The book is written based on the course of lectures given to the Lomonosov Moscow State University Physical Department students. Inverse problems of geophysics are considered as the main applications.
The mathematical apparatus described in the first chapter has been successfully applied to the solution of inverse problems of astrophysics, image processing, vibration spectroscopy, electron microscopy, acoustics, and many others.
The book will be useful to students, graduate students, researchers, interested in modern methods of solving inverse problems, including incorrect formulated ones.