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Spherical Functions of Mathematical Geosciences

A Scalar, Vectorial, and Tensorial Setup

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  • 748 páginas
  • 27 horas de lectura

Más información sobre el libro

Focusing on the theory of spherical functions, this enlarged second edition offers a comprehensive overview of mathematical applications in geo-sciences. It explores the transition from scalar to vectorial and tensorial spherical harmonics in a coordinate-free manner, utilizing key mathematical concepts. Additionally, it connects spherical harmonics to zonal functions and the Dirac kernel, emphasizing their relevance in data analysis and geo-applications. The structured presentation of spherical functions aids in modeling Earth's system phenomena, making this work significant for both research and education in (geo-)mathematics.

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Spherical Functions of Mathematical Geosciences, Willi Freeden, Michael Schreiner

Idioma
Publicado en
2023
Encuadernación
(Tapa blanda)
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Subtítulo
A Scalar, Vectorial, and Tensorial Setup
Idioma
Inglés
Publicado en
2023
Formato
Tapa blanda
Páginas
748
ISBN13
9783662656945
Serie
Descripción
Focusing on the theory of spherical functions, this enlarged second edition offers a comprehensive overview of mathematical applications in geo-sciences. It explores the transition from scalar to vectorial and tensorial spherical harmonics in a coordinate-free manner, utilizing key mathematical concepts. Additionally, it connects spherical harmonics to zonal functions and the Dirac kernel, emphasizing their relevance in data analysis and geo-applications. The structured presentation of spherical functions aids in modeling Earth's system phenomena, making this work significant for both research and education in (geo-)mathematics.