![]() ![]() Laplace transform of discontinuous functions. ![]() Series solutions for the second order equations.Part IV: Second and Higher Order Differential Equations.Numerical solution using DSolve and NDSolve.Equations reducible to the separable equations.In fact, the Feynman diagram can be considered to be a pictorial representation of a Green function (a Green function associated with wave operators) - what Richard Feynman referred to as a ‘propagator’. In particular, the development of the Feynman diagram was based on the Green function. More recently, the Green function has been the working tool of calculations in particle physics, condensed matter and solid state physics, quantum mechanics and many other topics of applied mathematics and mathematical physics. The Green function is a powerful mathematical tool that was successfully applied to classical electromagnetism and acoustics in the late Nineteenth Century. This invention was developed in an essay entitled Mathematical Analysis to the Theories of Electricity and Magnetism originally published in Nottingham in 1828 and reprinted by the George Green Memorial Committee to mark the bicentenary of the birth of George Green in 1993 when he was finally given the recognition he deserved. Green's functions are named after the British mathematician and physicist George Green born in Nottingham in 1793 who ‘invented’ the Green function in 1828.
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