Essay from the year 2015 in the subject Mathematics - General, Basics, , language: English, abstract: In mathematics a greens function is type of function used to solve inhomogeneous differential equations subject to specific initial conditions or boundary conditions. Greens functions provide an important tool when we study the boundary value problem. They also have intrinsic value for a mathematician.Also greens functions in general are distribution, not necessarily proper function. Green functions are also useful for solving wave equation, diffusion equation and in quantum mechanics, where the greens function of the Hamiltonian is a key concept, with important links to the concept of density of states. In this project construction of greens function in one and two dimension has shown. There are more then one way of constructing greens function (if it exist) but the result is always same. Due to this we can say that greens function for a given linear system is unique.