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6 标准分析的形成经过一个多世纪的努力,微积分基础严格化的进程在19世纪初获得重大进展,其代表人物是法国数学家哥西(A.L.Cauchy,1789～1851).哥西在他的《代数分析教程》(Cours d′analyse alge′brigue,1821)和《无穷小分析教程概论》(Re′sume′des lecons sur le calcul infinite′simal,1823)中,对微积分的基本概念:变量、函数、极限、连续性、导数、微分、积分及收敛等等给出了较明确的定义.哥西在他的1821年的书中写道:“依次取许多互不相同的值的量叫做变量”.“当变量之间这样联系起来的时候,即给定了这些变量中
After more than a century of hard work, the process of rigorous fundamental calculus made major strides in the early 19th century, represented by the French mathematician Gossi (ALCauchy, 1789-1851) Cours d’analyse algebrigue (1821) and Re’sume’s des lecons sur le calcul infinite’simal (1823), the basic concepts of calculus: variables, The definitions of functions, limits, continuity, derivatives, differentials, integrations, and convergence, etc., are given more clearly.Cossey wrote in his 1821 book: ”The order of many different values is called Variable “. ” When variables are so linked, given these variables