,&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 30, No. 8 (Dec., 1923), pp. 416-425</li> </ul> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련링크 및 웹페이지</h5> <ul> <li> <p>Bruce Berndt 교수의 홈페이지</p> <ul> <li><a href="http://www.math.uiuc.edu/%7Eberndt/">http://www.math.uiuc.edu/~berndt/</a></li> </ul> </li> <li><a href="http://www.geocities.com/titus_piezas/ramanujan.html" title="http://www.geocities.com/titus_piezas/ramanujan.html" class="external">The Ramanujan Pages</a> by Titus Piezas III</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련기사</h5> <ul> <li><a href="http://www.hani.co.kr/arti/science/kistiscience/365931.html">http://www.hani.co.kr/arti/science/kistiscience/365931.html</a></li> <li> <p>네이버 뉴스 검색 (키워드 수정)</p> <ul> <li><a href="http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=%EB%9D%BC%EB%A7%88%EB%88%84%EC%9E%94">http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=라마누잔</a></li> <li>http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=</li> </ul> </li> </ul> Mon, 14 May 2012 22:35:42 +0900 http://pythagoras0.springnote.com/pages/1969498 http://pythagoras0.springnote.com/pages/1969498 <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%;">이 항목의 스프링노트&nbsp;원문주소</h5> <ul> <li><a href="/pages/2628802" class="wiki" title="가우스-보네 정리">가우스-보네 정리</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>간단한 소개</h5> <ul> <li>곡면의 기하학적 성질과 위상적인 성질을 연결해 주는 정리.</li> <li>학부 미분기하학의 가장 중요한 정리중 하나임.</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>국소적 가우스-보네 정리</h5> <ul> <li><img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=T" alt="" /> :곡면상의 영역, <img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=K" alt="" /> : 가우스 곡률, <img alt="" /><img alt="" /><img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=%5Calpha_i" alt="" /> : 꼭지점에서의 angle jump, <img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=k_g" alt="" /> : 곡선의 측지곡률</li> </ul> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cint_T%20K%20dA%20%3D%202%5Cpi%20-%5Csum%20%5Calpha_i%20-%5Cint_%7B%5Cpartial%20T%7Dk_g%20ds" alt="\int_T K dA = 2\pi -\sum \alpha_i -\int_{\partial T}k_g ds" /></p> <ul> <li>둘레가 측지선으로 이루어진 다각형 <img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=T" alt="" /> 의 경우에는 다음과 같이 단순화시킬 수 있음</li> </ul> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cint_T%20K%20dA%20%3D%202%5Cpi%20-%5Csum_%7Bv%5Ctext%7B%20%3A%20vertex%7D%7D%20%5Ctext%7Bexternal%20angle%20at%20%7Dv" alt="\int_T K dA = 2\pi -\sum_{v\text{ : vertex}} \text{external angle at }v" /></p> <p style="margin-left: 2em;">&nbsp;</p> <h5>대역적 가우스-보네 정리</h5> <ul> <li><img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=M" alt="" /> : 유향 컴팩트 곡면, <img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=%5Cchi%28M%29" alt="" /> : 곡면의 오일러 특성수</li> </ul> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cint_M%20K%20dA%3D%202%5Cpi%5Cchi%28M%29" alt="\int_M K dA= 2\pi\chi(M)" /></p> <p>&nbsp;</p> <p>&nbsp;</p> <ul> <li>대역적 가우스-보네 정리는 국소적인 가우스-보네 정리로부터 증명 가능</li> </ul> <p>&nbsp;</p> <p style="margin-left: 2em;">(증명)</p> <p style="margin-left: 2em;">먼저 곡면을 측지다각형으로 분해하여, 각 다각형 <img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=T" alt="" /> 에 대해 국소 가우스-보네 정리를 적용</p> <p><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cint_T%20K%20dA%20%3D%202%5Cpi%20-%5Csum_%7Bv%5Ctext%7B%20%3A%20vertex%7D%7D%20%5Ctext%7Bexternal%20angle%20at%20%7Dv" alt="\int_T K dA = 2\pi -\sum_{v\text{ : vertex}} \text{external angle at }v" /></p> <p style="margin-left: 2em;">각 다각형에 대한 결과를 모두 더하면,</p> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cint_M%20K%20dA%20%3D%202%5Cpi%20F-%5Csum_%7BF%5Ctext%7B%3Afaces%7D%7D%5Csum_%7Bv%20%5Ctext%7B%3Avertex%20of%20%7DF%7D%20%28%5Cpi%20-%20%5Ctext%7Binternal%20angle%20at%20%7Dv%29" alt="\int_M K dA = 2\pi F-\sum_{F\text{:faces}}\sum_{v \text{:vertex of }F} (\pi - \text{internal angle at }v)" /><img src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=%5Cint_M%20K%20dA%20%3D%202%5Cpi%20F-%5Csum_%7BF%5Ctext%7B:faces%7D%7D%5Csum_%7Bv%20%5Ctext%7B:vertex%20of%20%7DF%7D%20%28%5Cpi%20-%20%5Ctext%7Binternal%20angle%20at%20%7Dv%29" alt="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=%5Cint%5Cint_T%20K%20dA%20%3D%202%5Cpi%20-%5Csum%20%5Calpha_i%20-%5Cint_%7B%5Cpartial%20T%7Dk_g%20ds" /></p> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%3D2%5Cpi%20F-%5Csum_%7BF%5Ctext%7B%3Afaces%7D%7D%5Csum_%7Bv%20%5Ctext%7B%3Avertex%20of%20%7DF%7D%5Cpi%20-%20%5Csum_%7BF%5Ctext%7B%3Afaces%7D%7D%5Csum_%7Bv%20%5Ctext%7B%3Avertex%20of%20%7DF%7D%20%20%5Ctext%7Binternal%20angle%20at%20%7Dv" alt="=2\pi F-\sum_{F\text{:faces}}\sum_{v \text{:vertex of }F}\pi - \sum_{F\text{:faces}}\sum_{v \text{:vertex of }F} \text{internal angle at }v" /></p> <p style="margin-left: 2em;">&nbsp;</p> <p style="margin-left: 2em;"><img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=%3D2%5Cpi%20F-%5Csum_%7BF%5Ctext%7B%3Afaces%7D%7D%28%5Ctext%7Bnumber%20of%20vertices%20of%20%7D%20F%29%20%5Cpi%20%2B2%20%5Cpi%20V" alt="" /></p> <p style="margin-left: 2em;"><img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=%3D2%5Cpi%20F-%5Csum_%7BF%5Ctext%7B%3Afaces%7D%7D%28%5Ctext%7Bnumber%20of%20edges%20of%20%7D%20F%29%20%5Cpi%20%2B2%20%5Cpi%20V" alt="" /></p> <p style="margin-left: 2em;"><img title="" class="attachment" src="http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&amp;eq=%3D2%5Cpi%20F-2%5Cpi%20E%20%2B2%20%5Cpi%20V" alt="" />&nbsp; (각각의 모서리는 두 번씩 세어짐)</p> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=2%5Cpi%5Cchi%28M%29" alt="2\pi\chi(M)" /></p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 학부 과목과 미리 알고 있으면 좋은 것들</h5> <ul> <li><a href="/pages/1951508" class="wiki" title="미분기하학">미분기하학</a></li> </ul> <p>&nbsp;</p> <h5>관련된 대학원 과목</h5> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 다른 주제들</h5> <ul> <li> <p><a href="/pages/2584900" class="wiki" title="볼록다면체에 대한 데카르트 정리">볼록다면체에 대한 데카르트 정리</a></p> <ul> <li>증명의 유사성을 눈여겨 볼 것.