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Siméon Denis Poisson

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4905: 4937:, which he did January 1831. In early July, Poisson declared Galois' work "incomprehensible," but encouraged Galois to "publish the whole of his work in order to form a definitive opinion." While Poisson's report was made before Galois' 14 July arrest, it took until October to reach Galois in prison. It is unsurprising, in the light of his character and situation at the time, that Galois vehemently decided against publishing his papers through the academy and instead publish them privately through his friend Auguste Chevalier. Yet Galois did not ignore Poisson's advice. He began collecting all his mathematical manuscripts while still in prison, and continued polishing his ideas until his release on 29 April 1832, after which he was somehow persuaded to participate in what proved to be a fatal duel. 4977: 1966: 472: 4280: 4963: 588: 1112: 3920: 4889: 42: 1979: 4877: 5116: 5819: 4275:{\displaystyle {\begin{aligned}{\frac {du}{dt}}&={\frac {\partial u}{\partial q_{i}}}{\dot {q}}_{i}+{\frac {\partial u}{\partial p_{i}}}{\dot {p}}_{i}+{\frac {\partial u}{\partial t}}\\&={\frac {\partial u}{\partial q_{i}}}{\frac {\partial H}{\partial p_{i}}}-{\frac {\partial u}{\partial p_{i}}}{\frac {\partial H}{\partial q_{i}}}+{\frac {\partial u}{\partial t}}\\&=+{\frac {\partial u}{\partial t}},\end{aligned}}} 1103:
question in the study of electricity was whether or not electricity was a fluid or fluids distinct from matter, or something that simply acts on matter like gravity. Coulomb, Ampère, and Poisson thought that electricity was a fluid distinct from matter. In his experimental research, starting with electrolysis, Michael Faraday sought to show this was not the case. Electricity, Faraday believed, was a part of matter.
5807: 551:, which had already been settled by Lagrange to the first degree of approximation for the disturbing forces. Poisson showed that the result could be extended to a second approximation, and thus made an important advance in planetary theory. The memoir is remarkable inasmuch as it roused Lagrange, after an interval of inactivity, to compose in his old age one of the greatest of his memoirs, entitled 4949: 3002: 3805: 2717: 1102:
were quickly deduced. The science of electromagnetism was born. Poisson was also investigating the phenomenon of magnetism at this time, though he insisted on treating electricity and magnetism as separate phenomena. He published two memoirs on magnetism in 1826. By the 1830s, a major research
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A list of Poisson's works, drawn up by himself, is given at the end of Arago's biography. All that is possible is a brief mention of the more important ones. It was in the application of mathematics to physics that his greatest services to science were performed. Perhaps the most original, and
4617:, depending on the context of the problem. It took some time for his ideas to be accepted as his use of mathematics was less than rigorous. Although initially skeptical, Poisson adopted Fourier's method. From around 1815 he studied various problems in heat conduction. He published his 325:
in Paris as first in his year, and immediately began to attract the notice of the professors of the school, who left him free to make his own decisions as to what he would study. In his final year of study, less than two years after his entry, he published two memoirs, one on
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of light, where the particle-theory of light predicts complete darkness. Poisson argued this was absurd and Fresnel's model was wrong. (Such a spot is not easily observed in everyday situations, because most everyday sources of light are not good point sources.)
