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Partial differential equations
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- A second year course in the Mathematics of partial differential equations for physics students. Contains lecture notes, examples, ... as well as the files used to create these resources. Discusses: 1 Introduction 2 Classification of partial differential equations. 3 Boundary and initial conditions 4 Fourier series 5 Separation of variables on rectangular domains 6 D’Alembert’s solution to the wave equation 7 Polar and spherical coordinate systems 8 Separation of variables in polar coordinates 9 Series solutions of O.D.E. 10 Bessel functions 11 Separation of variables in three dimensions
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