文档介绍：傅里叶级数及其应用专业:数学与应用数学班级::目录引言 31傅立叶级数的计算 192傅里叶级数的相关定理及其应用 283微分中值定理在复数域上的推广 36结论 39致谢 40参考文献 41摘要为了更好地认识和应用微分中值定理,使微分中值定理能够最大的发挥其重要作用,在深刻理解和掌握教材内微分中值定理的基础上,,给出了罗尔定理、拉格朗日定理、柯西中值定理、,给出了二元函数罗尔定理、柯西中值定理和二元函数泰勒中值定理的表述,并且构造“辅助函数”给出了证明过程,,给出了元函数罗尔定理、拉格朗日定理、柯西中值定理和泰勒中值定理的表述形式,而后同样借助构造的“辅助函数”把元函数转化为一元函数,进而给出了四个定理的证明,,给出了复数域上的罗尔定理、拉格朗日定理、柯西中值定理的表述形式,:元函数;微分中值定理;几何意义;复数域AbstractInordertounderstandandmakebetteruseofthedifferentialmeanvaluetheoremwhichcanplayalargestroleinapplication,weexplorethegeneralizationandtheapplicationofthedifferentialmeanvaluetheoreminn-,accordingtothedifferentialmeanvaluetheoremofone-variablefunction,wegivetheuniformofRolletheorem,Lagrangetheorem,Cauchymeanvaluetheorem,-variablefunctionintextbookfollowingone-variablefunction,givetheexpressionsofRolletheorem,Cauchymeanvaluetheorem,Taylormeanvaluetheoremoftwo-variablefunction,constituteauxiliaryfunctionandgivetheproofprocedure,discussthegeometricsignificanceoftheRolletheoremandLagrangetheoremoftwo-,wegivetheexpressionsoftheRolletheorem,Lagrangetheorem,Cauchymeanvaluetheorem,Taylormeanvaluetheoremofn-paringthedifferentialmeanvaluetheoremofone-variablefunctionandtwo-,byconstitutingauxiliaryfunction,wechangen-variablefunctionintoone-,proceedfromthedifferentialmeanvaluetheoremoftwo-variablefunction,wegivetheexpressionsofRollethe