Using the generating function to show how Legendre polynomials arise from its expansion.
SOURCE FOR CONTENT: Neuenschwander D.E.,2015. Tensor Calculus for Physics. Johns Hopkins University Press. At some level, we all are aware of scalars and vectors, but typically we don’t think of aspects of everyday experience as being a scalar or a vector. A scalar is something that has only magnitude, that is it only has a numeric […]
SOURCES FOR CONTENT: Chandrasekhar, S., 1960. “Radiative Transfer”. Dover. 1. Choudhuri, A.R., 2010. “Astrophysics for Physicists”. Cambridge University Press. 2. Boyce, W.E., and DiPrima, R.C., 2005. “Elementary Differential Equations”. John Wiley & Sons. 2.1. Recall from last time , the radiative transfer equation where and are the emission and absorption coefficients, respectively. We can further define […]
Basics of Tensor Calculus and General Relativity: An Overview
A mathematical analysis of forced oscillations.
Derivation of the speed of light from Maxwell’s equations