The boundary element method (BEM) also known as the boundary integral equation method (BIEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modeling effort. The book is designed to provide the readers with a comprehensive and up-to-date account of the method and its application to problems in engineering and science. Each chapter provides brief description off historical development followed by basic theory, derivation and examples.