This book describes mathematical techniques for integral transforms in a detailed but concise
manner. The techniques are subsequently applied to the standard partial differential equations
such as the Laplace equation the wave equation and elasticity equations. Green¿s functions for
beams plates and acoustic media are also shown along with their mathematical derivations. The
Cagniard-de Hoop method for double inversion is described in detail and 2D and 3D elastodynamic
problems are treated in full. This new edition explains in detail how to introduce the branch
cut for the multi-valued square root function. Further an exact closed form Green¿s function
for torsional waves is presented as well as an application technique of the complex integral
which includes the square root function and an application technique of the complex integral.