A book of famous English mathematicians, systematically outlining the main questions of the theory of non-abelian autodual monopolies . The rapid development of this theory, the equations of which are quite integrable, is associated with the methods of twistor theory and hypercaler geometry and made it possible to describe the spaces of monopole modules and the simplest scattering processes. with this theory are closely connected in the space of the modules of instantons, so important in modern topology, the reader will be able to learn all these things from this small book and get acquainted with the mutually enriching interaction of modern geometry and physics first-hand. The book also discusses numerical calculations of scattering processes.. For mathematicians of different specialties (algebraic geometry, topology, geometry, complex analysis, mathematical physics), theoretical physicists, postgraduate and university students .