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Invariants Of Systems Of Linear Differential Equations is a mathematical text written by Ernest Julius Wilczynski and published in 1901. The book focuses on the study of invariants, which are mathematical properties that remain constant under certain transformations. Specifically, the book explores invariants of systems of linear differential equations, which are equations that involve functions and their derivatives. The book is divided into two main parts. The first part provides an introduction to the theory of invariants, including the basic concepts and definitions. The second part applies this theory to systems of linear differential equations, discussing the invariants of such systems and how they can be used to solve problems. Throughout the book, Wilczynski uses a variety of mathematical techniques and tools, including matrix algebra, group theory, and differential geometry. The book is aimed at advanced students and researchers in mathematics and physics, and assumes a strong background in calculus and linear algebra. Overall, Invariants Of Systems Of Linear Differential Equations is a classic work in the field of mathematical physics, and remains an important reference for anyone interested in the theory of invariants and its applications to differential equations.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.