从《热的解析理论》中看傅里叶分析的产生  

On Production of Joseph Fourier's Analyses from his Analytical Theory of Heat

作　　者：滕远江[1] 

机构地区：[1]湖南工程学院理学院,湖南湘潭411104

出　　处：《衡阳师范学院学报》2010年第3期22-24,共3页Journal of Hengyang Normal University

摘　　要：《热的解析理论》是傅里叶的元典著作,它记载着傅里叶级数和傅里叶积分的诞生过程。该文分析了傅里叶分析理论产生的动力等问题。表达了一个基本观点:任意函数的幂级数展开、三角函数的幂级数展开,以及谐波函数的魅力是傅里叶级数理论产生的动力所在。最后分析了傅里叶级数的历史意义与价值。Analytical Theory of Heat is Joseph Fourier＇s classical canon, it recorded the naissance process of Fourier series and integrals. The paper analyzed the motivity of Fourier＇s analytical theory and other issues and expressed a basic point of view.. any function of power series expansion, trigonometric function of power series expansion and the charm of harmonic function are the motivity of the production of Fourier＇s analytical theory, And the paper finally analyzed the historical meaning and value of Fourier＇s analytical theory.

关 键 词：热的解析理论 幂展式 谐波信号 谐波展式 傅里叶级数 傅里叶积分 

分 类 号：O174.22[理学—数学]