000			02592nam a22003135i 4500
001			91806
005			20240313151117.0
010			_a978-3-030-74353-6 _dcompra
090			_a91806
100			_a20231023d2022 k||y0pory50 ba
101	0		_aeng
102			_aCH _bCham
200	1		_aAnalysis of the gravity field _bDocumento eletrónico _edirect and inverse problems _fFernando Sansò, Daniele Sampietro
210			_aCham _cSpringer International Publishing _cBirkhäuser _d2022
215			_aXIV, 541 p. _cil.
225	2		_aLecture Notes in Geosystems Mathematics and Computing
303			_aThis textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of Earth's gravity field. By restricting their consideration to a local rather than global level, the authors focus on the use of observations and data that are more sensitive to local mass anomalies. All necessary theoretical aspects are reformulated in terms of a Euclidean framework so that less complex tools from mathematical analysis can be utilized. Divided into three parts, the text begins with a review of basic mathematical properties of gravitation, computing gravity from mass distributions, and relevant methods from Fourier analysis. In the second part of the text, the Earth's gravity field and its properties are introduced, and the preprocessing and processing of gravity data are explored. Finally, elementary inverse theory is discussed, after which the general inversion problem is considered via application of both the Tikhonov deterministic approach and a stochastic MCMC model. Throughout, examples and exercises are provided to both clarify material and to illustrate real-word applications for readers. Analysis of the Gravity Field: Direct and Inverse Problems is carefully written to be accessible to both mathematicians and geophysicists without sacrificing mathematical rigor. Readers should have a familiarity with the basics of mathematical analysis, as well as some knowledge of statistics and probability theory. Detailed proofs of more advanced results are relegated to appendices so that readers can concentrate on solution algorithms. .
606			_aMathematics _xData processing
606			_aGeophysics
606			_aStochastic processes
606			_aFourier analysis
680			_aQA71-90
700			_973212 _aSansò _bFernando
701			_973213 _aSampietro _bDaniele _4070
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-74353-6
942			_2lcc _cF _n0