Mathematical aspects of synergy

The paper is devoted to the concept of "synergy" and its semantic characteristics - an interdisciplinary direction of scientific research, synergistic effects, joint actions. The line between them is not always clear. And while the thought of synergy seems trivial enough, it has not yet penetrated the mass consciousness of economists. In the paper, attention is paid to such an understanding of synergy, which may be more in demand for economists and will help mathematically support some economic considerations. The paper considers four mathematical examples that can be used to express synergy: production synergy in the theory of the firm, synergy effect in the theory of consumption, tax savings and synergy in management.