2299: 373:) there, a position which he had occupied as an amateur while still a pupil in the school; for his schoolmates had made a custom of visiting him in his room after an unusually difficult lecture to hear him repeat and explain it. He was made deputy professor ( 3479: 2814: 3243: 4530:. Soon he realized that the key idea in Heisenberg's paper was the anti-commutativity of dynamical variables and remembered that the analogous mathematical construction in classical mechanics was Poisson brackets. He found the treatment he needed in 1036:
introduced the concept of a potential function that can be used to compute the gravitational force of an extended body. In 1812, Poisson adopted this idea and obtained the appropriate expression for electricity, which relates the potential function
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at the École Polytechnique. Notwithstanding his many official duties, he found time to publish more than three hundred works, several of them extensive treatises, and many of them memoirs dealing with the most abstruse branches of pure mathematics,
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Poisson studied Fresnel's theory in detail and looked for a way to prove it wrong. Poisson thought that he had found a flaw when he demonstrated that Fresnel's theory predicts an on-axis bright spot in the shadow of a circular obstacle blocking a
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of heat, to which younger scientists such as Poisson were less committed. A success for Laplace was his correction of Newton's formula for the speed of sound in air that gives satisfactory answers when compared with experiments. The
3661: 2493: 5200:(1786–1853) attributed to Poisson the quote: "La vie n'est bonne qu'à deux choses: à faire des mathématiques et à les professer." (Life is good for only two things: to do mathematics and to teach it.) See: J.-A. Barral, ed., 293:
who worked on statistics, complex analysis, partial differential equations, the calculus of variations, analytical mechanics, electricity and magnetism, thermodynamics, elasticity, and fluid mechanics. Moreover, he predicted the
2524: 914: 1159:, performed the experiment. He molded a 2 mm metallic disk to a glass plate with wax. To everyone's surprise he observed the predicted bright spot, which vindicated the wave model. Fresnel won the competition. 4834:
Besides his many memoirs, Poisson published a number of treatises, most of which were intended to form part of a great work on mathematical physics, which he did not live to complete. Among these may be mentioned:
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In his work on heat conduction, Joseph Fourier maintained that the arbitrary function may be represented as an infinite trigonometric series and made explicit the possibility of expanding functions in terms of
3925: 2131: 555:. So highly did he think of Poisson's memoir that he made a copy of it with his own hand, which was found among his papers after his death. Poisson made important contributions to the theory of attraction. 1320: 3254: 4510: 1094:
demonstrated that it was possible to deflect a magnetic needle by closing or opening an electric circuit nearby, resulting in a deluge of published papers attempting to explain the phenomenon.
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in 1815, graduation examiner at the École Polytechnique in 1816, councillor of the university in 1820, and geometer to the Bureau des Longitudes succeeding Pierre-Simon Laplace in 1827.
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near Paris, was occupied by the composition and publication of his many works and in fulfilling the duties of the numerous educational positions to which he was successively appointed.
3376: 2210: 2182: 4689:. In 1823 Poisson redid his teacher's work and reached the same results without resorting to complex hypotheses previously employed by Laplace. In addition, by using the gas laws of 2997:{\displaystyle {\frac {d}{dt}}\left({\frac {\partial T}{\partial {\dot {q}}_{i}}}\right)-{\frac {\partial T}{\partial q_{i}}}+{\frac {\partial V}{\partial q_{i}}}=0,~~~~i=1,2,...,n.} 460:, where he was openly and effusively received by the citizen king, who "remembered" him. After this, of course, his degradation was impossible, and seven years later he was made a 796: 3153: 699: 1344: 416:
In 1817, he married Nancy de Bardi and with her, he had four children. His father, whose early experiences had led him to hate aristocrats, bred him in the stern creed of the
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equation and this was so impressive that he was allowed to graduate in 1800 without taking the final examination. The latter of the memoirs was examined by
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Recherches sur le Mouvement des Projectiles dans l'Air, en ayant égard a leur figure et leur rotation, et a l'influence du mouvement diurne de la terre
4990: 354:, whose lectures on the theory of functions he attended at the École Polytechnique, recognized his talent early on, and became his friend. Meanwhile, 4536: 4888: 4592:
were the main contributors to the theory of elasticity in the nineteenth century. The calculus of variations was frequently used to solve problems.
5788: 831: 428:, and the following restoration, Poisson was not interested in politics, concentrating instead on mathematics. He was appointed to the dignity of 5875: 2010: 479:
As a teacher of mathematics Poisson is said to have been extraordinarily successful, as might have been expected from his early promise as a
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In 1829, Poisson published a paper on elastic bodies that contained a statement and proof of a special case of what became known as the
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During the early 1800s, Pierre-Simon de Laplace developed a sophisticated, if speculative, description of gases based on the old
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Sur la théorie des variations des éléments des planètes, et en particulier des variations des grands axes de leurs orbites
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an unprecedented honor for a youth of eighteen. This success at once procured entry for Poisson into scientific circles.
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had returned to mathematics after his expulsion from the École Normale, Poisson asked him to submit his work on the
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Moreover, Poisson's theorem states the Poisson bracket of any two constants of motion is also a constant of motion.
