This
book contains the collection of courses given at the session L of the Les Houches School of
Theoretical Physics. I have asked North-Holland (three times)
the original TeX files, or the permission to post the scans on the web.
I now assume that their
absence of response means indifference, and, therefore, acceptation. Note
that the scans (at 300 dpi) are sometimes better
after print than on a screen. If after reading some of the courses, you
want to purchase the book, it is still being sold (Amazon,
Barnes
& Noble, Elsevier).

- Introduction
(pdf document).

Cover Pages; List of
Lecturers; List of Participants; Preface (French); Preface (English);
Table
of Contents.

- Course 1: Probabilistic Foundation of Inverse Theory, by Albert Tarantola (pdf document, 28 pages)

Introduction to
Probability Densities and Volumetric Probabilities; the Notions of
Capacity Element and of Volume Element; Information Content; the State
of Null Information; the State of Perfect Knowledge; Combination of
Informations; the Data Space, the Model Space, and the Joint Data x
Model Space; Information Brought by Physical Theories; the Inverse
Problem as a Problem of Combination of Information; Example 1:
Theoretical Uncertainties Neglected; Example 2: All Uncertainties are
Gaussian; Robust Inversion; Bibiographycal Comments; References.

- Course 2: A Short Course
on
Theoretical
Seismology, by Paul G. Richards
(pdf document, 106 pages)

A Review of Underlying
Concepts; Some Important Solutions of the Wave Equation; Attenuation
from Intrinsic Frictin or Scattering; Seismic Waves in Media with Plane
Parallel Layering; Matrix Methods; Analytic Study of Seismic Waves in
3D Structures; References.

- Course 3: Asymptotic
Theory of
Normal
Modes and Surface Waves, by Barbara Romanowicz
(pdf document, 24 pages)

Introduction; Spherical
Earth (Notations; Correspondence with Propagating Waves); Aspherical
Earth (Introduction; Zeroth Order Asymptotic Theory; Isolated
Multiplet; Coupling terms Included; Higher Order Asymptotics);
Appendix; References.

- Course 4: Ocean Acoustic
Tomography,
by Yves Desaubies
(pdf document, 44 pages)

Introduction; Sound
Propagation in the Ocean; Some Elements of Ocean Dynamics; the First
Ocean Acoustic Tomography Experiments; Error Analysis; Conclusions;
References.

- Course 5: Using Data with
Models:
Ill-Posed and Time-Dependent Ill-Posed Problems, by Carl Wunsch (pdf
document, 46 pages)

Introduction;
Conventional Models; a Model Example; Unorthodox Observations; Simple
Computations; Recursive Least-Squares; the Control Formalism;
Controllability and Observability; Final Comments; Appendix; References.

- Course 6: Seismic
Numerical
Modeling, by Dan Kosloff and David
Kessler (pdf document, 64 pages)

One-dimensional
Acoustic Wave Propagation; Two-Dimensional and Three-Dimensional
Acoustic Forward Modeling by the Fourier Method; Two and
Three-Dimensional Elastic Forward Modeling by the Fourier Method;
Improvement on the Time Integration; Forward Modeling from an Operator
View; References.

- Course 7: Ocean
Seismo-Acoustic Modeling: Numerical Methods, by Finn Jensen (pdf document, 32 pages)

Introduction; the Ocean
Waveguide; Classifications of Wave-Theory Models; Time-Harmonic Solutions of Separable Problems; Time-Harmonic Solutions of Non-Separable Problems; Pulse
Solutions by Fourier Series; Numerical Results; Summary and
Conclusions; References.

- Course 8: A Unifying View
of
Inversion, by Peter Mora (pdf document, 30 pages)

Theory of Nonlinear
Inversion; Unification with Partial Inversion Theories; Computational
Physics of the Forward Problem; References.

- Course 9: Inversion of
Low-Frequency Electromagnetic Data, by Theodore Madden
(pdf document), 34 pages

Introduction:
Magnetotellurics, the Need for Interpretation Methods; Magnetotelluric
Equations: Maxwell's Equations in Conducting Media; the
Maximum-Likelihood Inverse; Sensitivity Operators; the
Bilinear-Identity: Adjoint Operators and Reciprocity; Relaxing the
Inverse Problem; Reference.

- Course 10: Inverse Methods
in
Ocean Bottom Acoustics, by George Frisk
(pdf document, 30 pages)

Introduction; Specific
Feature Methods; Iteration of Forward Models Methods; Perturbative
Inversion Methods; Exact Inverse Methods; Conclusions; References.

- Course 11: Some Practical
Aspects of Ocean Acoustic Tomography, by Bruce Cornuelle
(pdf document, 24 pages)

Introduction;
Resolution in a Vertical Slice (Introduction; Loop Harmonics;
Inverses); Moving Ship Tomography (Introduction;
the Projection-Slice Theorem; Examples); Time
Dependence (Introduction; General
Problem; the Kalman Filter; Examples); References.