This work presents a thorough treatment of boundary element methods
(BEM) for solving strongly elliptic boundary integral equations obtained
from boundary reduction of elliptic boundary value problems in
$\mathbb{R}^3$. The book is self-contained, the prerequisites on
elliptic partial differential and integral equations being presented in
Chapters 2 and 3. The main focus is on the development, analysis, and
implementation of Galerkin boundary element methods, which is one of the
most flexible and robust numerical discretization methods for integral
equations. For the efficient realization of the Galerkin BEM, it is
essential to replace time-consuming steps in the numerical solution
process with fast algorithms. In Chapters 5-9 these methods are
developed, analyzed, and formulated in an algorithmic way.