This book presents a unified theory of the Finite Element Method and the
Boundary Element Method for a numerical solution of second order
elliptic boundary value problems. While there are textbooks on the
finite element method, this is one of the first books on Theory of
Boundary Element Methods. The book includes the solvability, stability,
and error analysis as well as efficient methods to solve the resulting
linear systems. Applications are the potential equation, the system of
linear elastostatics and the Stokes system. The book is suitable for
self study and exercises are included.