Spherical Functions of Mathematical Geosciences 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Schreiner, Michael 作者

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出版日期

618 页数

$ 270.07 价格

丛书系列

9783540851110 图书编码

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发表于2024-11-28

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Spherical Functions of Mathematical Geosciences 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Spherical Functions of Mathematical Geosciences 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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This book collects all material developed by the Geomathematics Group, TU Kaiserslautern, during the few last years to set up a theory of spherical functions of mathematical (geo-)physics. The work shows a twofold transition: First, the natural transition from the scalar to the vectorial and tensorial theory of spherical harmonics is given in coordinate-free representation, based on new variants of the addition theorem and the Funk-Hecke formulas. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is presented in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of constructive approximation and data analysis. In doing so, the whole palette of spherical (trial) functions is provided for modeling and simulating phenomena and processes of the Earth system.

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