적분의 주제들 - 편집 역사

2020년 11월 13일 (금) 14:15에 Pythagoras0님의 편집

2020-11-13T14:15:54Z

2015년 12월 28일 (월) 07:04에 Pythagoras0님의 편집

2015-12-28T07:04:42Z

Pythagoras0: /* 관련논문 */

2015-08-04T04:42:18Z

Pythagoras0: /* 메모 */

2015-07-27T05:47:42Z

메모

Pythagoras0: /* 관련도서 */

2015-03-28T12:15:08Z

Pythagoras0: /* 관련논문 */

2014-11-20T02:23:31Z

Pythagoras0: /* 관련논문 */

2014-11-20T02:23:05Z

2013년 3월 26일 (화) 09:30에 Pythagoras0님의 편집

2013-03-26T09:30:31Z

2013년 3월 26일 (화) 00:27에 Pythagoras0님의 편집

2013-03-26T00:27:13Z

2013년 2월 11일 (월) 16:13에 Pythagoras0님의 편집

2013-02-11T16:13:22Z

@@ 48번째 줄: / 48번째 줄: @@
 * [http://www.strw.leidenuniv.nl/%7Emathar/public/mathar20071105.pdf http://www.strw.leidenuniv.nl/~mathar/public/mathar20071105.pdf]
 * [http://crd.lbl.gov/%7Edhbailey/expmath/maa-course/Moll-MAA.pdf http://crd.lbl.gov/~dhbailey/expmath/maa-course/Moll-MAA.pdf]
-* Scarpello, Giovanni Mingari, and Daniele Ritelli. “New Hypergeometric Formulae to $\pi$ Arising from M. Roberts Hyperelliptic Reductions.” arXiv:1507.06681 [math], July 23, 2015. http://arxiv.org/abs/1507.06681.
+* Scarpello, Giovanni Mingari, and Daniele Ritelli. “New Hypergeometric Formulae to <math>\pi</math> Arising from M. Roberts Hyperelliptic Reductions.” arXiv:1507.06681 [math], July 23, 2015. http://arxiv.org/abs/1507.06681.
 ==관련된 대학원 과목==

@@ 86번째 줄: / 86번째 줄: @@
-==관련논문==
+==리뷰, 에세이, 강의노트==
 * Gonzalez, Ivan, Lin Jiu, and Victor H. Moll. “Pochhammer Symbol with Negative Indices. A New Rule for the Method of Brackets.” arXiv:1508.00056 [math], July 31, 2015. http://arxiv.org/abs/1508.00056.
 * Ahmed, Zafar. ‘Ahmed’s Integral: The Maiden Solution’. arXiv:1411.5169 Null, 19 November 2014. http://arxiv.org/abs/1411.5169.
@@ 95번째 줄: / 95번째 줄: @@
 * [http://www.springerlink.com/content/t285842772wv0767/ On Some Integrals Involving the Hurwitz Zeta Function: Part 2]
 ** Olivier Espinosa  and Victor H. Moll
-* [http://www.math.tulane.edu/%7Evhm/papers_html/fea-moll.pdf The Evaluation of Integrals: A Personal Story]
+* Victor Moll, [http://www.math.tulane.edu/%7Evhm/papers_html/fea-moll.pdf The Evaluation of Integrals: A Personal Story], Notices Amer. Math. Soc. 49(3) (2002) 311-317
-** Victor Moll, Notices Amer. Math. Soc. 49(3) (2002) 311-317
+* Shenitzer, A., and J. Steprans. “The Evolution of Integration.” The American Mathematical Monthly 101, no. 1 (1994): 66–72. doi:10.2307/2325128. http://www.jstor.org/stable/2325128
-* [http://www.jstor.org/stable/2325128 The Evolution of Integration]
+* Abramowitz, Milton. “On the Practical Evaluation of Integrals.” Society for Industrial and Applied Mathematics. Journal of the Society of Industrial and Applied Mathematics 2, no. 1 (March 1954): 16. doi:http://dx.doi.org/10.1137/0102003.
-** A. Shenitzer and J. Steprans, The American Mathematical Monthly, Vol. 101, No. 1 (Jan., 1994), pp. 66-72
 [[분류:적분]]

