The solution to Dido's Problem involves the application of this technique, as does the solution of Sinclair's Soap Film Problem, to which the solution is a catenoid. Morse theory is a generalization of this technique, drawing
The solution to Dido's Problem involves the application of this technique, as does the solution of Sinclair's Soap Film Problem, to which the solution is a catenoid. Morse theory is a generalization of this technique, drawing a relationship between the stationary points of a smooth, real-valued function on a manifold and the global topology of the manifold. In solving problems with this method, one frequently encounters functional derivatives, and its most famous result, the differential equations of motion, are a result of the functional differentiation of the Hamiltonian. Applied in physics to find maxima and minima, 2  FTP, identify this mathematical technique concerned with finding the path for which a given function has a stationary value.
The solution to Dido's Problem involves the application of this technique, as does the solution of Sinclair's Soap Film Problem, to which the solution is a catenoid.
calculus of variations