</li> </ul> </li> <li><a href="/pages/2584866" class="wiki" title="다면체에 대한 오일러의 정리 V-E+F=2">다면체에 대한 오일러의 정리 V-E+F=2</a></li> </ul> <p>&nbsp;</p> <h5>표준적인 도서 및 추천도서</h5> <ul> <li>http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&amp;field-keywords=</li> </ul> <p>&nbsp;</p> <h5>위키링크</h5> <ul> <li><a href="http://en.wikipedia.org/wiki/Gauss-Bonnet_theorem%20%20" class="external" title="http://en.wikipedia.org/wiki/Gauss-Bonnet_theorem ">http://en.wikipedia.org/wiki/Gauss-Bonnet_theorem</a></li> <li><a href="http://en.wikipedia.org/wiki/Generalized_Gauss-Bonnet_theorem">http://en.wikipedia.org/wiki/Generalized_Gauss-Bonnet_theorem</a></li> <li>&nbsp;</li> </ul> <h5>참고할만한&nbsp;자료</h5> <ul> <li><a href="http://www.nd.edu/%7Elnicolae/GradStudSemFall2003.pdf" rel="nofollow"><em>The many faces of Gauss-Bonnet</em></a></li> <li><a href="http://mathoverflow.net/questions/84521/a-question-on-generalized-gauss-bonnet-theorem">http://mathoverflow.net/questions/84521/a-question-on-generalized-gauss-bonnet-theorem</a></li> </ul> Mon, 14 May 2012 04:00:44 +0900 http://pythagoras0.springnote.com/pages/2628802 http://pythagoras0.springnote.com/pages/2628802 <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">이 항목의 스프링노트&nbsp;원문주소</h5> <ul> <li> <p style="line-height: 2em; margin: 0px;"><a href="/pages/5900383" title="역삼각함수" class="wiki">역삼각함수</a></p> </li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">개요</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;">사인/아크사인함수&nbsp;덧셈정리의 적분표현</p> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Csin%20%5Cleft%28%5Ctheta_1%2B%5Ctheta_2%5Cright%29%3D%5Csin%20%5Ctheta_1%20%5Ccos%20%5Ctheta_2%20%2B%20%5Ccos%20%5Ctheta_1%20%5Csin%20%5Ctheta_2" alt="\sin \left(\theta_1+\theta_2\right)=\sin \theta_1 \cos \theta_2 + \cos \theta_1 \sin \theta_2" /></p> <p style="line-height: 2em; margin: 0px;"><img class="equation" title="" src="http://eq.springnote.com/tex_image?source=%5Carcsin%20x%2B%5Carcsin%20y%3D%5Carcsin%20%28x%5Csqrt%7B1-y%5E2%7D%2By%5Csqrt%7B1-x%5E2%7D%29" alt="" style="line-height: 2em; border-width: 0px; border-style: none;" /><br /> <img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cint_0%5Ex%7B%5Cfrac%7B1%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%7Ddx%2B%5Cint_0%5Ey%7B%5Cfrac%7B1%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%7Ddx%20%3D%20%5Cint_0%5E%7Bx%5Csqrt%7B1-y%5E2%7D%2By%5Csqrt%7B1-x%5E2%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%7Ddx%20" alt="\int_0^x{\frac{1}{\sqrt{1-x^2}}}dx+\int_0^y{\frac{1}{\sqrt{1-x^2}}}dx = \int_0^{x\sqrt{1-y^2}+y\sqrt{1-x^2}}{\frac{1}{\sqrt{1-x^2}}}dx " style="line-height: 2em; border-width: 0px; border-style: none;" /></p> </li> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;">탄젠트/아크탄젠트 함수&nbsp;덧셈정리의 적분표현</p> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Ctan%28%5Ctheta_1%2B%5Ctheta_2%29%3D%5Cfrac%7B%5Ctan%5Ctheta_1%2B%5Ctan%5Ctheta_2%7D%7B1-%5Ctan%5Ctheta_1%5Ctan%5Ctheta_2%7D" alt="\tan(\theta_1+\theta_2)=\frac{\tan\theta_1+\tan\theta_2}{1-\tan\theta_1\tan\theta_2}" /></p> <p style="line-height: 2em; margin: 0px;"><img class="equation" title="" src="http://eq.springnote.com/tex_image?source=%5Carctan%20x%2B%5Carctan%20y%20%3D%20%5Carctan%7B%5Cfrac%7Bx%2By%7D%7B1-xy%7D%7D" alt="\arctan x+\arctan y = \arctan{\frac{x+y}{1-xy}}" style="line-height: 2em; border-width: 0px; border-style: none;" /></p> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cint_0%5Ex%20%5Cfrac%7Bdx%7D%7B1%2Bx%5E2%7D%20%2B%20%5Cint_0%5Ey%20%5Cfrac%7Bdx%7D%7B1%2Bx%5E2%7D%20%3D%20%5Cint_0%5E%7B%5Cfrac%7Bx%2By%7D%7B1-xy%7D%7D%20%5Cfrac%7Bdx%7D%7B1%2Bx%5E2%7D" alt="\int_0^x \frac{dx}{1+x^2} + \int_0^y \frac{dx}{1+x^2} = \int_0^{\frac{x+y}{1-xy}} \frac{dx}{1+x^2}" /></p> <p>&nbsp;</p> </li> </ul> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=x%3E0" alt="x&gt;0" /> 일 때,</p> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Carctan%20x%2B%5Carctan%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B%5Cpi%7D%7B2%7D" alt="\arctan x+\arctan \frac{1}{x} = \frac{\pi}{2}" /></p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=2%28%5Carcsin%20x%29%5E2%3D%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D%5Cfrac%7B%282x%29%5E%7B2n%7D%7D%7Bn%5E2%5Cbinom%7B2n%7D%7Bn%7D%7D" alt="2(\arcsin x)^2=\sum_{n=1}^{\infty}\frac{(2x)^{2n}}{n^2\binom{2n}{n}}" style="line-height: 2em; border-width: 0px; border-style: none;" /></p> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Cfrac%7B2x%20%5Carcsin%20x%7D%7B%5Csqrt%7B1-x%5E2%7D%7D%3D%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D%5Cfrac%7B%282x%29%5E%7B2n%7D%7D%7Bn%5Cbinom%7B2n%7D%7Bn%7D%7D" alt="\frac{2x \arcsin x}{\sqrt{1-x^2}}=\sum_{n=1}^{\infty}\frac{(2x)^{2n}}{n\binom{2n}{n}}" style="line-height: 2em; border-width: 0px; border-style: none;" /></p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">역사</h5> <ul> <li> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> </li> <li style="line-height: 2em;"><a href="http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=inverse+tangent">http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=inverse+tangent</a></li> </ul> <ul> <li style="line-height: 2em;"><a href="http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=arctangent">http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=arctangent</a><br /> http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=</li> <li style="line-height: 2em;"><a href="/pages/3304643" class="wiki" title="수학사연표" style="line-height: 2em; color: rgb(0, 43, 184) ! important; text-decoration: underline; cursor: pointer ! important;">수학사연표</a></li> <li style="line-height: 2em;">&nbsp;</li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">메모</h5> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련된 항목들</h5> <ul> <li> <p style="line-height: 2em; margin: 0px;"><a href="/pages/2998874" title="대수적 함수와 아벨적분" class="wiki">대수적 함수와 아벨적분</a></p> </li> <li> <p style="line-height: 2em; margin: 0px;"><a href="/pages/5883171" title="중심이항계수(central binomial coefficient)" class="wiki">중심이항계수(central binomial coefficient)</a></p> </li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">수학용어번역</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">단어사전&nbsp;http://www.google.com/dictionary?langpair=en|ko&amp;q=</li> <li style="line-height: 2em;">발음사전&nbsp;http://www.forvo.com/search/</li> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;"><a href="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" class="external" title="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회 수학 학술 용어집</a></p> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=eng_term&amp;fstr=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" title="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">남·북한수학용어비교</a></li> <li style="line-height: 2em;"><a href="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" title="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회&nbsp;수학용어한글화 게시판</a></li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5>매스매티카 파일 및 계산 리소스</h5> <ul> <li><a href="https://docs.google.com/file/d/0B8XXo8Tve1cxT3d5dGR5X1dIVDQ/edit">https://docs.google.com/file/d/0B8XXo8Tve1cxT3d5dGR5X1dIVDQ/edit</a></li> <li>http://www.wolframalpha.com/input/?i=</li> <li><a href="http://functions.wolfram.com/">http://functions.wolfram.com/</a></li> <li><a href="http://dlmf.nist.gov/" title="http://dlmf.nist.gov" class="external">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://people.math.sfu.ca/%7Ecbm/aands/toc.htm" class="external" title="http://people.math.sfu.ca/~cbm/aands/toc.htm">Abramowitz and Stegun Handbook of mathematical functions</a></li> <li><a href="http://www.research.att.com/%7Enjas/sequences/index.html" class="external" title="http://www.research.att.com/~njas/sequences/index.html">The On-Line Encyclopedia of Integer Sequences</a></li> <li><a