George C. Hsiao received a bachelor's degree in Civil Engineering from National Taiwan University, a master's degree from Carnegie Institute of Technology in the same field, and a doctorate degree in Mathematics from Carnegie Mellon University. He is now the Carl J. Rees Professor of Mathematics Emeritus at the University of Delaware from which he retired in September 2012 after 43 years on the faculty of the Department of Mathematical Sciences. His primary research interests are integral equations and partial differential equations with their applications in mathematical physics and continuum mechanics.

Wolfgang L. Wendland, now Professor Emeritus at the University Stuttgart was studying mechanical engineering and mathematics at the Technical University Berlin and became Full Professor for Mathematics 1970-1986 at the TU Darmstadt and 1986-2005 at the University Stuttgart. His research interests are in Applied Mathematics with emphasis on partial differential equations and integral equations as well as approximation and numerical methods with applications to continuum mechanics of flow and elasticity problems.

Both authors are well known for their fundamental work on boundary integral equations and related topics.

This book contains two parts: The first six chapters present the modern mathematical theory of boundary integral equations with applications on fundamental problems in continuum mechanics and electromagnetics, while the second six chapters present an introduction to the basic theory of classical pseudo-differential operators so that the particular boundary integral equations arising in the aforementioned applications can be recast as pseudo-differential equations which serve as concrete examples illustrating the basic ideas how one may apply the theory of pseudo-differential operators and their calculus to obtain basic properties for the corresponding boundary integral operators. The book is unique in the sense that no existing books provided these two complimentary features simultaneously

The two new chapters on Maxwell's equations summarizing the most up-to-date results in the literature. The book is unique in the sense that these two chapters are sufficiently enough to serve as an introduction to the modern mathematical theory of boundary integral equations in electromagnetics and provide the mathematical foundation of boundary element methods for computational electromagnetics

This book is unique in the sense that it includes theory and applications of boundary integral equations arising in potential flow, acoustics, elasticity, Stokes flow and electromagnetics. Because of the breadth of these applications, it will attract a broader readership than any of the exiting books