@@ 87번째 줄: / 87번째 줄: @@
 ==관련논문==
 * Ahmed, Zafar. ‘Ahmed’s Integral: The Maiden Solution’. arXiv:1411.5169 Null, 19 November 2014. http://arxiv.org/abs/1411.5169.
 * [http://www.ams.org/notices/201004/rtx100400476p.pdf Seized Opportunities]

@@ 48번째 줄: / 48번째 줄: @@
 * [http://www.strw.leidenuniv.nl/%7Emathar/public/mathar20071105.pdf http://www.strw.leidenuniv.nl/~mathar/public/mathar20071105.pdf]
 * [http://crd.lbl.gov/%7Edhbailey/expmath/maa-course/Moll-MAA.pdf http://crd.lbl.gov/~dhbailey/expmath/maa-course/Moll-MAA.pdf]
+* Scarpello, Giovanni Mingari, and Daniele Ritelli. “New Hypergeometric Formulae to $\pi$ Arising from M. Roberts Hyperelliptic Reductions.” arXiv:1507.06681 [math], July 23, 2015. http://arxiv.org/abs/1507.06681.
 ==관련된 대학원 과목==

@@ 76번째 줄: / 76번째 줄: @@
 ==관련도서==
+* Nahin, Paul J. Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and ... 2015 edition. New York: Springer, 2014.
-* [http://books.google.com/books?id=DQd4wfV7fo0C Handbook of Integration]
+* Zwillinger, Daniel. The Handbook of Integration. Taylor & Francis, 1992.  http://books.google.com/books?id=DQd4wfV7fo0C
-**  Daniel Zwillinger, 1992
+* Boros, George, and Victor Moll. Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals. 1 edition. Cambridge, UK ; New York: Cambridge University Press, 2004. http://www.amazon.com/Irresistible-Integrals-Symbolics-Experiments-Evaluation/dp/0521796369
 * [http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=Galois%27 http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=Galois']
 ==관련웹페이지==

@@ 98번째 줄: / 98번째 줄: @@
 ==관련논문==
+* http://arxiv.org/abs/1411.5169
 * [http://www.ams.org/notices/201004/rtx100400476p.pdf Seized Opportunities]
 ** Victor H. Moll, Notices of the AMS, Apr. 2010
@@ 109번째 줄: / 109번째 줄: @@
 * [http://www.jstor.org/stable/2325128 The Evolution of Integration]
 ** A. Shenitzer and J. Steprans, The American Mathematical Monthly, Vol. 101, No. 1 (Jan., 1994), pp. 66-72
 ==블로그==