href="http://numbers.computation.free.fr/Constants/constants.html" title="http://numbers.computation.free.fr/Constants/constants.html" class="external">Numbers, constants and computation</a></li> <li><a href="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw" title="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw" class="external">매스매티카 파일 목록</a></li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">사전 형태의&nbsp;자료</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://ko.wikipedia.org/wiki/</li> <li style="line-height: 2em;">http://en.wikipedia.org/wiki/</li> <li style="line-height: 2em;">http://www.wolframalpha.com/input/?i=</li> <li style="line-height: 2em;"><a href="http://dlmf.nist.gov/" title="http://dlmf.nist.gov" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">NIST Digital Library of Mathematical Functions</a></li> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;"><a href="http://www.research.att.com/%7Enjas/sequences/index.html" class="external" title="http://www.research.att.com/~njas/sequences/index.html" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">The On-Line Encyclopedia of Integer Sequences</a></p> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://www.research.att.com/~njas/sequences/?q=</li> </ul> </li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련논문</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://www.jstor.org/action/doBasicSearch?Query=</li> <li style="line-height: 2em;"><a href="http://www.ams.org/mathscinet" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">http://www.ams.org/mathscinet</a></li> <li style="line-height: 2em;">http://dx.doi.org/</li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련도서</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;">도서내검색</p> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://books.google.com/books?q=</li> <li style="line-height: 2em;">http://book.daum.net/search/contentSearch.do?query=</li> </ul> </li> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;">도서검색</p> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://books.google.com/books?q=</li> <li style="line-height: 2em;">http://book.daum.net/search/mainSearch.do?query=</li> <li style="line-height: 2em;">http://book.daum.net/search/mainSearch.do?query=</li> </ul> </li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">관련기사</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;">네이버 뉴스 검색 (키워드 수정)</p> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=</li> <li style="line-height: 2em;">http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=</li> <li style="line-height: 2em;">http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=</li> </ul> </li> </ul> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <p style="line-height: 2em; margin: 0px;">&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">블로그</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;">구글 블로그 검색</p> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;">http://blogsearch.google.com/blogsearch?q=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://navercast.naver.com/science/list" title="http://navercast.naver.com/science/list" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">네이버&nbsp;오늘의과학</a></li> <li style="line-height: 2em;"><a href="http://math.dongascience.com/" title="http://math.dongascience.com/" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">수학동아</a></li> <li style="line-height: 2em;"><a href="http://www.ams.org/mathmoments/" title="http://www.ams.org/mathmoments/" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">Mathematical Moments from the AMS</a></li> <li style="line-height: 2em;"><a href="http://betterexplained.com/" title="http://betterexplained.com/" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">BetterExplained</a></li> </ul> Sun, 13 May 2012 12:11:52 +0900 http://pythagoras0.springnote.com/pages/5900383 http://pythagoras0.springnote.com/pages/5900383 <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%;">이 항목의 수학노트 원문주소</h5> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <ul> <li>경계 조건 또는 초기 조건이 주어진 inhomogeneous 선형미분방정식의 해를 표현하기 위한 함수</li> <li>일반적으로는 distribution</li> <li>예를 들어 heat kernel 은 열방정식의 그린 함수이다</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>상미분방정식에서의 응용</h5> <ul> <li><a href="http://physics.ucsc.edu/%7Epeter/250/gf.pdf">http://physics.ucsc.edu/~peter/250/gf.pdf</a></li> <li><a href="http://sciphy.tistory.com/964">http://sciphy.tistory.com/964</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>편미분방정식에서의 응용</h5> <ul> <li><a href="http://www.phy.duke.edu/%7Ehx3/physics/propagator.pdf" title="http://www.phy.duke.edu/~hx3/physics/propagator.pdf" class="external">Propagator, Green’s function and Correlation</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>열방정식</h5> <ul> <li><a href="/pages/5650131" title="열방정식" class="wiki">열방정식</a> heat kernel 부분에서 가져옴</li> <li> <p style="line-height: 2em; margin: 0px;">무한한 길이의 막대를 가정 <img class="equation" src="http://eq.springnote.com/tex_image?source=-%5Cinfty%3Cx%3C%5Cinfty" alt="-\infty&lt;x&lt;\infty" /></p> </li> <li> <p style="line-height: 2em; margin: 0px;">초기조건 (<img class="equation" src="http://eq.springnote.com/tex_image?source=t%3D0" alt="t=0" />) 에서의 온도분포</p> <p style="line-height: 2em; margin: 0px;"><img class="equation" src="http://eq.springnote.com/tex_image?source=u%28x%2C0%29%3Df%28x%29" alt="u(x,0)=f(x)" /></p> </li> </ul> <ul> <li> <p>heat kernel</p> <p><img class="equation" src="http://eq.springnote.com/tex_image?source=K%28x%2Ct%29%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%20%5Cbeta%20t%7D%7D%5Cexp%5Cleft%28-%5Cfrac%7Bx%5E2%7D%7B4%5Cbeta%20t%7D%5Cright%29" alt="K(x,t)=\frac{1}{\sqrt{2\pi \beta t}}\exp\left(-\frac{x^2}{4\beta t}\right)" /></p> </li> <li> <p>heat kernel 을 이용한 열방정식의 해</p> <p><img class="equation" src="http://eq.springnote.com/tex_image?source=u%28x%2Ct%29%3D%5Cint_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7Df%28y%29K%28x-y%2Ct%29%5C%2Cdy%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B2%20%5Cpi%20%5Cbeta%20t%7D%7D%5Cint_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7Df%28y%29%5Cexp%5Cleft%28-%5Cfrac%7B%28x-y%29%5E2%7D%7B4%5Cbeta%20t%7D%5Cright%29%5C%2Cdy" alt="u(x,t)=\int_{-\infty}^{\infty}f(y)K(x-y,t)\,dy=\frac{1}{\sqrt{2 \pi \beta t}}\int_{-\infty}^{\infty}f(y)\exp\left(-\frac{(x-y)^2}{4\beta t}\right)\,dy" /></p> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>포아송 방정식</h5> <ul> <li><a href="/pages/4980445" title="라플라시안(Laplacian)" class="wiki">라플라시안(Laplacian)</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>맥스웰 방정식</h5> <ul> <li><a href="/pages/4404163" class="wiki" title="맥스웰방정식">맥스웰방정식</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>역사</h5> <ul> <li>&nbsp;</li> <li>1837 그린, study of the propagation of&nbsp;waves in a channel</li> <li>http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=</li> <li><a href="/pages/3304643" title="수학사연표" class="wiki">수학사연표</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>메모</h5> <ul> <li>Green's functions and Linear Differential Equations <a href="http://www.crcpress.com/product/isbn/9781439840085;jsessionid=Unpd7Ho2GLNiLb1781kf6g**">http://www.crcpress.com/product/isbn/9781439840085;jsessionid=Unpd7Ho2GLNiLb1781kf6g**</a></li> <li><a href="http://greensfunction.unl.edu/home/index.html" title="http://greensfunction.unl.edu/home/index.html" class="external">Green's Function Library</a></li> <li><a href="http://greensfunction.unl.edu/home/index.html" title="http://greensfunction.unl.edu/home/index.html" class="external">Green's Function Library: Contents</a> Infinite body, rectangular coordinate transient 1-D.