The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration system identification nondestructive testing and ultrasonic tomography the aim of this book is twofold in the first part the reader is exposed to the basic notions and difficulties encountered with ill posed problems. An introduction to the mathematical theory of inverse problems applied mathematical sciences vol 120 by andreas kirsch 2011 04 06 andreas kirsch books amazonca. An introduction to the mathematical theory of inverse problems andreas kirsch in this section we present some examples of pairs of problems that are inverse to each other. One of the main challenges in inverse problems is that they are often ill posed so that small errors in the input are magnified when one attempts to determine the inverse solution to me one of the big takeaways from the book was how useful functional analysis is in inverse problems both from an analysis point of view and an applied . Contents introduction inverse problems modeled by integral equations of the first kind causation parameter estimation in differential equations model identification mathematical