数学大地测量手册：功能分析和 potential理论 方法

English | PDF | 2018 | 938 Pages | ISBN : 3319571796 | 37.08 MB

Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.

由顶尖专家撰写的这本书提供了一个关于“现状”的清晰而全面的数学大地测量学结构和方法相互关系及其交叉融合领域的概述。从泛函分析、位势理论、构造逼近、特殊函数论以及逆问题的基础出发，读者随后被介绍到今天的最小二乘逼近、球谐分析、样条及小波的概念、边界值问题、Runge-Walsh框架、大地测量观测量、大地水准面模型、不适定问题与正则化方法、重力反演和卫星重力梯度测量。所有章节都是自包含的，可以单独学习，使这本书成为研究生和希望熟悉现代大地测量学数学方面的研究人员的理想资源。

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