The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation

碩士 === 國立清華大學 === 數學系 === 103 === In this paper, we study the theory of Riemann Surface of genus N and the numerical Computation of path integrals on those Riemann Surfaces. We then study the classical theory of the Elliptic functions. Finally, we apply both theory to solve some special solution of...

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Main Author:	黃世安
Other Authors:	李榮耀
Format:	Others
Language:	en_US
Published:	2014
Online Access:	http://ndltd.ncl.edu.tw/handle/33191811980928228920

id	ndltd-TW-103NTHU5479004
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spelling	ndltd-TW-103NTHU54790042017-02-25T04:18:29Z http://ndltd.ncl.edu.tw/handle/33191811980928228920 The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation 黎曼空間與橢圓函數的理論及應用於正弦戈登方程式黃世安碩士國立清華大學數學系 103 In this paper, we study the theory of Riemann Surface of genus N and the numerical Computation of path integrals on those Riemann Surfaces. We then study the classical theory of the Elliptic functions. Finally, we apply both theory to solve some special solution of the sine-Gordon Equation. 李榮耀 2014 學位論文 ; thesis 77 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立清華大學 === 數學系 === 103 === In this paper, we study the theory of Riemann Surface of genus N and the numerical Computation of path integrals on those Riemann Surfaces. We then study the classical theory of the Elliptic functions. Finally, we apply both theory to solve some special solution of the sine-Gordon Equation.
author2	李榮耀
author_facet	李榮耀黃世安
author	黃世安
spellingShingle	黃世安 The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation
author_sort	黃世安
title	The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation
title_short	The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation
title_full	The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation
title_fullStr	The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation
title_full_unstemmed	The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation
title_sort	theory of riemann surface and elliptic functions with application to the sine-gordon equation
publishDate	2014
url	http://ndltd.ncl.edu.tw/handle/33191811980928228920
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The Theory of Riemann Surface and Elliptic Functions with Application to the sine-Gordon Equation

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