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After that, the corpuscular theory of light was dead, but was revived in the twentieth century in a different form,
547:(1827), etc. In the first of these memoirs, Poisson discusses the famous question of the stability of the planetary 17: 4976: 3474:{\displaystyle p_{i}={\frac {\partial L}{\partial {\dot {q}}_{i}}}={\frac {\partial T}{\partial {\dot {q}}_{i}}}.} 1965: 558:
As a tribute to Poisson's scientific work, which stretched to more than 300 publications, he was awarded a French
453: 358:, in whose footsteps Poisson followed, regarded him almost as his son. The rest of his career, until his death in 6297: 3010: 2294:{\displaystyle {\frac {\partial f}{\partial y}}-{\frac {d}{dx}}\left({\frac {\partial f}{\partial y'}}\right)=0.} 1339: 592: 2728:(2 vols. 8vo, 1811 and 1833) was written in the style of Laplace and Lagrange and was long a standard work. Let 4581: 1594: 1334: 1199: 252: 1127:
and were skeptical of its alternative, the wave theory. In 1818, the Académie set the topic of their prize as
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In 1820 Poisson studied integrations along paths in the complex plane, becoming the first person to do so.
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in 1839. Poisson's equation is applicable in not just gravitation, but also electricity and magnetism.
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is valid only outside of a solid. A rigorous proof for masses with variable density was first given by
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As the eighteenth century came to a close, human understanding of electrostatics approached maturity.
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attributed to him the quote, "Life is good for only two things: doing mathematics and teaching it.")
6322: 4560: 4369: 4308: 1637: 1124: 799: 147: 3114: 397:; and when the Faculté des sciences de Paris was instituted in 1809 he was appointed a professor of 6092: 5845: 3564: 1913: 1757: 591:
Poisson's equations for electricity (top) and magnetism (bottom) in SI units on the front cover of
449: 6024: 5715: 5042:"The "Ecole Polytechnique", 1794-1850: Differences over Educational Purpose and Teaching Practice" 1095: 1091: 730: 5960: 5835: 4694: 1863: 1627: 1084:
An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism
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in 1825, but he neither took out the diploma nor used the title. In March 1818, he was elected a
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is the Hamiltonian. In terms of Poisson brackets, then, Hamilton's equations can be written as
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One or more of the preceding sentences incorporates text from a publication now in the
405:). He went on to become a member of the Institute in 1812, examiner at the military school ( 6292: 6287: 6264: 6160: 5944: 5684: 4665: 4638: 4614: 3062: 1938: 1898: 1806: 1802: 1794: 1784: 1574: 1567: 1323: 1234: 1166:. Arago later noted that the diffraction bright spot (which later became known as both the 1060: 1005: 805: 707: 489: 355: 224: 159: 127: 5449:
Kline, Morris (1972). "Chapter 30: The Calculus of Variations in the Nineteenth Century".
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Founded mainly by Leonhard Euler and Joseph-Louis Lagrange in the eighteenth century, the
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threatened him with the loss of all his honours; but this disgrace to the government of
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Recherches sur la probabilité des jugements en matières criminelles et matière civile
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Immediately after finishing his studies at the École Polytechnique, he was appointed
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arrived at the basic equations of motion for viscous fluids, now identified as the
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certainly the most permanent in their influence, were his memoirs on the theory of
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Lewis, Christopher (2007). "Chapter 2: The Rise and Fall of the Caloric Theory".
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Poisson also published a memoir on the theory of waves (Mém. ft. l'acad., 1825).
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Math and mathematicians : the history of math discoveries around the world
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district in France, the son of Siméon Poisson, an officer in the French army.
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submitted a thesis explaining diffraction derived from analysis of both the
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1833), and memoirs on the probability of the mean results of observations (
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Sur la variation des constantes arbitraires dans les questions de mécanique
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Next (or in the opinion of some, first) in importance stand the memoirs on
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Kline, Morris (1972). "28.4: The Potential Equation and Green's Theorem".
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Kline, Morris (1972). "28.7: Systems of Partial Differential Equations".
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Kline, Morris (1972). "27.4: The Foundation of Complex Function Theory".
1128: 501: 186: 5140:. Vol. 21 (11th ed.). Cambridge University Press. p. 896. 5073: 5041: 5732: 5422: 5398: 4519: 1708: 1382: 1167: 390: 311: 295: 151: 62: 5685:"Les relations d'Évariste Galois avec les mathématiciens de son temps" 2023: 6192: 6052: 5637:. United States of America: Oxford University Press. pp. 678–9. 5612:. United States of America: Oxford University Press. pp. 696–7. 5222:. United States of America: Oxford University Press. pp. 682–4. 5152:"Poisson, Simeon Denis: certificate of election to the Royal Society" 5057: 1730: 702: 505: 290: 5633:
Kline, Morris (1972). "28.2: The Heat Equation and Fourier Series".
