journal6 ›› 2009, Vol. 30 ›› Issue (3): 35-39.

• 数学 • 上一篇    下一篇

数学分析的某些发展和新探索

  

  1. (云南大学物理系,云南 昆明 650091)
  • 出版日期:2009-05-25 发布日期:2012-04-23
  • 作者简介:张一方(1947-),男,云南昆明人,云南大学物理系教授,主要从事基础课教学和理论物理研究.
  • 基金资助:

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

Some Developments and New Researches in Mathematical Analysis

  1. (Department of Physics,Yunnan University,Kunming 650091,China)
  • Online:2009-05-25 Published:2012-04-23

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.

关键词: 数学分析, 对称性, 微积分, 分形, 复数维

Abstract: 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 fractal and complex-dimension.Moreover,the significance of these new researches is also searched.

Key words: mathematical analysis, symmetry, calculus, fractal, complex-dimension

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