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題名:	組合學方法探討Jocobian臆測 A combinatorial approach to Jocobian conjecture
作者:	王鼎祥
貢獻者:	李陽明王鼎祥
日期:	1990 1989
上傳時間:	2016-05-02 17:07:36 (UTC+8)
摘要:	Jacobian 臆測問題存在已久，然以分析、代數的方法均無法將其解決.在此本文用組合數學的觀點來加以探討，希望能走出一新的天地.
參考文獻:	[ 1 ] H , Appelgate and H , Onishi , The Jacobian Conjecture in Two Variables) Journal of Pure and Applied Algebra 37 ( 1985 ) ,215 -227. [ 2 ] H , Bass, E , H , Connell and D . Wright, The Jacobian Conjecture: reduction of degree and formal expansion of the inverse) Bulletin of The A.M.S. Z ( 1982 ) ) 287 - 330 . [ 3 ] A . M . Garsia and S . A . Joni , A New Expression for Umbral Operators and Power Series Inversion, A.M.S , 64 . No, 1 ,1977 ,179-185, [ 4 ] S . A . Joni , Lagrange Inversion in Higher Dimensions and Umbral Operators , Linear and Multilinear Algebra 6 ( 1978 ) , 111 -121 . [ 5 ] A . Nowicki, On the Jacobian Conjecture in Two Variables) Journal of Pure and Applied Algebra 50 ( 1988 ) 7 195 - 207 . [ 6 ] S . S . Wang) A Jacobian Criterion for separability, J . Algebra 65 ( 1980 ) , 453 - 494 [ 7] D . Zeilberger ,Toward a Combinatorial Proof of the Jacobian Conjecture? , Springer - Verlag , Lecture Notes in Mathematics ,( 1985 ) , 370 - 380 `
描述:	碩士國立政治大學應用數學系
資料來源:	http://thesis.lib.nccu.edu.tw/record/#B2002005103
資料類型:	thesis
顯示於類別:	[應用數學系] 學位論文

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