书目名称 | Special Functions of Mathematical (Geo-)Physics | 编辑 | Willi Freeden,Martin Gutting | 视频video | | 概述 | Presents special functions as essential tools contributing to solutions for geoscientific problems.Attractive textbook for the education in geomathematics.Addresses mathematicians, physicists, geo-eng | 丛书名称 | Applied and Numerical Harmonic Analysis | 图书封面 |  | 描述 | Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the causality between the abstractness of the mathematical concept and both the impact on and cross-sectional importance to the scientific reality.The special functions to be discussed in this monograph vary greatly, depending on the measurement parameters examined (gravitation, electric and magnetic fields, deformation, climate observables, fluid flow, etc.) and on the respective field characteristic (potential field, diffusion field, wave field). The differential equation under consideration determines the type of special functions that are needed in the desired reduction process.Each chapter closes with exercises that reflect significant topics, mostly in computational applications. As a result, readers are not only directly confronted with the specific contents of each chapter, but also with additional knowledge on mathematical fields of research, where special functions are essential to ap | 出版日期 | Book 2013 | 关键词 | Cauchy–Navier and Navier-Stokes equation; Laplace and Poisson equation; Maxwell equation; constructive | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-0563-6 | isbn_softcover | 978-3-0348-0774-6 | isbn_ebook | 978-3-0348-0563-6Series ISSN 2296-5009 Series E-ISSN 2296-5017 | issn_series | 2296-5009 | copyright | Springer Basel 2013 |
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