An Introduction to the Mathematical Theory of Inverse Problems
This graduate-level textbook introduces the reader to the area of inverse problems, vital to many fields including geophysical exploration, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with ill-posed proble...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2021, 2021
|
| Edition: | 3rd ed. 2021 |
| Series: | Applied Mathematical Sciences
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Introduction and Basic Concepts
- Regularization Theory for Equations of the First Kind
- Regularization by Discretization
- Nonlinear Inverse Problems
- Inverse Eigenvalue Problems
- An Inverse Problem in Electrical Impedance Tomography
- An Inverse Scattering Problem
- Basic Facts from Functional Analysis
- References
- Index