</li> <li>Math Overflow http://mathoverflow.net/search?q=</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <p>&nbsp;</p> <p>&nbsp;</p> <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> <ul> <li> <p>단어사전</p> <ul> <li>http://www.google.com/dictionary?langpair=en|ko&amp;q=</li> <li>http://ko.wiktionary.org/wiki/</li> </ul> </li> <li>발음사전&nbsp;http://www.forvo.com/search/</li> <li> <p style="margin: 0px; line-height: 2em;"><a href="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" title="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회 수학 학술 용어집</a></p> <ul> <li style="line-height: 2em;">http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=eng_term&amp;fstr=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" class="external" title="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA">남·북한수학용어비교</a></li> <li style="line-height: 2em;"><a href="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" class="external" title="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회&nbsp;수학용어한글화 게시판</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>사전 형태의&nbsp;자료</h5> <ul> <li>http://ko.wikipedia.org/wiki/</li> <li><a href="http://en.wikipedia.org/wiki/Poisson%27s_equation">http://en.wikipedia.org/wiki/Poisson's_equation</a></li> <li><a href="http://eom.springer.de/default.htm" title="http://eom.springer.de/default.htm" class="external">The Online Encyclopaedia of Mathematics</a></li> <li><a href="http://dlmf.nist.gov/" class="external" title="http://dlmf.nist.gov">NIST Digital Library of Mathematical Functions</a></li> <li> <p><a href="http://eqworld.ipmnet.ru/" class="external" title="http://eqworld.ipmnet.ru/">The World of Mathematical Equations</a></p> <ul> <li><a href="http://eqworld.ipmnet.ru/en/solutions/lpde/lpde302.pdf" class="external" title="http://eqworld.ipmnet.ru/en/solutions/lpde/lpde302.pdf">Poisson Equation</a></li> </ul> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>리뷰논문, 에세이, 강의노트</h5> <ul> <li><a href="http://www.uh.edu/engines/epi1924.htm">http://www.uh.edu/engines/epi1924.htm</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul> <li>http://www.jstor.org/action/doBasicSearch?Query=</li> <li><a href="http://www.ams.org/mathscinet" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">http://www.ams.org/mathscinet</a></li> <li>http://dx.doi.org/</li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>관련도서</h5> <ul> <li> <p>도서내검색</p> <ul> <li>http://books.google.com/books?q=</li> <li>http://book.daum.net/search/contentSearch.do?query=</li> </ul> </li> </ul> Sun, 13 May 2012 01:21:27 +0900 http://pythagoras0.springnote.com/pages/8365728 http://pythagoras0.springnote.com/pages/8365728 <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%;">이 항목의 수학노트 원문주소</h5> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <p>&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>역사</h5> <p>&nbsp;</p> <ul> <li>http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=</li> <li><a href="/pages/3304643" class="wiki" title="수학사연표">수학사연표</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>메모</h5> <ul> <li><a href="http://www.amazon.com/A-Mathematical-Look-at-Politics/dp/1439819831">http://www.amazon.com/A-Mathematical-Look-at-Politics/dp/1439819831</a></li> <li><a href="http://www.stat.columbia.edu/%7Egelman/research/published/STS027.pdf">http://www.stat.columbia.edu/~gelman/research/published/STS027.pdf</a></li> <li>Math Overflow http://mathoverflow.net/search?q=</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <p>&nbsp;</p> <p>&nbsp;</p> <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> <ul> <li> <p>단어사전</p> <ul> <li>http://translate.google.com/#en|ko|</li> <li>http://ko.wiktionary.org/wiki/</li> </ul> </li> <li>발음사전&nbsp;http://www.forvo.com/search/</li> <li> <p style="margin: 0px; line-height: 2em;"><a href="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" class="external" title="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회 수학 학술 용어집</a></p> <ul> <li style="line-height: 2em;">http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=eng_term&amp;fstr=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://www.kss.or.kr/pds/sec/dic.aspx" title="http://www.kss.or.kr/pds/sec/dic.aspx" class="external">한국통계학회 통계학 용어 온라인 대조표</a></li> <li style="line-height: 2em;"><a href="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" title="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" class="external">남·북한수학용어비교</a></li> <li style="line-height: 2em;"><a href="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" title="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회&nbsp;수학용어한글화 게시판</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>매스매티카 파일 및 계산 리소스</h5> <ul> <li>&nbsp;</li> <li>http://www.wolframalpha.com/input/?i=</li> <li><a href="http://functions.wolfram.com/">http://functions.wolfram.com/</a></li> <li><a href="http://dlmf.nist.gov/" class="external" title="http://dlmf.nist.gov">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://people.math.sfu.ca/%7Ecbm/aands/toc.htm" title="http://people.math.sfu.ca/~cbm/aands/toc.htm" class="external">Abramowitz and Stegun Handbook of mathematical functions</a></li> <li><a href="http://www.research.att.com/%7Enjas/sequences/index.html" title="http://www.research.att.com/~njas/sequences/index.html" class="external">The On-Line Encyclopedia of Integer Sequences</a></li> <li><a href="http://numbers.computation.free.fr/Constants/constants.html" class="external" title="http://numbers.computation.free.fr/Constants/constants.html">Numbers, constants and computation</a></li> <li><a href="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw" class="external" title="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw">매스매티카 파일 목록</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>사전 형태의&nbsp;자료</h5> <ul> <li>http://ko.wikipedia.org/wiki/</li> <li>http://en.wikipedia.org/wiki/</li> <li><a href="http://eom.springer.de/default.htm" class="external" title="http://eom.springer.de/default.htm">The Online Encyclopaedia of Mathematics</a></li> <li><a href="http://dlmf.nist.gov" title="http://dlmf.nist.gov" class="external">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://eqworld.ipmnet.ru/" title="http://eqworld.ipmnet.ru/" class="external">The