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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One part of the theory of capillary attraction, left defective by Laplace, namely, the action of a solid upon a liquid, and the mutual action between two liquids, was made dynamically perfect by Gauss. Michelson’s work on interference, and his application of interference methods to astronomical measurements. He attributed to gas-molecules great velocity, explained the pressure of a gas by molecular bombardment, and deduced Boyle’s law as a consequence of his assumptions.

Heaviside and Poynting have reached remarkable mathematical results in their interpretation and development of Maxwell’s theory.

Basset, is of importance in hydro-dynamical problems relating to the motion of perforated solids in a liquid, and in other branches of physics. On peut aussi taper la commande en toutes lettres en bloquant le clavier en minuscules F5. His success in this inspired him for astronomical study.

## A History of Mathematics/Recent Times/Applied Mathematics

The free motion of a solid in a liquid has been investigated by W. An important addition to the theory of the motion of a solid body about a fixed point was made by Madame Sophie de Kowalevski [96] —who discovered a new case in which the differential equations of motion can be integrated.

The kinetic energy is expressed in the first form as a homogeneous quadratic function of the velocities, which are the time-variations of the co-ordinates of the system; in the second form, as a homogeneous quadratic function of the momenta of the system; the third form, elaborated recently by Edward John Routh of Cambridge, in connection with his theory of “ignoration of co-ordinates,” and by A.

In the British Association and the Royal Society appointed a special commission with Sir William Thomson at the head, to consider the unit of electrical resistance. He deserves much credit for his derivation and transformation of the general elastic equations, and for his application of them to double refraction. Pour saisir une commande, cherchez-la depuis le catalogue touche F4.

Rectangular and triangular membranes were shown by him to be connected with questions in the theory of numbers. His father destined him for the medical profession, but so repugnant was this to him that he was permitted to enter the Polytechnic School at the age of seventeen.

In March,appeared a paper of William Thomson which contained a perfectly rigorous proof of the second law. The mathematical theory of pipes and vibrating strings had been elaborated in the eighteenth century by Daniel Bernoulli, D’Alembert, Euler, and Lagrange. The vortex-atom theory is discussed by J. Graphiquement, par exemple L: Chief among recent workers on the mathematical theory of capillarity are Lord Rayleigh and E.

In other languages Add links. Weber’s chief researches were on electrodynamics.

Dziobektranslated curvilighe English by M. The boy was put out to a nurse, and he used to tell that when his father a common soldier came to see him one day, the nurse had gone out and left him suspended by a thin cord to a nail in the wall in order to protect him from perishing under the cirviligne of the carnivorous and unclean animals that roamed on the floor.

The electro-magnetic theory has received developments from Lord Rayleigh, J. He prepared some publications, mainly on applied mathematics. Maxwell’s first deduction of this average from his law of distribution was not rigorous. The mathematical analysis of F. It contained what is now known as “Green’s theorem” for the treatment of potential. The transport of Krakatoa dust and observations made on clouds point toward the existence of an upper east current on the equator, and Pernter has mathematically deduced from Ferrel’s theory the existence of such a current.

The charge brought by practical engineers, like Vicat, against the corus led Saint-Venant to place the theory in its true imtegrale as a guide to the practical man. Binet in France, and G.

While yet an undergraduate at Cambridge, during holidays spent at the seaside, he entered upon researches of this kind by working out the theory of spinning tops, which previously had been only partially explained by Jellet in his Treatise on the Theory of Frictionand by Archibald Smith.

These results suggested to Sir William Thomson the possibility of founding on them a new form of the atomic theory, according to which every atom is a vortex ring in a non-frictional ether, and as such must be absolutely permanent in substance and duration. This page was last edited on 13 Aprilat A corollary to it, applied in ship building, goes by the name of William Froude’s law, but was enunciated also by Reech.

Thomson predicted by mathematical analysis that the discharge of a Leyden jar through a linear conductor would in certain cases consist of a series of decaying oscillations. The research above mentioned received the Bordin prize of the French Academy inwhich was doubled on account of the exceptional merit of the paper. Experiment of Joule and Lord Kelvin seem to support the latter assumption. The mathematical treatment of solitary waves was first taken up by S. OppolzerMathematische Theorien der Coyrs by O.

From old observations he calculated the orbit of Halley’s comet. Other methods of approximation were given by Rayleigh interale J.

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

Hirn of Colmar, and Helmholtz monocyclic and polycyclic systems. The determination of the period of oscillation of a rotating liquid spheroid has important bearings on the question of the origin of the moon. Thomson of Cambridge born in his classical treatise on the Motion of Vortex Ringsto which the Adams Prize was awarded integrald