1 Introduction.- 2 The Helmholtz Equation.- 3 Direct Acoustic Obstacle Scattering.- 4 Ill-Posed Problems.- 5 Inverse Acoustic Obstacle Scattering.- 6 The Maxwell Equations.- 7 Inverse Electromagnetic Obstacle Scattering.- 8 Acoustic Waves in an Inhomogeneous Medium.- 9 Electromagnetic Waves in an Inhomogeneous Medium.- 10 The Inverse Medium Problem.- References.

This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. The second edition includes material on Newton's method for the inverse obstacle problem, an elegant proof of uniqueness for the inverse medium problem, a discussion of the spectral theory of the far field operator and a method for determining the support of an inhomogeneous medium from far field data.