数学分析的某些发展和新探索  

Some Developments and New Researches in Mathematical Analysis

作　　者：张一方[1] 

机构地区：[1]云南大学物理系,云南昆明650091

出　　处：《吉首大学学报（自然科学版）》2009年第3期35-39,共5页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金(理科基地人才培养基金)资助项目(K1020195)

摘　　要：先讨论了数学分析中n个变量的对称性,微积分的对称性及其统一,再将微积分推广到n维空间,微积分的阶数推广到分数、复数及各种数系,由此得到了某些新的结果.这又可以结合分形及复数维,最后探讨了这些新探索的意义.First, the symmetry of n-variables in mathematical analysis, and the symmetry and unification between differential and integral are discussed. Then the rank n of calculus is extended to fraction and various number-systems. From this some new results are obtained. It may combine the fraetal and complexdimension. Moreover,the significance of these new researches is also searched.

关 键 词：数学分析 对称性 微积分 分形 复数维 

分 类 号：O172.1[理学—数学]