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The monograph is devoted to an important fundamental problem of plasma physics - the reconnection of magnetic field lines, or "magnetic reconnection", which initiates non-stationary high-energy phenomena both in space and in laboratory conditions. Within the framework of the magnetohydrodynamic approach, the theoretical aspects and applications of magnetic reconnection are presented. The basic concepts and processes inherent in magnetic reconnection, such as the formation of current sheets during collapse at the X-type zero point, the global three-dimensional magnetic topology with special lines of force, various modes and types of reconnection, etc., are considered sequentially. The role of magnetic reconnection in the interpretation of observations and building models of various phenomena on the Sun and in the Earth's magnetosphere, in the acceleration of charged particles. The results of targeted laboratory experiments on the study of magnetic reconnection are presented. For researchers, specialists in plasma physics, magnetohydrodynamics, astrophysics, solar physics and geophysics, students and graduate students of relevant specialties.