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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
- Language
- Released
- 2023
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- (Paperback)
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- Title
- Spherical Functions of Mathematical Geosciences
- Subtitle
- A Scalar, Vectorial, and Tensorial Setup
- Language
- English
- Authors
- Willi Freeden, Michael Schreiner
- Publisher
- Springer Berlin Heidelberg
- Released
- 2023
- Format
- Paperback
- Pages
- 748
- ISBN13
- 9783662656945
- Category
- Mathematics, Geology and Mineralogy
- Description
- 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.