Partial Differential Equations of Mathematical Physics

Part of the Undergraduate Lecture Notes in Physics book series (ULNP)


If an unknown function of several variables and its partial derivatives are combined in an equation, the latter is called a partial differential equation (PDE ) . Several times above we have come across such PDEs when dealing with functions of several variables. For instance, in Sect. I.6.5.1 we derived the continuity equation for the particle density which contains its partial derivatives with respect to time t and the spatial coordinates x, y and z.


Wave Equation Heat Transport Laplace Equation Heat Conduction Equation Laplace Transform 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Physics Department School of Natural and Mathematical SciencesKing’s College London, The StrandLondonUK

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