关于多元奇偶函数积分算法的研究摘要积分算法,是大学数学中比较重要的内容,在人们的学习中也占有很大的比重,对积分算法的深入了解与研究是一件尤为重要的事。而奇偶函数是初高中学生比较关心的问题,他们往往将这两种函数比较着来记忆,使它们各自的特点更加突出,多元奇偶函数无疑有上升了一个难度,对学生的计算与理解又增加了一个新的挑战。对多元奇偶函数的积分算法,无疑是把这两者联系起来,这就要求我们能够对这两种算法做到足够的熟悉,能够灵活的应用。本文主要针对我们对于这两种算法的充分应用,使它们能够很好地结合起来,使多元奇偶函数积分算法能够得到更好的解决办法。本文主要通过阐述几个重要的结论并且用例题说明它们的应用,从而使多元奇偶函数积分算法变得简单。关键词:多元函数积分;函数奇偶性;积分算法AbstractTheintegralalgorithmisanimportantpartofuniversitymathematics,anditoccupiesagreatproportioninpeople'slearning.Itisveryimportantfortheintegralalgorithmtounderstandandstudy.Andoddfunctionismoreconcernedabouttheproblembyhighschoolstudents,andtheyalwaystendtocomparethesetwofunctionsandmemory,andmakingtheirrespectivecharacteristicsmoreprominent.Themultivariateparityfunctionhasundoubtedlyincreasedadifficulty,anditwillincreasedanewchallengeforcalculationandunderstandingofstudents.Theintegralalgorithmforthemultivariateparityfunctionisundoubtedlylinkbetweenthistwoside,whichrequiresustobeabletomakethesetwoalgorithmsfullyfamiliarandflexibleapplication.Thispaperfocusesonthefullapplicationofthesetwoalgorithms,makingthemcanbewellcombined,andthemulti-parityfunctionintegrationalgorithmcangetabettersolution.Thispapermainlythroughtheelaborationofseveralimportantconclusionsandusingexamplestoillustratetheirapplication,afterthatmakingthemulti-parityfunctionintegrationalgorithmbecomessimple.Keywords:Multivariatefunction;Parity;Integralalgorithm目录TOC\o"1-3"\h\z\u摘要2Abstract31前言52关于区域积分对称性、奇偶性的讨论62.1积分区域对称性62.2函数奇偶性62.2.1一元函数奇偶性62.2.2多元函数奇偶性72.3积分函数区域对称性与函数奇偶性82.3.1定积分82.3.2二重积分92.3.3三重积分113多元奇偶函数积分143.1多元奇偶函数定义143.2多元...