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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aInverse Problems  $eBasics, Theory and Applications in Geophysics  /$fby Mathias Richter
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016.
215   $a1 online resource (XII, 240 p. 52 illus., 32 illus. in color.) 
225 1 $aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996
311   $a3-319-48383-8 
327   $a1.Characterization of Inverse Problems -- 2.Discretization of Inverse Problems -- 3.Regularization of Linear Inverse Problems -- 4.Regularization of Nonlinear Inverse Problems -- Appendix: A.Results from Linear Algebra -- B.Function Spaces -- C.The Fourier Transform -- D.Proofs of Theorems from Chapter 3.
330   $aThe overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B. A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.
410  0$aLecture Notes in Geosystems Mathematics and Computing,$x2730-5996
606   $aNumerical analysis
606   $aPhysics
606   $aGeophysics
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021
606   $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009
615  0$aNumerical analysis.
615  0$aPhysics.
615  0$aGeophysics.
615 14$aNumerical Analysis.
615 24$aNumerical and Computational Physics, Simulation.
615 24$aGeophysics/Geodesy.
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700   $aRichter$b Mathias$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755956
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906   $aBOOK
912   $a9910254070703321
996   $aInverse problems$91523415
997   $aUNINA