Excerpt from Algebraic Aspects in the Theory of Systems of Linear Differential Equations
The columns of Y form a set of n linear independent solutions of i.s., a set of vectors with components yv satisfying Equation (3) may be interpreted in an even more general way if we assume that Y and A are linear operators in a Hilbert space which depend on a parameter t in a manner which allows differentiation and integration with respect to t.
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Paperback. Zustand: New. Print on Demand. This book delves into the mathematical world of linear differential equations and their intriguing connection to systems of matrices. The author unfolds the underlying algebraic aspects, providing a deeper understanding of these equations and their applications. Building upon the work of earlier mathematicians, the book unveils a formula that relates the solutions of linear differential equations to a complex exponential function of a matrix. Notably, this formula finds applications in a range of scientific fields, including quantum mechanics and theoretical physics. The author engages readers with clear explanations and step-by-step derivations, illuminating the beauty and utility of this mathematical connection. Throughout the book, the author explores the nuances of these equations and provides insights into their behavior, showcasing the profound impact of mathematics in unraveling the complexities of the natural world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332778003_0
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