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A Taste of Inverse Problems: Basic Theory and Examples

by Martin Hanke


2017 / viii + 162 pages / Softcover / ISBN 978-1-611974-93-5 / List Price $59.00 / Member Price $41.30 / Order Code: OT153

Keywords: ill-posed problems, regularization methods, iterative methods, discrepancy principle, inverse source problems


Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data.

This book presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this material has previously appeared only in journal articles.

A Taste of Inverse Problems: Basic Theory and Examples

  • rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations;
  • presents diverse real-world applications, important test cases, and possible pitfalls; and
  • treats these applications with the same rigor and depth as the theory.

The book is intended for graduate students and researchers, and it is suitable for engineers who are faced with solving specific inverse problems. The prerequisites for this book are undergraduate-level mathematics and a basic knowledge of elementary Hilbert space theory.

About the Author
Martin Hanke is a Professor of Mathematics at the Johannes Gutenberg-University in Mainz, Germany. He works in numerical analysis and his research focuses on inverse and ill-posed problems, the development of general regularization methods, and the analysis of sophisticated algorithms for specific inverse problems.


ISBN 9781611974935

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