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The Strangest Man: the Hidden Life of Paul Dirac, Mystic of the Atom
3549:{\displaystyle {\dot {p}}_{i}={\frac {\partial L}{\partial q_{i}}}.} 4547: 3367: 1649: 1532: 1507: 386: 382: 331: 4868:
Mémoires de l'Académie Royale des Sciences de l'Institut de France
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Photo of the Arago spot in a shadow of a 5.8 mm circular obstacle.
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goes to 0 fast enough, the solution of Poisson's equation is the
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Baigrie, Brian (2007). "Chapter 7: The Current and the Needle".
989:(1813). Poisson's two most important memoirs on the subject are 517:
Sur les inégalités séculaires des moyens mouvements des planètes
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A catalog of all of Poisson's papers and works can be found in
1681: 1527: 1437: 1190:, Poisson's most important works were his series of memoirs on 464:, not for political reasons, but as a representative of French 315: 71: 1020:
had already established the notion of electric charge and the
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Baigrie, Brian (2007). "Chapter 5: From Effluvia to Fluids".
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solutions to the Navier–Stokes equations exist and are smooth
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Mémoire sur l'équilibre et le mouvement des corps élastiques
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makes use of the specific heats of gases at constant volume
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re-derived them in 1845 using continuum mechanics. Poisson,
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saw further development and applications in the nineteenth.
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Sur le mouvement de la terre autour de son centre de gravité
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is extremized if it satisfies the Euler–Lagrange equations
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of the École Polytechnique from 1813 to 1823, and in the
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Evidently, the operation anti-commutes. More precisely,
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Here, the dot notation for the time derivative is used,
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Poisson was a member of the academic "old guard" at the
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Baigrie, Brian (2007). "Chapter 8: Forces and Fields".
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Mémoire sur le calcul numerique des integrales définies
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Revue d'Histoire des Sciences et de Leurs Applications
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Kot, Mark (2014). "Chapter 4: Basic Generalizations".
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Recherches sur le Mouvement des Projectiles dans l'Air
5204:, vol. II (Paris, France: Gide et J. Baudry, 1854), 4785: 4765: 4745: 4707: 4697:, Poisson obtained the equation for gases undergoing 4668: 4641: 4543: 4460: 4433: 4372: 4311: 4291: 3923: 3873: 3816: 3664: 3637: 3617: 3597: 3577: 3493: 3379: 3257: 3156: 3117: 3097: 3065: 3013: 2817: 2794: 2774: 2754: 2734: 2527: 2504: 2362: 2330: 2310: 2213: 2190: 2142: 2044: 1279: 1063: 1043: 968: 945: 925: 834: 808: 778: 733: 710: 671: 612: 346:, who recommended that it should be published in the 330:'s method of elimination, the other on the number of 6348:
Members of the Chamber of Peers of the July Monarchy
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Fellows of the American Academy of Arts and Sciences
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Académie royale des sciences de l'Institut de France
