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complex variables and differential equations 18101822
Cauchys inauguration of mathematical analysis 18201827
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Academie aether Ampere Ampere's analysis Arago Arago's Annales axes Biot Biot's body calculation caloric caloric theory Cauchy Cauchy's chapter cited coefficients complex complex-variable Connaissance des temps constant convergence cooling Coriolis Cours defined described diffusion equation discussed Ecole Polytechnique elastic elasticity theory engineering equilibrium Euler evaluation example expression Ferrusac's Bulletin fluid forces vives formula Fourier series Fresnel functions gave geometry given heat diffusion heat theory infinite Journal Lagrange's Laplace Laplace's Laplace's equation Laplacian later lecture Legendre linear magnetism manuscript mathematical mathematical analysis Mecanique mechanics Memoires molecules motion Navier notation noted obtained optics paper Paris partial differential equations physics plane Poinsot Poisson polarisation Poncelet power series presented principle prize Prony proof propagation published quantity radiation savants Societe Philomatique summary surface temperature theorem tion took values variable various velocity vibrations volume wave zero