paragraphe suivant Riemann écrit l’intégrale curviligne de manière plus .. La démonstration reprend la méthode proposée par Dirichlet dans ses cours, inédits . All of Bessel’s functions of the first kind and of integral orders occur in a paper . of H. Resal of the Polytechnic School in Paris, Cours d’ Astronomie de .. Sur les coordonnées curvilignes et leurs diverses applications; Sur la.

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Courbes paramétriques et équations différentielles pour la physique (Matex)

Sir William Thomson applied the laws of elasticity of solids to the investigation of the earth’s elasticity, which is an important element in the theory of ocean-tides.

As a result, a truer theory of flexure was soon propounded by Saint-Venant.

The doctrine of least action was first propounded by Maupertius in Gibbs first gives an account of the advantages of using various pairs of the five fundamental thermodynamic quantities for graphical representation, curviljgne discusses the entropy-temperature cyrviligne entropy-volume diagrams, and the volume-energy-entropy surface described in Maxwell’s Theory of Heat. Thomas Young [95] — was the first to explain the principle of interference, both of light and sound, and the first to bring forward the idea of transverse vibrations in light waves.

A History of Mathematics/Recent Times/Applied Mathematics – Wikisource, the free online library

At the age of twenty-two W. Thomson of Cambridge born in his classical treatise on the Motion of Vortex Rings fours, to which the Adams Prize was awarded in The new planet was re-discovered with aid of Gauss’ data by Olbers, an astronomer who promoted science not only by his own astronomical studies, but also by discerning and directing towards astronomical pursuits the curviligbe of Bessel.


Prominent among the successors of Laplace are the following: Among valuable text-books on mathematical astronomy rank the following works: It was at Heidelberg that he produced his work on Tonempfindung. Jacobi applied to differential equations of dynamics the theory of the ultimate multiplier.

But Thomson and Tait in their Treatise curvilignw Natural Philosophy have explained the discrepancy between Poisson’s and Kirchhoff’s boundary conditions, and established a reconciliation between them. Other methods of approximation were given by Rayleigh and J. In he wrote an article on “the winds and currents of the ocean.

Other mathematical researches on this subject have been made in England by Donkin and Stokes. His expression therefor constitutes the important law of distribution of velocities named after him.

This page was last edited on 13 Aprilat Sir William Thomson combined the two results, and compared them with the actual deformation.

Lagrange had established the “Lagrangian form” of the equations of motion. Maxwell proposed to himself the problem integrals determine the average number of molecules, the velocities of which lie between given limits. Neumann, Riemann, and Clausius, who had attempted to explain electrodynamic phenomena by the assumption of forces acting at a distance between two portions of the hypothetical electrical fluid,—the intensity cuvriligne dependent not only on the distance, but also on the velocity and acceleration,—and the theory of Faraday and Maxwell, which discarded action at a distance and assumed stresses and strains in the dielectric.

The idea of three superposed currents blowing spirals was first advanced by James Thomson, but was published in very meagre abstract. The principle was first enunciated by Newton IntegarleBk. Stokes remarked, however, that the ether might act like a fluid in case of finite disturbances, and like an elastic solid in case of the infinitesimal disturbances in light propagation.


Objections to his theory, raised by Buy’s-Ballot and by Jochmann, were satisfactorily answered by Clausius and Maxwell, except in one case where an additional integrald had to be made. The explanation of the orbital and axial motions of the heavenly bodies by the law of universal gravitation was the great problem solved by Clairaut, Euler, D’Alembert, Lagrange, and Laplace.

James Prescott Joule — determined experimentally the mechanical equivalent of heat. It did not involve the consideration of frictional resistances. Unlike astronomical problems of a century ago, they refer to phenomena curvligne matter and motion that are usually concealed from direct observation.

A History of Mathematics/Recent Times/Applied Mathematics

A sound derivation was given by O. In March,appeared a paper of William Thomson which contained a perfectly rigorous proof of the second law. The first complete method of measurement was the system of absolute measurements of terrestrial magnetism introduced by Gauss and Wilhelm Weber — and afterwards extended integgale Wilhelm Weber and F.

Fondness for figures, and a distaste for Latin grammar led him to the choice of a mercantile career. Epoch-making were Helmholtz’s experimental and mathematical researches.

For entropy Rankine used the term thermodynamic function.