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000771240 019__ $$a967368070$$a967559666$$a967708467
000771240 020__ $$a9783319483849$$q(electronic book)
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000771240 0247_ $$a10.1007/978-3-319-48384-9$$2doi
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000771240 1001_ $$aRichter, Mathias,$$eauthor.
000771240 24510 $$aInverse problems :$$bbasics, theory and applications in geophysics /$$cMathias Richter.
000771240 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2016.
000771240 300__ $$a1 online resource (xii, 240 pages) :$$billustrations.
000771240 336__ $$atext$$btxt$$2rdacontent
000771240 337__ $$acomputer$$bc$$2rdamedia
000771240 338__ $$aonline resource$$bcr$$2rdacarrier
000771240 347__ $$atext file$$bPDF$$2rda
000771240 4901_ $$aLecture notes in geosystems mathematics and computing
000771240 504__ $$aIncludes bibliographical references and index.
000771240 5050_ $$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.
000771240 506__ $$aAccess limited to authorized users.
000771240 520__ $$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.
000771240 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 19, 2016).
000771240 650_0 $$aInverse problems (Differential equations)
000771240 650_0 $$aGeophysics$$xMathematics.
000771240 77608 $$iPrint version:$$z9783319483832
000771240 830_0 $$aLecture notes in geosystems mathematics and computing.
000771240 852__ $$bebk
000771240 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-48384-9$$zOnline Access$$91397441.1
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