Speaker
Description
The Legendre-Fenchel transport of a real-valued function is mathematical too used to represent a function in terms of its derivatives. In this work we studdied the introductory background of the Legendre-Fenchel transform and also how the Legendre transform was generalised by Fenchel to a non-differentiable and non-convex function called the Legendre-Frencel transform. We alo studied the concept of convex function, strictly convex function in relation to the transform. Again we focused on the central importance of the Legendre-Fenchel transform in physics especialy classical and statistical mechanics where it provides the connection between the Hamiltonian and the Legrangian(deriving Hamiltonian from a Lagrangian) and establish the relation between the internal energy and various thermodynamics potentials like Gibbs and Helmholtz free energy, ect. . A general motivation follow up with standard were provided to add flesh to the work.
