Equations with Transformed Argument: An Algebraic Approach (Modern Analytic and Computational Methods in Science and Mathematics)

Cloth hardcover, xv + 354 pages, NOT ex-library. Clean, untanned interior with unmarked text, free of inscriptions and stamps, firmly bound. Limited signs of light handling wear; faint dusty marks on outer page edges. Average, aged dust jacket, edges reinforced with tape, a number in pen in the upper spine corner of the front panel. -- This academic monograph presents a specialised algebraic method for solving equations where the unknown function has a transformed argument. It is a foundational text in the development of Algebraic Analysis, a field pioneered by the author to study linear operators without relying on traditional topology. The Algebraic Approach: The book introduces a purely algebraic theory of right invertible operators to solve differential, integral, and difference equations. Involutions and Shifts: A core focus is on equations involving involutions (operators that are their own inverse) and periodic shifts, which allow complex analytical problems to be reduced to simpler algebraic systems. It serves as a bridge between classical mathematical analysis and modern algebra, providing a theoretical framework for the study of linear functional equations. -- Danuta Przeworska-Rolewicz (1931-2012) was a distinguished Polish professor at the Institute of Mathematics of the Polish Academy of Sciences, widely regarded as the creator of modern Algebraic Analysis. Beyond her monumental scientific legacy, she is notable for her early life, having survived the brutal 1944 Warsaw Uprising as a child courier for the Polish Home Army, before becoming one of the most prominent female mathematicians in post-war Europe.…