Albert Tarantola Kolejność książek (chronologicznie)

The use of actual observations to infer the properties of a model is an inverse problem, which are often difficult as they may not have a unique solution. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be applied to actual real-world problems, including many heuristic arguments. Prompted by recent developments in inverse theory, this text is a completely rewritten version of a 1987 book by the same author, and includes many algorithmic details for Monte Carlo methods, least-squares discrete problems, and least-squares problems involving functions. In addition, some notions are clarified, the role of optimization techniques is underplayed, and Monte Carlo methods are taken much more seriously.

In geophysics, tomography is a technique which deduces some physical properties of the medium from the perturbations encountered by waves propagating through it. Thus tomography draws on a variety of disciplines, such as wave propagation in heterogeneous media, statistical estimation and inverse theory, and numerical modeling. These subjects take different forms when applied to solid Earth geophysics or to physical oceanography.The aim of the 50th session of the Les Houches Summer School was to present in detail theoretical and practical aspects of tomography in geophysics and oceanography. One of the goals was to bring together students and practitioners of the two fields to teach, discuss and exchange ideas on all the components of tomography, to point out common approaches and to contrast various specific applications. The resulting book shows the diversity and vitality of this field of research and underlines the variety of disciplines involved.