In boundary element methods, the problem is reduced to solving the discrete analogue of the boundary integral equation. The book of famous specialists P. Benerji (USA) and R. Butterfield (England) contains a systematic and closed presentation of these methods, aimed at direct users of engineers. Methods are applied to solving problems of hydrodynamics, theory of elasticity and plasticity, theory of filtration, fracture mechanics, etc., and are compared with other numerical methods. For applied mathematicians, physicists, mechanics, engineers, graduate students and university students.