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https://ah.lib.nccu.edu.tw/handle/140.119/89767| 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 | 上傳時間: | 2-May-2016 | 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.\r\n[ 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 .\r\n[ 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,\r\n[ 4 ] S . A . Joni , Lagrange Inversion in Higher Dimensions and Umbral Operators , Linear and Multilinear Algebra 6 ( 1978 ) , 111 -121 .\r\n[ 5 ] A . Nowicki, On the Jacobian Conjecture in Two Variables) Journal of Pure and Applied Algebra 50 ( 1988 ) 7 195 - 207 .\r\n[ 6 ] S . S . Wang) A Jacobian Criterion for separability, J . Algebra 65 ( 1980 ) , 453 - 494\r\n[ 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 |
| Appears in Collections: | 學位論文 |
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