Paramanand's Math Notes

In the previous post we established the general binomial theorem using Taylor's theorem which uses derivatives in a crucial manner. In...

Introduction One of most basic algebraic formulas which a student encounters in high school curriculum is the following $$(a + b)^{2} = a...

Continuing our journey from last two posts we present some more approaches to the development of the theory of circular functions. One ap...

In the last post we covered the traditional approach towards the theory of circular functions which is based on geometric notions related ...

While answering certain questions on MSE in last few weeks it occurred to me that ample confusion is prevalent among students (and instru...