Recent results on partial differential equations and complex analytic methods on singular integral equations are presented here with related subjects. Many of the contributions are survey articles. Topics ranging from elliptic, parabolic, hyperbolic, and mixed-type equations and systems to hyper-complex and quatern ionic analysis, M-analytic, bianalytic, polyharmonic and functions of several complex variables are covered. Applications to mathematical physics are also included. This book is aimed at specialists in partial differential equations and related topics. Those with an interest in real and complex methods and in applications to mathematical physics should also find this book useful.