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some of the most common rstand second order PDEsof MathematicalPhysics. In particu- lar, we shall look in detail at elliptic equations (Laplace?s equation), describing steady-state

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Acknowledgements I would like to thank my supervisor, Prof. Nicholas Young, for the patient guidance, encouragement and advice he has provided throughout my time as his student. I have been extremely lucky to have ... my wife, for her continued support and encouragement. I was

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First order PDEs: linear & semilinear characteristics quasilinear nonlinear system of equations Second order linear PDEs: classi cation elliptic parabolic Book list: P. Prasad & R. Ravindran, \Partial Di erential Equations", Wiley Eastern, 1985. W. E. Williams, \Partial Di erential Equations", Oxford University Press, 1980.

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4 Figure 4.1: Pascal’s Triangle Pascal’s triangle can be used to compute the likelihood of any event with even odds occurring. Consider, for instance, the odds that a couple expecting their first child will

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4 Yvan Monka – Académie de Strasbourg – www.maths-et-tiques.fr On a par exemple : - P(X = 3) = p3. En effet, en suivant les branches sur le haut de l'arbre, on arrive à 3 succès avec une