This text investigates the rigorous mathematical foundation of operational calculus, specifically addressing the algebraic treatment of differential equations. Jan Mikusinski, a prominent mathematician, presents a systematic approach to the theory of operators, moving beyond the heuristic methods of Heaviside to establish a formal algebraic framework. The book utilizes the convolution algebra of continuous functions to define operators, providing a consistent method for solving linear differential equations with constant coefficients.

Experts recognize this work as a foundational text that successfully formalized the operational calculus into a rigorous branch of mathematical analysis. Readers frequently note the high level of mathematical maturity required to follow the formal proofs and the logical density of the prose.