| 书目名称 | Spherical Functions of Mathematical Geosciences | | 副标题 | A Scalar, Vectorial, | | 编辑 | Willi Freeden,Michael Schreiner | | 视频video | | | 概述 | A work of timeless significance in (geo-)mathematical research and teaching.A consistent and unified overviewon the theory of spherical functions of mathematical (geo-)sciences.An‘enlarged 2nd edition | | 丛书名称 | Geosystems Mathematics | | 图书封面 |  | | 描述 | .This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth‘s system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.. | | 出版日期 | Book 2022Latest edition | | 关键词 | Approximation; applied mathematics; geosciences; mathematical physics; special functions | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-662-65692-1 | | isbn_softcover | 978-3-662-65694-5 | | isbn_ebook | 978-3-662-65692-1Series ISSN 2510-1544 Series E-ISSN 2510-1552 | | issn_series | 2510-1544 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE |
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发表于 2025-3-21 18:45:51
