"Version: 20151201"--Title page verso.Includes bibliographical references.Preface -- 1. Introduction -- 1.1. A tour through theory and applications -- 1.2. Types of inverse problems2. Functional analytic tools -- 2.1. Normed spaces, elementary topology and compactness -- 2.2. Hilbert spaces, orthogonal systems and Fourier expansion -- 2.3. Bounded operators, Neumann series and compactness -- 2.…