World of Mathematical Equations</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>리뷰논문, 에세이, 강의노트</h5> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul> <li>http://www.jstor.org/action/doBasicSearch?Query=</li> <li><a href="http://www.ams.org/mathscinet" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">http://www.ams.org/mathscinet</a></li> <li>http://dx.doi.org/</li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>관련도서</h5> <ul> <li> <p>도서내검색</p> <ul> <li>http://books.google.com/books?q=</li> <li>http://book.daum.net/search/contentSearch.do?query=</li> </ul> </li> </ul> Sat, 12 May 2012 11:08:51 +0900 http://pythagoras0.springnote.com/pages/11605568 http://pythagoras0.springnote.com/pages/11605568 <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%;">이 항목의 수학노트 원문주소</h5> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <p>&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>역사</h5> <p>&nbsp;</p> <ul> <li>http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=</li> <li><a href="/pages/3304643" class="wiki" title="수학사연표">수학사연표</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>메모</h5> <ul> <li><a href="http://physik.uni-graz.at/%7Edk-user/workshops/Todtmoos2007/Kaeppeli.pdf">http://physik.uni-graz.at/~dk-user/workshops/Todtmoos2007/Kaeppeli.pdf</a></li> <li>Math Overflow http://mathoverflow.net/search?q=</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <ul> <li><a href="/pages/11491014" class="wiki" title="연속 방정식">연속 방정식</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <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> <ul> <li> <p>단어사전</p> <ul> <li>http://translate.google.com/#en|ko|</li> <li>http://ko.wiktionary.org/wiki/</li> </ul> </li> <li>발음사전&nbsp;http://www.forvo.com/search/</li> <li> <p style="margin: 0px; line-height: 2em;"><a href="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" class="external" title="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회 수학 학술 용어집</a></p> <ul> <li style="line-height: 2em;">http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=eng_term&amp;fstr=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://www.kss.or.kr/pds/sec/dic.aspx" title="http://www.kss.or.kr/pds/sec/dic.aspx" class="external">한국통계학회 통계학 용어 온라인 대조표</a></li> <li style="line-height: 2em;"><a href="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" title="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" class="external">남·북한수학용어비교</a></li> <li style="line-height: 2em;"><a href="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" title="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회&nbsp;수학용어한글화 게시판</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>매스매티카 파일 및 계산 리소스</h5> <ul> <li>&nbsp;</li> <li>http://www.wolframalpha.com/input/?i=</li> <li><a href="http://functions.wolfram.com/">http://functions.wolfram.com/</a></li> <li><a href="http://dlmf.nist.gov/" class="external" title="http://dlmf.nist.gov">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://people.math.sfu.ca/%7Ecbm/aands/toc.htm" title="http://people.math.sfu.ca/~cbm/aands/toc.htm" class="external">Abramowitz and Stegun Handbook of mathematical functions</a></li> <li><a href="http://www.research.att.com/%7Enjas/sequences/index.html" title="http://www.research.att.com/~njas/sequences/index.html" class="external">The On-Line Encyclopedia of Integer Sequences</a></li> <li><a href="http://numbers.computation.free.fr/Constants/constants.html" class="external" title="http://numbers.computation.free.fr/Constants/constants.html">Numbers, constants and computation</a></li> <li><a href="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw" class="external" title="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw">매스매티카 파일 목록</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>사전 형태의&nbsp;자료</h5> <ul> <li>http://ko.wikipedia.org/wiki/</li> <li>http://en.wikipedia.org/wiki/</li> <li><a href="http://eom.springer.de/default.htm" class="external" title="http://eom.springer.de/default.htm">The Online Encyclopaedia of Mathematics</a></li> <li><a href="http://dlmf.nist.gov" title="http://dlmf.nist.gov" class="external">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://eqworld.ipmnet.ru/" title="http://eqworld.ipmnet.ru/" class="external">The World of Mathematical Equations</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>리뷰논문, 에세이, 강의노트</h5> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul> <li>http://www.jstor.org/action/doBasicSearch?Query=</li> <li><a href="http://www.ams.org/mathscinet" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">http://www.ams.org/mathscinet</a></li> <li>http://dx.doi.org/</li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>관련도서</h5> <ul> <li> <p>도서내검색</p> <ul> <li>http://books.google.com/books?q=</li> <li>http://book.daum.net/search/contentSearch.do?query=</li> </ul> </li> </ul> Sat, 12 May 2012 05:55:49 +0900 http://pythagoras0.springnote.com/pages/11606054 http://pythagoras0.springnote.com/pages/11606054 <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%;">이 항목의 수학노트 원문주소</h5> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <p>&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>역사</h5> <p>&nbsp;</p> <ul> <li>http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=</li> <li><a href="/pages/3304643" class="wiki" title="수학사연표">수학사연표</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>메모</h5> <ul> <li><a href="http://www.amazon.com/dp/1420087959/?tag=googhydr-20&amp;hvadid=18617420490&amp;hvpos=1o1&amp;hvexid=&amp;hvnetw=g&amp;hvrand=10187272431802045612&amp;hvpone=72.20&amp;hvptwo=&amp;hvqmt=b&amp;ref=pd_sl_8i1za77u69_b">Biological Computation</a></li> <li><a href="http://www.amazon.com/Computational-Hydrodynamics-Capsules-Biological-Mathematical/dp/1439820058" class="external" title="http://www.amazon.com/Computational-Hydrodynamics-Capsules-Biological-Mathematical/dp/1439820058">Computational Hydrodynamics of Capsules and Biological Cells</a></li> <li>Math Overflow http://mathoverflow.net/search?q=</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <p>&nbsp;</p> <p>&nbsp;</p> <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> <ul> <li> <p>단어사전</p> <ul> <li>http://translate.google.com/#en|ko|</li> <li>http://ko.wiktionary.org/wiki/</li> </ul> </li> <li>발음사전&nbsp;http://www.forvo.com/search/</li> <li> <p style="margin: 0px; line-height: 2em;"><a href="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" class="external" title="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회 수학 학술 용어집</a></p> <ul> <li style="line-height: 2em;">http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=eng_term&amp;fstr=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://www.kss.or.kr/pds/sec/dic.aspx" title="http://www.kss.or.kr/pds/sec/dic.aspx" class="external">한국통계학회 통계학 용어 온라인 대조표</a></li> <li