@@ 4번째 줄: / 4번째 줄: @@
 * [[복소함수론]]
-−
-−
 ==부정적분의 기술==
@@ 12번째 줄: / 12번째 줄: @@
 * [[오일러 치환]]
 * [[삼각치환]]
-* [[다이로그 함수와 부정적분]]<br>
+* [[다이로그 함수와 부정적분]]
-* [[역함수를 이용한 치환적분분]]
+* [[역함수를 이용한 치환적분]]
 * [[부정적분의 초등함수 표현(Integration in finite terms)]]
-−
-−
 ==다양한 정적분의 계산==
-* [[로그 사인 적분 (log sine integrals)]] :<math>\int_{0}^{\pi/2}\log^2(\sin x)\,dx=\frac{\pi}{2}(\log 2)^2+\frac{\pi^3}{24}</math><br>
+* [[로그 사인 적분 (log sine integrals)]] :<math>\int_{0}^{\pi/2}\log^2(\sin x)\,dx=\frac{\pi}{2}(\log 2)^2+\frac{\pi^3}{24}</math>
-* [[로그 탄젠트 적분(log tangent integral)]] :<math>\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{\pi}{2}\ln \left(\frac{\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})}\sqrt{2\pi}\right)</math> :<math>\int_0^{\infty}\frac{\log^2 x}{1+x^2} dx = \frac{ \pi^3}{8}</math><br>
+* [[로그 탄젠트 적분(log tangent integral)]] :<math>\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{\pi}{2}\ln \left(\frac{\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})}\sqrt{2\pi}\right)</math> :<math>\int_0^{\infty}\frac{\log^2 x}{1+x^2} dx = \frac{ \pi^3}{8}</math>
-* [[다이로그 함수(dilogarithm)|다이로그 함수(dilogarithm )]] :<math>\int_{0}^{\infty}\log(1+e^{-x})\,dx=\frac{\pi^2}{12}</math><br>
+* [[다이로그 함수(dilogarithm)|다이로그 함수(dilogarithm )]] :<math>\int_{0}^{\infty}\log(1+e^{-x})\,dx=\frac{\pi^2}{12}</math>
-* [[가우시안 적분]] :<math>\int_{-\infty}^{\infty}e^{-\frac{x^2}{2}}dx=\sqrt{2\pi}</math><br>
+* [[가우시안 적분]] :<math>\int_{-\infty}^{\infty}e^{-\frac{x^2}{2}}dx=\sqrt{2\pi}</math>
-* [[라마누잔의 정적분]] :<math>\int_{0}^{\infty}\frac{x e^{-\sqrt{5}x}}{\cosh{x}}\,dx=\frac{1}{8}(\psi^{(1)}(\frac{1+\sqrt{5}}{4})-\psi^{(1)}(\frac{3+\sqrt{5}}{4}))</math><br>
+* [[라마누잔의 정적분]] :<math>\int_{0}^{\infty}\frac{x e^{-\sqrt{5}x}}{\cosh{x}}\,dx=\frac{1}{8}(\psi^{(1)}(\frac{1+\sqrt{5}}{4})-\psi^{(1)}(\frac{3+\sqrt{5}}{4}))</math>
-* [[로그함수와 유리함수가 있는 정적분]] :<math>\int_{0}^{\infty}\frac{\ln(x^{2}+1)}{x^{2}+1}\,dx=\pi\ln2</math><br>
+* [[로그함수와 유리함수가 있는 정적분]] :<math>\int_{0}^{\infty}\frac{\ln(x^{2}+1)}{x^{2}+1}\,dx=\pi\ln2</math>
-−
-−
 ==Gradshteyn and Ryzhik==
-* [http://www.math.tulane.edu/%7Evhm/Table.html http://www.math.tulane.edu/~vhm/Table.html]<br>
+* [http://www.math.tulane.edu/%7Evhm/Table.html http://www.math.tulane.edu/~vhm/Table.html]
-* [http://www.math.tulane.edu/%7Evhm/web_html/directory.html Directory of notes on the integrals in GR]<br>
+* [http://www.math.tulane.edu/%7Evhm/web_html/directory.html Directory of notes on the integrals in GR]
-* http://arxiv.org/find/math/1/au:+Moll_V/0/1/0/all/0/1<br>
+* http://arxiv.org/find/math/1/au:+Moll_V/0/1/0/all/0/1
-* [http://arxiv.org/abs/0704.3872v2 The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals.]<br>
+* [http://arxiv.org/abs/0704.3872v2 The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals.]
-**  Victor H. Moll<br>
+**  Victor H. Moll
-−
 ==메모==
@@ 49번째 줄: / 49번째 줄: @@
 * [http://crd.lbl.gov/%7Edhbailey/expmath/maa-course/Moll-MAA.pdf http://crd.lbl.gov/~dhbailey/expmath/maa-course/Moll-MAA.pdf]
-−
-−
 ==관련된 대학원 과목==
@@ 57번째 줄: / 57번째 줄: @@
 * differential Galois theory
-−
-−
 ==관련된 항목들==
@@ 67번째 줄: / 67번째 줄: @@
 * [[삼각치환]]
 * [[감마함수]]
-* [[다이로그 함수(dilogarithm)m )]]
+* [[다이로그 함수(dilogarithm)]]
 * [[L-함수, 제타함수와 디리클레 급수]]
 * [[초기하급수(Hypergeometric series)]]
-−
-−
