User:DVD206/Printed Version/About the book


 * Dedicated to Nicole DeLaittre

Preface

The inverse problems studied in this book take its roots in medical imaging such as electrical impedance tomography (EIT) and similar methods from geophysics with applications to the oil & gas production industry. The study was motivated by needs of non-destructive and non-intrusive methods for study of hidden objects such as internal human organs or Earth's natural resources.

The inverse problems in this book are formulated as the mathematical problems of recovering the coefficients of functional and differential systems of equations from data about their solutions. These problems are opposite in some sense to the forward problems of evaluating functions. The inverse problems are well suited for computer simulations and many classical and current mathematical problems can be restated with ease as discrete or continuous inverse problems.

The solutions of the inverse problems considered in this book allow one to "see inside" an object using its physical response data observed at the object's boundary or outside of it.



Copyright © 2013 by David V. Ingerman All rights reserved.

The author would like to thank Wiki, StackExchange and Sage projects for the help in writing the book @ all stages of the process.