Abstract
Partial differential equations emerged when shortcomings with the use of ordinary differential equations were found in the study of vibrations of strings, propagation of sound, waves in liquids and in gravitational attraction. Originally the calculus of partial derivatives was supplied by Euler in a series of papers concerned with hydrodynamics in 1734. This work was extended by D’Alembert in 1744 and 1745 in connection with the study of dynamics.
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© 1999 Springer-Verlag London
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Evans, G.A., Blackledge, J.M., Yardley, P.D. (1999). Mathematical Preliminaries. In: Analytic Methods for Partial Differential Equations. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0379-0_1
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DOI: https://doi.org/10.1007/978-1-4471-0379-0_1
Publisher Name: Springer, London
Print ISBN: 978-3-540-76124-2
Online ISBN: 978-1-4471-0379-0
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