Variational Calculus

Variational calculus is a mathematical technique used to find the optimal way to perform a task by analyzing how a certain quantity behaves when you change its parameters. It’s often applied in physics and engineering to determine the best path or shape that minimizes or maximizes a particular function, like energy or distance. By considering small variations in a function, variational calculus helps identify the conditions for achieving the best outcome, often leading to equations like those found in Einstein’s theory of relativity. Essentially, it deals with the principles of optimization across various fields.