Inverse Schrödinger Scattering in Three Dimensions

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The book delves into the foundational role of differential equations in physics, tracing their origins back to Isaac Newton. It highlights the distinction between equations of motion and the specific forces and shapes that influence them. The focus is on how physicists infer properties of objects that are beyond direct observation by analyzing their effects. The text emphasizes the process of solving direct problems, where theoretical predictions derived from differential equations are compared with experimental data to validate or challenge our understanding of nature.