000			02874nam a22003135i 4500
001			91958
005			20231123104624.0
010			_a978-3-030-59317-9 _dcompra
090			_a91958
100			_a20231023d2020 k||y0pory50 ba
101			_aeng
102			_aCH
200			_aInverse problems _bDocumento eletrónico _ebasics, theory and applications in geophysics _fby Mathias Richter
205			_a2nd ed.
210			_aCham _cSpringer International Publishing _cBirkhäuser _d2020
215			_aXIV, 273 p. _cil.
225			_aLecture Notes in Geosystems Mathematics and Computing
303			_aThis textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics. The treatment is mathematically rigorous, relying on calculus and linear algebra only; familiarity with more advanced mathematical theories like functional analysis is not required. Containing up-to-date methods, this book will provide readers with the tools necessary to compute regularized solutions of inverse problems. A variety of practical examples from geophysics are used to motivate the presentation of abstract mathematical ideas, thus assuring an accessible approach. Beginning with four examples of inverse problems, the opening chapter establishes core concepts, such as formalizing these problems as equations in vector spaces and addressing the key issue of ill-posedness. Chapter Two then moves on to the discretization of inverse problems, which is a prerequisite for solving them on computers. Readers will be well-prepared for the final chapters that present regularized solutions of inverse problems in finite-dimensional spaces, with Chapter Three covering linear problems and Chapter Four studying nonlinear problems. Model problems reflecting scenarios of practical interest in the geosciences, such as inverse gravimetry and full waveform inversion, are fully worked out throughout the book. They are used as test cases to illustrate all single steps of solving inverse problems, up to numerical computations. Five appendices include the mathematical foundations needed to fully understand the material. This second edition expands upon the first, particularly regarding its up-to-date treatment of nonlinear problems. Following the author's approach, readers will understand the relevant theory and methodology needed to pursue more complex applications. Inverse Problems is ideal for graduate students and researchers interested in geophysics and geosciences.
606			_aNumerical analysis
606			_aMathematical physics
606			_aMathematical models
606			_aEarth sciences
680			_aQA297-299.4
700			_aRichter _bMathias _942243
801			_aPT _gRPC
856			_uhttps://doi.org/10.1007/978-3-030-59317-9
942			_2lcc _cF _n0