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Annales Scientifiques de l'École Normale Supérieure
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Electricity and Magnetism: A Historical Perspective
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Electricity and Magnetism: A Historical Perspective
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Electricity and Magnetism: A Historical Perspective
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Analytical mechanics and the calculus of variations
1170:and the Poisson spot) had already been observed by 5748: 4818: 4771: 4751: 4731: 4681: 4654: 4505:{\displaystyle ={\frac {\partial u}{\partial t}}.} 4504: 4439: 4419: 4358: 4297: 4274: 3906: 3855: 3799: 3643: 3623: 3611:be functions of the canonical variables of motion 3603: 3583: 3548: 3473: 3355: 3237: 3139: 3103: 3083: 3051: 2996: 2800: 2780: 2760: 2740: 2711: 2510: 2487: 2345: 2316: 2293: 2196: 2176: 2125: 1314: 1206:on the same subject; these are to be found in the 1181: 1069: 1049: 974: 954: 931: 908: 814: 790: 760: 716: 693: 647: 377:) in 1802, and, in 1806 full professor succeeding 5890: 5829: 5660:Heat and Thermodynamics: A Historical Perspective 5635:Mathematical Thought from Ancient to Modern Times 5610:Mathematical Thought from Ancient to Modern Times 5451:Mathematical Thought from Ancient to Modern Times 5374:Mathematical Thought from Ancient to Modern Times 5328: 5220:Mathematical Thought from Ancient to Modern Times 4537:Analytical Dynamics of Particles and Rigid Bodies 6343:Members of the Royal Swedish Academy of Sciences 6279: 5509:(1980). "Chapter 9: Canonical Transformations". 5039: 4991:List of things named after Siméon Denis Poisson 4572:In 1821, using an analogy with elastic bodies, 2788:the potential energy, both independent of time 648:{\displaystyle \nabla ^{2}\phi =-4\pi \rho ,\;} 5563:"Whittaker's analytical dynamics: a biography" 5540:. Great Britain: Basic Books. pp. 83–88. 4819:{\displaystyle \gamma ={\frac {c_{P}}{c_{V}}}} 4732:{\displaystyle PV^{\gamma }={\text{constant}}} 1077:. Poisson's work on potential theory inspired 985:Poisson's equation was first published in the 298:in his attempt to disprove the wave theory of 27:French mathematician and physicist (1781–1840) 5876: 5662:. United States of America: Greenwood Press. 2004: 982:. The integration runs over the whole space. 285:; 21 June 1781 – 25 April 1840) was a French 5787:: CS1 maint: multiple names: authors list ( 5476:A First Course in the Calculus of Variations 1011: 5348: 5311: 4858:Oeuvres complétes de François Arago, Vol. 2 4549: 3052:{\displaystyle {\frac {dq}{dt}}={\dot {q}}} 436:, in 1822 a Foreign Honorary Member of the 5883: 5869: 5554: 5344:, Paris: Imprimerie impériale, p. 369 2011: 1997: 905: 644: 40: 6338:Members of the French Academy of Sciences 5731: 5505: 5109: 5107: 5105: 5103: 3484:Thus, from the equation of motion, he got 2475: 2113: 995:Sur l'attraction d'un ellipsoide homogène 895: 5560: 5376:. Oxford University Press. p. 633. 5126: 5101: 5099: 5097: 5095: 5093: 5091: 5089: 5087: 5085: 5083: 2518:must satisfy the Euler–Poisson equation, 1110: 586: 470: 5841:MacTutor History of Mathematics Archive 5535: 5354: 5337: 5317: 5292: 5267: 5242: 5202:Oeuvres complétes de François Arago ... 5179:. American Academy of Arts and Sciences 5174:"Book of Members, 1780–2010: Chapter P" 4841:Nouvelle théorie de l'action capillaire 2324:depends on higher-order derivatives of 939:is a distance between a volume element 14: 6280: 4526:on the new branch of physics known as 4522:received proofs of a seminal paper by 3559:Poisson's text influenced the work of 3366:He introduced an explicit formula for 567:72 names inscribed on the Eiffel Tower 440:, and in 1823 a foreign member of the 5864: 5713: 5707: 5682: 5657: 5632: 5607: 5567:Archive for History of Exact Sciences 5501: 5499: 5497: 5495: 5448: 5444: 5442: 5440: 5438: 5436: 5434: 5432: 5371: 5217: 5080: 3571:was published in London in 1842. Let 2808:. Lagrange's equation of motion reads 1693:Newton's law of universal gravitation 582: 438:American Academy of Arts and Sciences 280: 5396: 4852:(4to, 1837), all published at Paris. 