傅立葉級數和球麵調和函數的幾何應用 pdf epub mobi txt 電子書下載 2024

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2000-6

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58.00元

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9787506247016

圖書標籤: 幾何球麵調和數學分析傅裏葉

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发表于2024-12-27

傅立葉級數和球麵調和函數的幾何應用 epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

傅立葉級數和球麵調和函數的幾何應用 pdf epub mobi txt 電子書下載 2024

圖書描述

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.

　　本書為英文版。

傅立葉級數和球麵調和函數的幾何應用下載 mobi epub pdf txt 電子書