# Category: Study Notes

## Solving Integral Equations (4) : Integral Equations into Differential Equations

Introduction In earlier parts we discussed about the basics of integral equations and how they …

## New Math Series: Selected Topics in Functional Analysis

This series of study notes is aimed for post-graduate (M.A/M.Sc.) students of Indian & international …

## Symmetry in Physical Laws

‘Symmetry’ has a special meaning in physics. A picture is said to be symmetrical if …

## Statistical Physics: Macrostates and Microstates

Consider some (4, say) distinguishable particles. If we wish to distribute them into two exactly …

## Solving Integral Equations (3) -Changing Differential Equations into Integral Equations

This post explains the basic method of converting an integral equation into a corresponding differential equation.

## Solving Integral Equations (2) – Square Integrable Functions, Norms, Trial Method

Square Integrable function or quadratically integrable function $\mathfrak{L}_2$ function A function $y(x)$ is said to …