1123:, who were staunch believers in the 1030:inverse-square law of electrostatics 791:{\displaystyle r\rightarrow \infty } 5473: 5390: 5361:, Imprimerie impériale, p. 111 5286: 5261: 5166: 4595: 4567:(more unsolved problems in physics) 2177:{\displaystyle y'={\frac {dy}{dx}}} 1674:Mechanics of planar particle motion 1282: 987:Bulletin de la société philomatique 577: 527:of the École Polytechnique (1809); 165:Conway–Maxwell–Poisson distribution 24: 6373:People associated with electricity 6303:19th-century French mathematicians 5746: 5740: 5651: 5492: 5429: 5236: 5016:"Siméon-Denis Poisson - Biography" 4620:Théorie mathématique de la chaleur 4544:Continuum mechanics and fluid flow 4490: 4482: 4256: 4248: 4208: 4200: 4178: 4170: 4151: 4143: 4121: 4113: 4094: 4086: 4064: 4056: 4015: 4007: 3966: 3958: 3778: 3770: 3751: 3743: 3721: 3713: 3694: 3686: 3527: 3519: 3443: 3435: 3404: 3396: 3331: 3323: 3288: 3280: 3207: 3199: 3168: 3160: 2921: 2913: 2891: 2883: 2848: 2840: 2677: 2669: 2581: 2573: 2539: 2531: 2267: 2259: 2225: 2217: 785: 694:{\displaystyle \nabla ^{2}\phi =0} 673: 658:is a well-known generalization of 614: 403:professeur de mécanique rationelle 25: 6384: 6363:Burials at Père Lachaise Cemetery 5799: 5478:. American Mathematical Society. 5046:The American Mathematical Monthly 4870:, 1829), digitized copy from the 4603: 993:(Connaiss. ft. temps, 1829), and 442:Royal Swedish Academy of Sciences 5817: 5805: 5114: 4975: 4961: 4947: 4919:Interaction with Évariste Galois 4903: 4887: 4872:Bibliothèque nationale de France 1978: 1977: 1964: 1297: 572: 6368:Recipients of the Lalande Prize 5676: 5626: 5601: 5529: 5467: 5365: 5040:Grattan-Guinness, Ivor (2005). 4420:{\displaystyle {\dot {p}}_{i}=} 4359:{\displaystyle {\dot {q}}_{i}=} 3867:, the total time derivative of 1182:Pure mathematics and statistics 1057:to the electric charge density 991:Sur l'attraction des sphéroides 475:Poisson in 1804 by E. Marcellot 6358:Recipients of the Copley Medal 6185:Jacques Charles François Sturm 5561:Coutinho, S. C. (1 May 2014). 5415:10.1080/0025570X.1979.11976770 5399:"A History of Stokes' Theorem" 5211: 5191: 5144: 5033: 5008: 4829: 4473: 4461: 4414: 4395: 4353: 4334: 4239: 4227: 3901: 3883: 3865:Hamilton's equations of motion 3850: 3838: 3829: 3817: 3677: 3665: 3140:{\displaystyle {\dot {q}}_{i}} 2691: 2685: 2624: 2614: 2467: 2461: 2456: 2450: 2427: 2421: 2407: 2401: 2340: 2334: 2110: 2107: 2101: 2087: 2081: 2069: 1221:Poisson wrote an essay on the 1200:Peter Gustav Lejeune Dirichlet 1141:Young's double slit experiment 886: 868: 782: 755: 737: 348:Recueil des savants étrangers, 282:[si.me.ɔ̃də.nipwa.sɔ̃] 253:Peter Gustav Lejeune Dirichlet 170:Euler–Poisson–Darboux equation 13: 1: 6121:Giovanni Antonio Amedeo Plana 5856:Mathematics Genealogy Project 5324:, Paris: Imprimerie impériale 5001: 3567:. A translation of Poisson's 1600:Koopman–von Neumann mechanics 1157:Dominique-François-Jean Arago 664:partial differential equation 599:In the theory of potentials, 454:François Jean Dominique Arago 208:Faculté des sciences de Paris 6353:French probability theorists 6328:French mathematical analysts 6318:Fellows of the Royal Society 5747:C., Bruno, Leonard (2003) . 4759:is the pressure of the gas, 1668:Non-inertial reference frame 1254: 761:{\displaystyle \rho (x,y,z)} 492:, and rational mechanics. ( 379:Jean Baptiste Joseph Fourier 305: 7: 5453:. Oxford University Press. 