style="line-height: 2em;"><a href="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" title="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" class="external">남·북한수학용어비교</a></li> <li style="line-height: 2em;"><a href="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" title="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회&nbsp;수학용어한글화 게시판</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>매스매티카 파일 및 계산 리소스</h5> <ul> <li>&nbsp;</li> <li>http://www.wolframalpha.com/input/?i=</li> <li><a href="http://functions.wolfram.com/">http://functions.wolfram.com/</a></li> <li><a href="http://dlmf.nist.gov/" class="external" title="http://dlmf.nist.gov">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://people.math.sfu.ca/%7Ecbm/aands/toc.htm" title="http://people.math.sfu.ca/~cbm/aands/toc.htm" class="external">Abramowitz and Stegun Handbook of mathematical functions</a></li> <li><a href="http://www.research.att.com/%7Enjas/sequences/index.html" title="http://www.research.att.com/~njas/sequences/index.html" class="external">The On-Line Encyclopedia of Integer Sequences</a></li> <li><a href="http://numbers.computation.free.fr/Constants/constants.html" class="external" title="http://numbers.computation.free.fr/Constants/constants.html">Numbers, constants and computation</a></li> <li><a href="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw" class="external" title="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw">매스매티카 파일 목록</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>사전 형태의&nbsp;자료</h5> <ul> <li>http://ko.wikipedia.org/wiki/</li> <li>http://en.wikipedia.org/wiki/</li> <li><a href="http://eom.springer.de/default.htm" class="external" title="http://eom.springer.de/default.htm">The Online Encyclopaedia of Mathematics</a></li> <li><a href="http://dlmf.nist.gov" title="http://dlmf.nist.gov" class="external">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://eqworld.ipmnet.ru/" title="http://eqworld.ipmnet.ru/" class="external">The World of Mathematical Equations</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>리뷰논문, 에세이, 강의노트</h5> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul> <li>http://www.jstor.org/action/doBasicSearch?Query=</li> <li><a href="http://www.ams.org/mathscinet" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">http://www.ams.org/mathscinet</a></li> <li>http://dx.doi.org/</li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>관련도서</h5> <ul> <li> <p>도서내검색</p> <ul> <li>http://books.google.com/books?q=</li> <li>http://book.daum.net/search/contentSearch.do?query=</li> </ul> </li> </ul> Sat, 12 May 2012 05:25:56 +0900 http://pythagoras0.springnote.com/pages/11605952 http://pythagoras0.springnote.com/pages/11605952 <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%;">이 항목의 수학노트 원문주소</h5> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>Gradshteyn and Ryzhik's Table of Integrals, Series, and Products</h5> <ul> <li><a href="http://www.stephenwolfram.com/publications/recent/specialfunctions/" class="external" title="http://www.stephenwolfram.com/publications/recent/specialfunctions/">The History and Future of Special Functions</a> Stephen Wolfram, 2005</li> <li><a href="/pages/2978866" title="적분의 주제들" class="wiki">적분의 주제들</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>Oxford Users' Guide to Mathematics</h5> <ul> <li><a href="http://web.cs.dal.ca/%7Ejborwein/userguide.pdf">http://web.cs.dal.ca/~jborwein/userguide.pdf</a></li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>역사</h5> <p>&nbsp;</p> <ul> <li>http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=</li> <li><a href="/pages/3304643" class="wiki" title="수학사연표">수학사연표</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>메모</h5> <ul> <li><a href="http://www.amazon.com/Standard-Mathematical-Formulae-Mathematics-Applications/dp/1439835489/ref=dp_ob_title_bk">http://www.amazon.com/Standard-Mathematical-Formulae-Mathematics-Applications/dp/1439835489/ref=dp_ob_title_bk</a></li> <li><a href="http://www.math-atlas.org/" class="external" title="http://www.math-atlas.org/">The Mathematical Atlas</a></li> <li><a href="http://www.mathematica-journal.com/issue/v10i3/contents/MathWorld/MathWorld.pdf">http://www.mathematica-journal.com/issue/v10i3/contents/MathWorld/MathWorld.pdf</a></li> <li>Math Overflow http://mathoverflow.net/search?q=</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <ul> <li><a href="/pages/1963936" title="직교다항식과 special functions" class="wiki">직교다항식과 special functions</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <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> <ul> <li> <p>단어사전</p> <ul> <li>http://translate.google.com/#en|ko|</li> <li>http://ko.wiktionary.org/wiki/</li> </ul> </li> <li>발음사전&nbsp;http://www.forvo.com/search/</li> <li> <p style="margin: 0px; line-height: 2em;"><a href="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" class="external" title="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회 수학 학술 용어집</a></p> <ul> <li style="line-height: 2em;">http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=eng_term&amp;fstr=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://www.kss.or.kr/pds/sec/dic.aspx" title="http://www.kss.or.kr/pds/sec/dic.aspx" class="external">한국통계학회 통계학 용어 온라인 대조표</a></li> <li style="line-height: 2em;"><a href="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" title="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" class="external">남·북한수학용어비교</a></li> <li style="line-height: 2em;"><a href="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" title="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회&nbsp;수학용어한글화 게시판</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>사전 형태의&nbsp;자료</h5> <ul> <li>http://ko.wikipedia.org/wiki/</li> <li>http://en.wikipedia.org/wiki/</li> <li><a href="http://eom.springer.de/default.htm" class="external" title="http://eom.springer.de/default.htm">The Online Encyclopaedia of Mathematics</a></li> <li><a href="http://dlmf.nist.gov/" title="http://dlmf.nist.gov" class="external">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://eqworld.ipmnet.ru/" title="http://eqworld.ipmnet.ru/" class="external">The World of Mathematical Equations</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>리뷰논문, 에세이, 강의노트</h5> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul> <li>http://www.jstor.org/action/doBasicSearch?Query=</li> <li><a href="http://www.ams.org/mathscinet" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">http://www.ams.org/mathscinet</a></li> <li>http://dx.doi.org/</li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>관련도서</h5> <ul> <li> <p>도서내검색</p> <ul> <li>http://books.google.com/books?q=</li> <li>http://book.daum.net/search/contentSearch.do?query=</li> </ul> </li> </ul> Sat, 12 May 2012 05:14:10 +0900 http://pythagoras0.springnote.com/pages/9875318 http://pythagoras0.springnote.com/pages/9875318 <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%;">이 항목의 수학노트 원문주소</h5> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <p>&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>역사</h5> <p>&nbsp;</p> <ul> <li>http://www.google.com/search?hl=en&amp;tbs=tl:1&amp;q=</li> <li><a href="/pages/3304643" class="wiki" title="수학사연표">수학사연표</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>메모</h5> <ul> <li><a href="http://www.amazon.com/Mathematics-Environment-Martin-Walter/dp/1439834725">http://www.amazon.com/Mathematics-Environment-Martin-Walter/dp/1439834725</a></li> <li>Math Overflow http://mathoverflow.net/search?q=</li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <p>&nbsp;</p> <p>&nbsp;</p> <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> <ul> <li> <p>단어사전</p> <ul> <li>http://translate.google.com/#en|ko|</li> <li>http://ko.wiktionary.org/wiki/</li> </ul> </li> <li>발음사전&nbsp;http://www.forvo.com/search/</li> <li> <p style="margin: 0px; line-height: 2em;"><a href="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" class="external" title="http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=&amp;fstr=" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회 수학 학술 용어집</a></p> <ul> <li style="line-height: 2em;">http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&amp;ftype=eng_term&amp;fstr=</li> </ul> </li> <li style="line-height: 2em;"><a href="http://www.kss.or.kr/pds/sec/dic.aspx" title="http://www.kss.or.kr/pds/sec/dic.aspx" class="external">한국통계학회 통계학 용어 온라인 대조표</a></li> <li style="line-height: 2em;"><a href="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" title="http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&amp;s_code_cd=MA" class="external">남·북한수학용어비교</a></li> <li style="line-height: 2em;"><a href="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" title="http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid={D6048897-56F9-43D7-8BB6-50B362D1243A}&amp;boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&amp;globalmenu=7&amp;localmenu=4" class="external" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">대한수학회&nbsp;수학용어한글화 게시판</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>매스매티카 파일 및 계산 리소스</h5> <ul> <li>&nbsp;</li> <li>http://www.wolframalpha.com/input/?i=</li> <li><a href="http://functions.wolfram.com/">http://functions.wolfram.com/</a></li> <li><a href="http://dlmf.nist.gov/" class="external" title="http://dlmf.nist.gov">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://people.math.sfu.ca/%7Ecbm/aands/toc.htm" title="http://people.math.sfu.ca/~cbm/aands/toc.htm" class="external">Abramowitz and Stegun Handbook of mathematical functions</a></li> <li><a href="http://www.research.att.com/%7Enjas/sequences/index.html" title="http://www.research.att.com/~njas/sequences/index.html" class="external">The On-Line Encyclopedia of Integer Sequences</a></li> <li><a href="http://numbers.computation.free.fr/Constants/constants.html" class="external" title="http://numbers.computation.free.fr/Constants/constants.html">Numbers, constants and computation</a></li> <li><a href="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw" class="external" title="https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw">매스매티카 파일 목록</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>사전 형태의&nbsp;자료</h5> <ul> <li>http://ko.wikipedia.org/wiki/</li> <li>http://en.wikipedia.org/wiki/</li> <li><a href="http://eom.springer.de/default.htm" class="external" title="http://eom.springer.de/default.htm">The Online Encyclopaedia of Mathematics</a></li> <li><a href="http://dlmf.nist.gov" title="http://dlmf.nist.gov" class="external">NIST Digital Library of Mathematical Functions</a></li> <li><a href="http://eqworld.ipmnet.ru/" title="http://eqworld.ipmnet.ru/" class="external">The World of Mathematical Equations</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>리뷰논문, 에세이, 강의노트</h5> <p>&nbsp;</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul> <li>http://www.jstor.org/action/doBasicSearch?Query=</li> <li><a href="http://www.ams.org/mathscinet" style="line-height: 2em; color: rgb(86, 137, 66) ! important; text-decoration: underline; cursor: pointer ! important;">http://www.ams.org/mathscinet</a></li> <li>http://dx.doi.org/</li> </ul> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <p style="margin: 0px; line-height: 2em;">&nbsp;</p> <h5>관련도서</h5> <ul> <li> <p>도서내검색</p> <ul> <li>http://books.google.com/books?q=</li> <li>http://book.daum.net/search/contentSearch.do?query=</li> </ul> </li> </ul> Sat, 12 May 2012 05:12:15 +0900 http://pythagoras0.springnote.com/pages/11605676 http://pythagoras0.springnote.com/pages/11605676 <div id="subPageDiv" style="background-color: rgb(255, 255, 250); border: 1px solid tan; padding: 2px 10px 0px;"> <h4>하위페이지</h4> <ul> <li> <p><a href="/pages/7146777" title="45 수학과 여러 학문의 관계" class="wiki">45 수학과 여러 학문의 관계</a></p> <ul> <li> <p><a href="/pages/10280152" title="수학과 문학" class="wiki">수학과 문학</a></p> </li> <li> <p><a href="/pages/6277967" title="수학과 물리학" class="wiki">수학과 물리학</a></p> </li> <li> <p><a href="/pages/3780263" title="수학과 미술" class="wiki">수학과 미술</a></p> </li> <li> <p><a href="/pages/7061605" title="수학과 분광학" class="wiki">수학과 분광학</a></p> </li> <li> <p><a href="/pages/1950792" title="수학과 음악" class="wiki">수학과 음악</a></p> </li> <li> <p><a href="/pages/3065000" title="수학과 지도학" class="wiki">수학과 지도학</a></p> </li> <li> <p><a href="/pages/7145363" title="수학과 천문학" class="wiki">수학과 천문학</a></p> </li> <li> <p><a href="/pages/7159865" title="수학과 측량학" class="wiki">수학과 측량학</a></p> </li> <li> <p><a href="/pages/4878685" title="수학과 화학" class="wiki">수학과 화학</a></p> </li> </ul> </li> </ul> <p>&nbsp;</p> </div> <p>&nbsp;</p> <ul> <li><a href="/pages/3780331" class="wiki" title="수학과 과학, 유용성">수학과 과학, 유용성</a></li> </ul> <p>&nbsp;</p> <h5>관련기사</h5> <ul> <li><a href="http://www.hankyung.com/news/app/newsview.php?aid=2012040588391">(57) 금융 분야에 수학이 도입된 사연은?</a></li> <li><a href="http://www.guardian.co.uk/science/2012/feb/12/black-scholes-equation-credit-crunch?CMP=twt_gu" class="external" title="http://www.guardian.co.uk/science/2012/feb/12/black-scholes-equation-credit-crunch?CMP=twt_gu">The mathematical equation that caused the banks to crash</a></li> <li> <p>네이버 뉴스 검색 (키워드 수정)</p> <ul> <li><a href="http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=%EC%98%88%EC%88%A0%EC%86%8D%EC%88%98%ED%95%99%EC%9D%B4%EC%95%BC%EA%B8%B0">http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=예술속수학이야기</a></li> <li>http://news.search.naver.com/search.naver?where=news&amp;x=0&amp;y=0&amp;sm=tab_hty&amp;query=</li> </ul> </li> </ul> Sat, 12 May 2012 05:08:02 +0900 http://pythagoras0.springnote.com/pages/7146777 http://pythagoras0.springnote.com/pages/7146777 <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">이 항목의 스프링노트&nbsp;원문주소</h5> <ul> <li><a href="/pages/1992824" title="차분방정식" class="wiki">차분방정식</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>개요</h5> <ul> <li>수열의 합을 다루는 데 유용한 테크닉</li> <li>finite calculus 라는 이름으로 불리기도 함.