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\u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f\u043c\u0438 \u0432 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0456\u0439 \u0444\u0456\u0437\u0438\u0446\u0456.","summary":"This monograph develops a theory of continuous and differentiable in the sense of Gateaux functions called monogenic functions taking values in some vector spaces with commutative mul\u0002tiplication. The study of these monogenic functions in various commutative algebras leads to a discovery of new ways of solving boundary value problems in mathematical physics. The book con\u0002sists of six parts: Part I presents some preliminary notions and introduces various concepts of dif\u0002ferentiable mappings of vector spaces. Part II\u2013V is devoted to the study of monogenic functions in various spaces with commutative multiplication, namely, three imensional commutative alge\u0002bra with two-dimensional radical, finite-dimensional commutative associative algebras, infinite\u0002dimensional vector spaces associated with the three-dimensional Laplace equation and infinite\u0002dimensional vector spaces associated with axial-symmetric potential fields. Part VI presents some boundary value problems for axial-symmetric potential fields and develops effective analytic me\u0002thods of solving these boundary value problems with various applications in mathematical physics.","\u0447\u0438\u0442\u0430\u0446\u044c\u043a\u0430_\u0430\u0443\u0434\u0438\u0442\u043e\u0440\u0456\u044f":"\u041a\u043d\u0438\u0433\u0430 \u043f\u0440\u0438\u043d\u0435\u0441\u0435 \u043a\u043e\u0440\u0438\u0441\u0442\u044c \u044f\u043a \u0430\u0441\u043f\u0456\u0440\u0430\u043d\u0442\u0430\u043c, \u0442\u0430\u043a \u0456 \u0434\u043e\u0441\u043b\u0456\u0434\u043d\u0438\u043a\u0430\u043c.","reading_audience":"Graduate students and researchers alike benefit from this 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