 ==관련도서==
-* [http://books.google.com/books?id=DQd4wfV7fo0C Handbook of Integration]<br>
+* [http://books.google.com/books?id=DQd4wfV7fo0C Handbook of Integration]
-**  Daniel Zwillinger, 1992
+**  Daniel Zwillinger, 1992
-* [http://www.amazon.com/Irresistible-Integrals-Symbolics-Experiments-Evaluation/dp/0521796369 Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals]<br>
+* [http://www.amazon.com/Irresistible-Integrals-Symbolics-Experiments-Evaluation/dp/0521796369 Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals]
 ** George Boros and Victor Moll, 2004
 * [http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=Galois%27 http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=Galois']
-−
-−
-−
 ==관련웹페이지==
@@ 93번째 줄: / 93번째 줄: @@
 * http://integrals.wolfram.com/index.jsp
-−
-−
 ==관련논문==
-* [http://www.ams.org/notices/201004/rtx100400476p.pdf Seized Opportunities]<br>
+* [http://www.ams.org/notices/201004/rtx100400476p.pdf Seized Opportunities]
-** Victor H. Moll, Notices of the AMS, Apr. 2010
+** Victor H. Moll, Notices of the AMS, Apr. 2010
-* [http://www.springerlink.com/content/wql8d40h20jljxp2/ On Some Integrals Involving the Hurwitz Zeta Function: Part 1]<br>
+* [http://www.springerlink.com/content/wql8d40h20jljxp2/ On Some Integrals Involving the Hurwitz Zeta Function: Part 1]
-** Olivier Espinosa  and Victor H. Moll
+** Olivier Espinosa  and Victor H. Moll
-* [http://www.springerlink.com/content/t285842772wv0767/ On Some Integrals Involving the Hurwitz Zeta Function: Part 2]<br>
+* [http://www.springerlink.com/content/t285842772wv0767/ On Some Integrals Involving the Hurwitz Zeta Function: Part 2]
-** Olivier Espinosa  and Victor H. Moll
+** Olivier Espinosa  and Victor H. Moll
-* [http://www.math.tulane.edu/%7Evhm/papers_html/fea-moll.pdf The Evaluation of Integrals: A Personal Story]<br>
+* [http://www.math.tulane.edu/%7Evhm/papers_html/fea-moll.pdf The Evaluation of Integrals: A Personal Story]
 ** Victor Moll, Notices Amer. Math. Soc. 49(3) (2002) 311-317
-* [http://www.jstor.org/stable/2325128 The Evolution of Integration]<br>
+* [http://www.jstor.org/stable/2325128 The Evolution of Integration]
-** A. Shenitzer and J. Steprans, The American Mathematical Monthly, Vol. 101, No. 1 (Jan., 1994), pp. 66-72
+** A. Shenitzer and J. Steprans, The American Mathematical Monthly, Vol. 101, No. 1 (Jan., 1994), pp. 66-72
-−
-−
 ==블로그==
 * 수학과 잡담을 위한 소박한 장소
-** [http://sos440.tistory.com/category/%EC%88%98%ED%95%99%20%EC%9E%A1%EB%8B%B4/%EC%98%A4%EB%8A%98%EC%9D%98%20%EA%B3%84%EC%82%B0 '오늘의 계산'] 카테고리
+** [http://sos440.tistory.com/category/%EC%88%98%ED%95%99%20%EC%9E%A1%EB%8B%B4/%EC%98%A4%EB%8A%98%EC%9D%98%20%EA%B3%84%EC%82%B0 '오늘의 계산'] 카테고리
 [[분류:적분]]

← 이전 판		2013년 2월 11일 (월) 16:13 판
149번째 줄:		149번째 줄:
	* [http://sos440.tistory.com/category/%EC%88%98%ED%95%99%20%EC%9E%A1%EB%8B%B4/%EC%98%A4%EB%8A%98%EC%9D%98%20%EA%B3%84%EC%82%B0 '오늘의 계산'] 카테고리		* [http://sos440.tistory.com/category/%EC%88%98%ED%95%99%20%EC%9E%A1%EB%8B%B4/%EC%98%A4%EB%8A%98%EC%9D%98%20%EA%B3%84%EC%82%B0 '오늘의 계산'] 카테고리
	* [http://sos440.springnote.com/ sos440의 스프링노트] , '[http://sos440.springnote.com/pages/4385915 쓸만한 낙서장]'		* [http://sos440.springnote.com/ sos440의 스프링노트] , '[http://sos440.springnote.com/pages/4385915 쓸만한 낙서장]'
		+	[[분류:적분]]