Calculus of Variations: The shortest distance between two points is not always a straight line

Kathryn Hunninen


Abstract: The calculus of variations is a method of finding the function of a curve line or surface that is an optima (maximum or minimum). Often the optimal function or curve is a solution to a differential equation, found through the methods of calculus of variations. Applications include problems in economics, general relativity and quantum mechanics. The final product of this project is a poster including a basic explanation of this little-known branch of mathematics. In addition, a supplementary folder of example applications is available for a further look at the explored methods.



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