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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 2-May-2016 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 dc.contributor.advisor 李陽明 zh_TW dc.contributor.author (Authors) 王鼎祥 zh_TW dc.creator (作者) 王鼎祥 zh_TW dc.date (日期) 1990 en_US dc.date (日期) 1989 en_US dc.date.accessioned 2-May-2016 17:07:36 (UTC+8) - dc.date.available 2-May-2016 17:07:36 (UTC+8) - dc.date.issued (上傳時間) 2-May-2016 17:07:36 (UTC+8) - dc.identifier (Other Identifiers) B2002005103 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89767 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 應用數學系 zh_TW dc.description.abstract (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. zh_TW dc.description.tableofcontents 0 Introduction...............1 1 Calculus...............3 2 Lagrange`s inversion in one variable...............8 3 Advanced calculus ...............18 4 Lagrange Theorem ...............20 5 Jacobian conjecture in two variables...............39 6 Reference ...............48 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002005103 en_US dc.title (題名) 組合學方法探討Jocobian臆測 zh_TW dc.title (題名) A combinatorial approach to Jocobian conjecture en_US dc.type (資料類型) thesis en_US dc.relation.reference (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 ` zh_TW
