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弗拉基米爾·阿諾德

弗拉基米爾·伊戈列維奇·阿諾爾德
Vladimir Arnold in 2008
出生(1937-06-12)1937年6月12日
 苏联烏克蘭敖德薩
逝世2010年6月3日(2010歲—06—03)(72歲)
 法國巴黎
国籍 俄羅斯
母校莫斯科国立大学
知名于ADE classification英语ADE classification
Arnold's cat map英语Arnold's cat map
辛同胚
Arnold diffusion英语Arnold diffusion
Arnold's rouble problem英语Arnold's rouble problem
Arnold's spectral sequence英语Arnold's spectral sequence
Arnold tongue英语Arnold tongue
ABC flow英语Arnold–Beltrami–Childress flow
Arnold–Givental conjecture英语Arnold–Givental conjecture
冈布茨
Gudkov's conjecture
希尔伯特第十三问题
KAM定理英语Kolmogorov–Arnold–Moser theorem
Kolmogorov–Arnold theorem英语Kolmogorov–Arnold representation theorem
Liouville–Arnold theorem英语Liouville–Arnold theorem
Topological Galois theory英语Topological Galois theory
奖项邵逸夫奖 (2008)
俄罗斯联邦国家奖 (2007)
沃尔夫奖 (2001)
丹尼·海涅曼数学物理奖 (2001)
Harvey Prize (1994)
RAS Lobachevsky Prize (1992)
克拉福德奖 (1982)
列宁奖 (1965)
科学生涯
研究领域数学
机构巴黎第九大学
斯捷克洛夫数学研究所
莫斯科独立大学
莫斯科国立大学
博士導師安德雷·柯尔莫哥洛夫
博士生

弗拉基米爾·伊戈列維奇·阿諾爾德(俄语:Влади́мир И́горевич Арно́льд,1937年6月12日—2010年6月3日)是一位俄國數學家

生平

生於蘇聯敖德薩(今烏克蘭境內)。1957年他19歲時就解決了希爾伯特第十三問題,此後對多個數學領域都有重大貢獻,包括動力系統理論、突變論英语Catastrophe theory拓撲學代數幾何古典力學奇點理論英语Singularity theory。他最著名的成果是關於可積哈密頓系統穩定性KAM定理英语Kolmogorov–Arnold–Moser theorem,即柯爾莫哥洛夫 - 阿諾德 - 莫澤定理英语Kolmogorov–Arnold–Moser theorem

他的學術成就深得肯定,獲頒多個獎項,如1982年的克拉福德獎,2001年的沃爾夫數學獎,2008年的邵逸夫獎等。

数学著作

阿诺德以其将数学严谨性与物理直觉相结合的清晰的写作风格,以及轻松的对话式的教学而闻名。他的作品呈现了对于常微分方程等传统的数学问题的崭新的,常常是几何的方法,而且他的许多教科书在新的数学领域的发展中证明了其影响力。

阿诺德直言不讳地批评了上个世纪中叶数学高度抽象化的趋势。 他对法国布尔巴基学派最常用的这种方法——起初对法国的数学教育产生负面影响,后来影响了其他国家的数学教育——有着非常强烈的意见。[1]

参考文献

  1. ^ 参见[1]页面存档备份,存于互联网档案馆)与[2]页面存档备份,存于互联网档案馆)中的其他文章

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