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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.
Zakup książki
Spherical Functions of Mathematical Geosciences, Willi Freeden, Michael Schreiner
- Język
- Rok wydania
- 2023
- Oprawa
- (miękka)
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- Tytuł
- Spherical Functions of Mathematical Geosciences
- Podtytuł
- A Scalar, Vectorial, and Tensorial Setup
- Język
- angielski
- Autorzy
- Willi Freeden, Michael Schreiner
- Wydawca
- Springer Berlin Heidelberg
- Rok wydania
- 2023
- Oprawa
- miękka
- Liczba stron
- 748
- ISBN13
- 9783662656945
- Seria
- Kategorie
- Tagi
- Opis
- 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.