Mathematical Preparation and Rules of Tracing
Few equations of motion are solvable in terms of known analytic functions in physics and chemistry. We are often compelled to look for some approximate solutions or physical models which yield exactly solvable equations since they furnish more insight into the nature of the system of interest than the exact, but numerical solutions. Frequently, approximations are made on physical rather than on mathematical grounds. Of course, this does not mean that mathematics is completely ignored.
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