</li> <li> <p>미적분학의 개념과 대응되는 점이 있음.</p> <ul> <li>계차수열 ~ 미분</li> <li>부분합 ~ 적분</li> </ul> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>계차수열</h5> <p>F, f 는 다음 조건을 만족하는 두 수열이다.</p> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5CDelta%20F%3Df" alt="\Delta F=f" />&nbsp;즉 <img class="equation" src="http://eq.springnote.com/tex_image?source=f%28n%29%3DF%28n%2B1%29-F%28n%29" alt="f(n)=F(n+1)-F(n)" /></p> <p>미분의 역연산을 부정적분으로 정의하듯이, 계차수열이 f 가 되는 수열 F를&nbsp;<img class="equation" src="http://eq.springnote.com/tex_image?source=%5CDelta%20F%3Df" alt="\Delta F=f" style="line-height: 2em; border-width: 0px; border-style: none;" />&nbsp;로 표현하자.</p> <p>&nbsp;</p> <p>(정리)</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>수열의 부분합</h5> <p>수열 f 에 대하여</p> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Csum_%7Bn%3Da%7D%5E%7Bb-1%7Df%28n%29" alt="\sum_{n=a}^{b-1}f(n)" /></p> <p>는 정적분에 대응되는 개념으로 이해할 수 있다</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>Calculus of Finite Dfference의 기본정리</h5> <p>두 수열 F, f 가&nbsp;<img class="equation" src="http://eq.springnote.com/tex_image?source=%5CDelta%20F%3Df" alt="\Delta F=f" style="line-height: 2em;" />를 만족하면,</p> <p style="margin-left: 2em;"><img class="equation" src="http://eq.springnote.com/tex_image?source=%5Csum_%7Bn%3Da%7D%5E%7Bb-1%7Df%28n%29%3DF%28b%29-F%28a%29" alt="\sum_{n=a}^{b-1}f(n)=F(b)-F(a)" /></p> <p>가 성립한다.</p> <p>&nbsp;</p> <p>&nbsp;</p> <h5>증명</h5> <p><img class="equation" src="http://eq.springnote.com/tex_image?source=F%28b%29-F%28a%29%3DF%28b%29-F%28b-1%29%2BF%28b-1%29-F%28b-2%29%2BF%28b-2%29%2B%5Ccdots%2BF%28a%2B1%29-F%28a%29%3Df%28b-1%29%2Bf%28b-2%29%2B%5Ccdots%20f%28a%29%3D%0A%5Csum_%7Bn%3Da%7D%5E%7Bb-1%7Df%28n%29" alt="F(b)-F(a)=F(b)-F(b-1)+F(b-1)-F(b-2)+F(b-2)+\cdots+F(a+1)-F(a)=f(b-1)+f(b-2)+\cdots f(a)= \sum_{n=a}^{b-1}f(n)" /></p> <p>■</p> <p>&nbsp;</p> <p style="margin-left: 2em;">&nbsp;</p> <div id="subPageDiv" style="background-color: rgb(255, 255, 250); border: 1px solid tan; padding: 2px 10px 0px;"> <h4>하위페이지</h4> <ul> <li> <p><a href="/pages/1992824" class="wiki" title="차분방정식(difference equation) 과 유한미적분학 (finite calculus)">차분방정식(difference equation) 과 유한미적분학 (finite calculus)</a></p> <ul> <li> <p><a href="/pages/1992844" class="wiki" title="거듭제곱의 합을 구하는 공식">거듭제곱의 합을 구하는 공식</a></p> </li> <li> <p><a href="/pages/4346717" class="wiki" title="베르누이 다항식">베르누이 다항식</a></p> </li> <li> <p><a href="/pages/2963330" class="wiki" title="베르누이 수">베르누이 수</a></p> </li> <li> <p><a href="/pages/2637804" class="wiki" title="오일러-맥클로린 공식">오일러-맥클로린 공식</a></p> </li> <li> <p><a href="/pages/4206107" class="wiki" title="오일러수">오일러수</a></p> </li> </ul> </li> </ul> <p>&nbsp;</p> </div> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 학부 과목과 미리 알고 있으면 좋은 것들</h5> <ul> <li><a href="/pages/1987418" title="수열" class="wiki">수열</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련된 항목들</h5> <ul> <li><a href="/pages/1992844" class="wiki" title="Sum of powers">Sum of powers</a></li> <li><a href="/pages/1987712" class="wiki" title="생성함수">생성함수</a></li> <li><a href="/pages/2679350" class="wiki" title="스털링 공식">스털링 공식</a></li> <li><a href="/pages/3767493" class="wiki" title="Digamma 함수">Digamma 함수</a></li> <li><a href="/pages/3925671" title="미적분학의 기본정리" class="wiki">미적분학의 기본정리</a></li> <li><a href="/pages/5012319" title="q-적분 (잭슨 적분, Jackson integral)" class="wiki">q-적분 (잭슨 적분, Jackson integral)</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>사전형태의 자료</h5> <ul> <li><a href="http://en.wikipedia.org/wiki/finite_calculus">http://en.wikipedia.org/wiki/finite_calculus</a></li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5>관련논문</h5> <ul id="journalInfo"> <li class="title"> <p><a href="/pages/1992824/attachments/894886" title="finite_differnece_calculus__A_Primer_of_Analytic_Number_Theory.pdf" class="attachment">The Finite Calculus</a></p> <ul> <li class="title">From the book '<em style="">A Primer of Analytic Number Theory</em>' 1.2</li> </ul> </li> <li class="title"> <p><a href="http://www.jstor.org/stable/2686229" title="http://www.jstor.org/stable/2686229" class="external">Using the Finite Difference Calculus to Sum Powers of Integers</a></p> <ul> <li class="author">Lee Zia,&nbsp;<cite>The College Mathematics Journal</cite>, Vol. 22, No. 4 (Sep., 1991), pp. 294-300</li> </ul> </li> </ul> <ul id="journalInfo"> <li class="title"> <p><a href="http://www.jstor.org/stable/2686717" class="external" title="http://www.jstor.org/stable/2686717">Sums and Differences vs. Integrals and Derivatives</a></p> <ul> <li class="author">Gilbert Strang,&nbsp;<cite>The College Mathematics Journal</cite>, Vol. 21, No. 1 (Jan., 1990), pp. 20-27</li> </ul> </li> </ul> <ul> <li class="title"> <p><a href="http://www.jstor.org/stable/2970749" title="http://www.jstor.org/stable/2970749" class="external">An Elementary Exposition of the Theory of Finite Differences</a></p> <ul> <li class="author">Saul Epsteen,&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 11, No. 6/7 (Jun. - Jul., 1904), pp. 131-136</li> </ul> </li> <li class="title"> <p><a href="http://www.jstor.org/stable/3026439" title="http://www.jstor.org/stable/3026439" class="external">Telescoping Sums and the Summation of Sequences</a></p> <ul> <li class="author">G. Baley Price,&nbsp;<cite>The Two-Year College Mathematics Journal</cite>, Vol. 4, No. 2 (Spring, 1973), pp. 16-29</li> </ul> </li> <li class="title"> <p><a href="http://www.jstor.org/stable/2690625" title="http://www.jstor.org/stable/2690625" class="external">The Euler-Maclaurin and Taylor Formulas: Twin, Elementary Derivations</a></p> <ul> <li class="author">Vito Lampret,&nbsp;<cite>Mathematics Magazine</cite>, Vol. 74, No. 2 (Apr., 2001), pp. 109-122</li> </ul> </li> <li class="title"> <p><a href="http://www.jstor.org/stable/2301097" title="http://www.jstor.org/stable/2301097" class="external">An Euler Summation Formula</a></p> <ul> <li class="author">Irwin Roman,&nbsp;<cite>The American Mathematical Monthly</cite>, Vol. 43, No. 1 (Jan., 1936), pp. 9-21</li> </ul> </li> </ul> <p>&nbsp;</p> <p>&nbsp;</p> <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">블로그</h5> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;"><a href="http://cjackal.tistory.com/154">http://cjackal.tistory.com/154</a></li> <li style="line-height: 2em;"> <p style="line-height: 2em; margin: 0px;">구글 블로그 검색</p> <ul style="line-height: 2em; margin: 0px; padding: 0px 0px 0px 24px;"> <li style="line-height: 2em;"><a href="http://blogsearch.google.com/blogsearch?q=finite+calculus">http://blogsearch.google.com/blogsearch?q=finite+calculus</a></li> <li style="line-height: 2em;">http://blogsearch.google.com/blogsearch?q=</li> </ul> </li> </ul> <p>&nbsp;</p> Sat, 12 May 2012 02:20:33 +0900 http://pythagoras0.springnote.com/pages/1992824 http://pythagoras0.springnote.com/pages/1992824