math module consists mostly of thin wrappers around the platform C math library functions. cmath provides a similar, but not identical, selection of functions which always return complex numbers (but constants such as e, pi or tau are floats): >>> import cmath >>> cmath.sqrt(4) (2+0j) >>> cmath.e 2.718281828459045
math, sqrt(-1) raises ValueError while cmath returns i (1j) for this expression.