摘要
为了具体展现傅里叶变换的产生与完善,围绕求解关于热传导问题的数学物理偏微分方程,分析了实际问题与当时数学思想和方法对傅里叶变换产生的影响。由此得出结论,傅里叶变换是因由物理等实际问题的需要并受到当时数学思想和方法的影响得以产生的,并且随着数学本身的发展最终完善。
To discuss the creation and improvement partial differential equation of mathematical physics of Fourier transformation, around looking for the solution of the on heat conduction, the impacts of practical problems, mathe- marital thoughts and methods at that time on the creation of Fourier transformation are analyzed. Due to physical problems and the influence by Mathematical thoughts and methods at that time, Fourier transformation could be pro- duced; with the development of mathematics, Fourier transformation could be improved.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第6期1001-1004,1010,共5页
Journal of Northwest University（Natural Science Edition）
基金
国家自然科学基金资助项目(11271108)
河北省教育厅高等学校科学研究项目(Z2013049)
关键词
热传导方程
傅里叶级数
傅里叶变换
勒贝格积分
heat conduction equation
Fourier series
Fourier transform
Lebesgue integral
