This article deals with the Fourier expansions using SymPy, a Python library for symbolic calculations. An example in this article provides an identity for pi, which will be examined numerically by Numpy, a Python library for numerical cal…

This article demonstrates a way to check if the Schwarzschild metrc satisfies the Einstein equation using a Python library "SymPy". In general, in order to examine the Einstein equation, one needs to compute various objects, for instance, …

This article introduces a way to find the Laplace operator (Laplacian) in polar coordinates. The Laplace operator of 2-dimensional and 3-dimensional spaces often appears in problems in electromagnetism, quantum mechanics and so on, for tho…