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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/89767
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/89767


    Title: 組合學方法探討Jocobian臆測
    A combinatorial approach to Jocobian conjecture
    Authors: 王鼎祥
    Contributors: 李陽明
    王鼎祥
    Date: 1990
    1989
    Issue Date: 2016-05-02 17:07:36 (UTC+8)
    Abstract: 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.
    Reference: [ 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 `
    Description: 碩士
    國立政治大學
    應用數學系
    Source URI: http://thesis.lib.nccu.edu.tw/record/#B2002005103
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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