Supplement on Lagrangian, Hamiltonian Mechanics
نویسنده
چکیده
⋆ When there are several independent variables it is easy to make mistakes in taking partial derivatives. The fundamental rule is: always know which set of independent variables is in use, so that you are sure which are being held fixed during the process of taking a partial derivative. ⋆ A simple example will illustrate the problems that await the careless. Start with f(x, y) = 2x + y; ∂f/∂x = 2. (1) But suppose we prefer to consider f as a function of x and z = x + y. Then f(x, z) = x + z; ∂f/∂x = 1. (2)
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تاریخ انتشار 2009