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Discrete Inverse Problems is written by Per Christian Hansen and published by SIAM. It's available with International Standard Book Number or ISBN identification 089871883X (ISBN 10) and 9780898718836 (ISBN 13).
This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.