Mathematical Foundations of Imaging, Tomography and Wavefield Inversion
"I believe Tony Devaney has produced a masterpiece - a text that will be a standard and a "classic". He has struck a perfect balance between the mathematical structures and the physical reality of the wave setting.Devaney's writing is very clear and the reader can hear that his knowledge is not just mathematical or formal, but based on actual experience with systems and signals. This work will stand the test of time in my view and serves the nation."Richard Albanese, Director of the Mathematics Products Division, Brooks Air Force, San Antonio"Professor Devaney's new book is a welcome contribution to the field of imaging and inverse scattering. Written by one of the leading practitioners in the field, it is unique in that it presents the basic underlying theory of linearized inverse scattering in a clear and comprehensive manner while only requiring a prerequisite of analytic function theory and linear algebra. In particular, this book is not only an excellent introductory textbook for graduate students in mathematics, physics or engineering but can also serve as a valuable reference source for experts in the field. I highly recommend Professor Devaney's new book to beginners and experts alike!"David Colton Unidel Professor, University of Delaware"Finally we have a book that collects together and explains the mathematical foundations of imaging based on wave propagation! This book will be indispensable for students and researchers who encounter inverse scattering problems and inverse source problems in medical imaging, nondestructive evaluation, seismic prospecting, and radar and microwave imaging. We owe Prof. Devaney a great debt for writing this immensely useful book."Margaret Cheney, Professor, Rensselaer Polytechnic Institute"An outstanding text on the foundations of the theory of imaging and wavefield inversion by a leading expert in these fields."Emil Wolf, Wilson Professor of Optical Physics, University of Rochester"I have found this monograph by Professor Tony Devaney on the foundations of imaging and linearized inverse scattering, to be one of the best scientific books I have read in years. It provides a clear understanding of the physics of the problem through a careful yet elegant and fluent mathematical treatment. Then, having gained the necessary physical insight of the physics,  the Fourier based representation is replaced by the much more powerful singular value decomposition that provides a uniform framework for treating virtually all of the linearized inverse problems.  By combining theory with MATLAB-based examples, the author promotes a complete understanding of the material and provides a basis for real-world applications. The book is highly recommended as a textbook for graduate courses and as a reference for researchers working in the general areas of computational inverse scattering."Ehud Heyman, Professor, Tel Aviv University"This book contains a wealth of valuable material on forward and inverse problems encountered in propagation, radiation, and scattering of waves presented in a concise, rigorous, and comprehensive manner. The primary emphasis is on the mathematical foundation of the subject, but the material is also of great interest in a variety of different applications. The book is a must for students and researchers in the field, and will serve well as a graduate text."Jakob Stamnes, Professor, University of Bergen"This is an exemplary textbook and reference about the theory of imaging based on the mathematical analysis of wave propagation. The author and publisher have produced a novel work that gives a complete foundation for the understanding and solution of inverse problems with applications to many types of imaging. This book is eminently suitable for a comprehensive graduate course."Barry R. Masters, Optics & Photonics News