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The mathematical tools used in signal analysis involve differential and difference equations, integral equations, matrix algebra and calculus, complex analysis and probability theory and random processes. This book applies these tools to problems in various branches of physics, such as fluid dynamics, electromagnetism and quantum theory. The book will be of use to researchers in signal processing, physics and applied mathematics. Partial differential equations are introduced as an additional tool in signal analysis. The book will be of use to signal processing experts who are interested in developing tools for the analysis of signals arising in real systems.