Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I

碩士 === 國立交通大學 === 應用數學系 === 89 === The integrals over a,b cycles on Riemann surface can solve some problems in differential Equations. We use algebraic and geometric method to construct three-sheeted Riemann surfaces of genus N such that a multi-valued function is single-valued and analyt...

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Main Authors:	Su-Chuan Yao, 姚素娟
Other Authors:	Jong-Eao Lee
Format:	Others
Language:	en_US
Published:	2001
Online Access:	http://ndltd.ncl.edu.tw/handle/65807328629749867603

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spelling	ndltd-TW-089NCTU05070032016-01-29T04:28:15Z http://ndltd.ncl.edu.tw/handle/65807328629749867603 Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I 黎曼空間之積分運算 Su-Chuan Yao 姚素娟碩士國立交通大學應用數學系 89 The integrals over a,b cycles on Riemann surface can solve some problems in differential Equations. We use algebraic and geometric method to construct three-sheeted Riemann surfaces of genus N such that a multi-valued function is single-valued and analytic on the Riemann surface. Then, by Cauchy integral theorem, we can find equivalent paths of a,b cycles such that the two integrals are equal. The equivalent path-integrals along cuts can be computed by "Mathematica" simply and correctly. Jong-Eao Lee 李榮耀 2001 學位論文 ; thesis 0 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立交通大學 === 應用數學系 === 89 === The integrals over a,b cycles on Riemann surface can solve some problems in differential Equations. We use algebraic and geometric method to construct three-sheeted Riemann surfaces of genus N such that a multi-valued function is single-valued and analytic on the Riemann surface. Then, by Cauchy integral theorem, we can find equivalent paths of a,b cycles such that the two integrals are equal. The equivalent path-integrals along cuts can be computed by "Mathematica" simply and correctly.
author2	Jong-Eao Lee
author_facet	Jong-Eao Lee Su-Chuan Yao 姚素娟
author	Su-Chuan Yao 姚素娟
spellingShingle	Su-Chuan Yao 姚素娟 Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I
author_sort	Su-Chuan Yao
title	Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I
title_short	Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I
title_full	Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I
title_fullStr	Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I
title_full_unstemmed	Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I
title_sort	integral evaluation on three-sheeted riemann surface of genus n of type i
publishDate	2001
url	http://ndltd.ncl.edu.tw/handle/65807328629749867603
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Integral Evaluation on Three-sheeted Riemann Surface of Genus N of Type I

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