Providing a unified introduction to the underlying ideas of the Boundary Element Method (BEM), this book places emphasis on the principles of the method rather than its numerical implementation. Mathematics, when used, is explained in context while mathematical details that might otherwise obscure the text are contained in appendices. The author includes many worked examples to reinforce understanding while, to aid practice, trial problems are also given in each chapter. Another important feature is the algorithmic approach to the derivation of the governing equations which enables readers new to the BEM to make more rapid progress. Primarily aimed at undergraduates in applied sciences, their teachers, and other newcomers to the subject including practicing engineers, the book provides an ideal grounding for more advanced and specialized work in the BEM.