Calculus Of Variations

# Introduction

- Functional
- function of a function, i.e., some function that takes another function as an argument, and returns a number.

Calculus of Variations is trying to find extrema to functionals.

## Which problems can be solved?

- Find a function that minimizes or maximizes the given functional (sort of optimality criterion).
- Find the shortest path on some terrain (geodesics).
- Find the maximal area surrounded by a given length rope.
- Find the closest to image edges curve that has smoothness constraints.

## Learning path

Most of the theory is based on Euler-Lagrange equation.

# Map

page revision: 4, last edited: 22 Aug 2011 06:48