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Adrien-Marie Legendre was a French mathematician who made numerous contributions to mathematics. Well-known and important concepts such as the Legendre polynomials and Legendre transformation are named after him.
In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R, where U is an open subset of Rn, that satisfies Laplace's equation, that is,
In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations in many scientific fields.
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George Ridsdale Goldsbrough FRS was an English mathematician and mathematical physicist.
References
- ↑ Cartwright, David Edgar (2000). Tides: A Scientific History . Cambridge University Press. pp. 85–87.
- ↑ Hough, S. S. (1897). On the Application of Harmonic Analysis to the Dynamical Theory of the Tides. Part I. On Laplace's' Oscillations of the First Species, and on the Dynamics of Ocean Currents. Proceedings of the Royal Society of London, vol. 61, 201–257.
- ↑ Hough, S. S. (1898). On the application of harmonic analysis to the dynamical theory of the tides. Part II. On the general integration of Laplace's dynamical equations. Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, vol. 191, 139–185.