傅立叶级数和球面调和函数的几何应用在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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H.Groemer 作者

世界图书出版公司

译者

2000-6 出版日期

329 页数

58.00元价格

简裝本

丛书系列

9787506247016 图书编码

傅立叶级数和球面调和函数的几何应用在线电子书图书标签: 几何球面调和数学分析傅里叶

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傅立叶级数和球面调和函数的几何应用在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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In 1901 Adolf Hurwitz published a short note showing that Fourier series can be used to prove the isoperimetric inequality for domains in the Euclidean plane,and in a subsequent article he showed how spherical harmonics can be utilized to prove an analogous inequality for three-dimensional convex bodies. A few years later Hermann Minkowski used spherical harmonics to prove an interesting characterization of (three-dimensional) convex bodies of constant width. The work of Hurwitz and Minkowski has convincingly shown that a study of this interplay of analysis and geometry, in particular of Fourier series and spherical harmonics on the one hand, and the theory of convex bodies on the other hand, can lead to interesting geometric results. Since then many articles have appeared that explored the possibilities of such methods.

　　本书为英文版。

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