| 数学分析的某些发展和新探索 |
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| 引用本文： | 张一方. 数学分析的某些发展和新探索[J]. 吉首大学学报(自然科学版), 2009, 30(3): 35-39 |
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| 作者姓名： | 张一方 |
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| 作者单位： | 云南大学物理系,云南,昆明,650091 |
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| 基金项目： | 国家自然科学基金(理科基地人才培养基金)资助项目 |
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| 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.
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| 关 键 词： | 数学分析 对称性 微积分 分形 复数维 |
Some Developments and New Researches in Mathematical Analysis |
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| ZHANG Yi-Fang. Some Developments and New Researches in Mathematical Analysis[J]. Journal of Jishou University(Natural Science Edition), 2009, 30(3): 35-39 |
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| Authors: | ZHANG Yi-Fang |
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| Affiliation: | (Department of Physics,Yunnan University,Kunming 650091,China) |
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| 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. |
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| Keywords: | mathematical analysis symmetry calculus fractal complex-dimension |
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