4940: 4550:Unsolved problem in physics 1595:Appell's equation of motion 1465:Inertial frame of reference 1155:The head of the committee, 1026:Charles-Augustin de Coulomb 529:Sur la libration de la lune 434:Fellow of the Royal Society 249:Nicolas Léonard Sadi Carnot 245:Other notable students 10: 6389: 6308:École Polytechnique alumni 5716:"La vie d'Évariste Galois" 4922: 3907:{\displaystyle u=u(q,p,t)} 1214:for 1823. He also studied 997:(Mim. ft. l'acad., 1835). 798:(or if a point 'moves' to 340:Sylvestre-François Lacroix 5899: 5579:10.1007/s00407-013-0133-1 5397:Katz, Victor (May 1979). 4929:After political activist 4662:and at constant pressure 4555:Under what conditions do 1137:Huygens–Fresnel principle 1106: 1012:Electricity and magnetism 593:an undergraduate textbook 258: 244: 230: 216: 196: 182: 175: 148:Poisson summation formula 111: 101: 79: 48: 39: 32: 6333:French fluid dynamicists 5846:University of St Andrews 5536:Farmelo, Graham (2009). 4996:Hamilton−Jacobi equation 4561:Millennium Prize Problem 3565:Carl Gustav Jacob Jacobi 1758:Rotating reference frame 1590:Hamilton–Jacobi equation 1125:particle theory of light 1000:Poisson discovered that 523:, both published in the 452:was adroitly averted by 321:In 1798, he entered the 6149:Antoine César Becquerel 5977:Benjamin Collins Brodie 5137:Encyclopædia Britannica 4695:Joseph Louis Gay-Lussac 4578:Navier–Stokes equations 2768:be the kinetic energy, 1699:Newton's laws of motion 1559:Newton's laws of motion 446:revolution of July 1830 6298:People from Pithiviers 5913:William Hyde Wollaston 5836:"Siméon Denis Poisson" 5822:Quotations related to 5355:Maraldi, G.F. (1723), 5338:Fresnel, A.J. (1868), 5318:Fresnel, A.J. (1868), 4820: 4773: 4753: 4733: 4683: 4656: 4633:Newton–Laplace formula 4513: 4506: 4451:, then it must satisfy 4441: 4421: 4360: 4299: 4283: 4276: 3908: 3857: 3808: 3801: 3645: 3625: 3605: 3585: 3561:William Rowan Hamilton 3557: 3550: 3482: 3475: 3364: 3357: 3246: 3239: 3141: 3105: 3085: 3053: 3005: 2998: 2802: 2782: 2762: 2742: 2720: 2713: 2512: 2496: 2489: 2383: 2347: 2318: 2302: 2295: 2198: 2178: 2134: 2127: 2065: 2030:calculus of variations 1726:Simple harmonic motion 1639:Euler's laws of motion 1433:D'Alembert's principle 1316: 1223:calculus of variations 1194:and his discussion of 1172:Joseph-Nicolas Delisle 1116: 1071: 1051: 1022:conservation of charge 976: 956: 933: 910: 816: 792: 762: 718: 695: 649: 596: 545:Mémoires de l'Académie 534:Connaissance des temps 476: 91:Sceaux, Hauts-de-Seine 6153:John Frederic Daniell 6025:Hans Christian Ørsted 5985:William Thomas Brande 5701:10.3406/rhs.1947.2607 5132:Poisson, Siméon Denis 4821: 4774: 4754: 4734: 4684: 4682:{\displaystyle c_{P}} 4657: 4655:{\displaystyle c_{V}} 4586:Augustin-Louis Cauchy 4582:George Gabriel Stokes 4507: 4453: 4442: 4422: 4361: 4300: 4277: 3916: 3909: 3858: 3802: 3657: 3646: 3626: 3606: 3586: 3569:Treatise on Mechanics 3551: 3486: 3476: 3372: 3358: 3250: 3240: 3149: 3142: 3106: 3086: 3084:{\displaystyle L=T-V} 3054: 2999: 2810: 2803: 2783: 2763: 2743: 2714: 2520: 2513: 2490: 2369: 2355: 2348: 2319: 2296: 2206: 2199: 2179: 2128: 2051: 2037: 1580:Hamiltonian mechanics 1398:Statistical mechanics 1317: 1212:Memoirs de l'Académie 1164:wave-particle duality 1133:Augustin-Jean Fresnel 1114: 1092:Hans Christian Ørsted 1072: 1070:{\displaystyle \rho } 1052: 1034:Joseph-Louis Lagrange 977: 957: 934: 911: 817: 815:{\displaystyle \phi } 793: 763: 719: 717:{\displaystyle \phi } 696: 650: 590: 474: 395:Bureau des Longitudes 352:Joseph Louis Lagrange 344:Adrien-Marie Legendre 300:Augustin-Jean Fresnel 221:Joseph-Louis Lagrange 205:Bureau des Longitudes 132:Poisson limit theorem 6265:Peter Andreas Hansen 6161:Carl Friedrich Gauss 6137:Jöns Jacob Berzelius 6113:Siméon Denis Poisson 5945:Thomas Andrew Knight 5852:Siméon Denis Poisson 5832:Robertson, Edmund F. 5824:Siméon Denis Poisson 5814:at Wikimedia Commons 5812:Siméon Denis Poisson 5714:Dupuy, Paul (1896). 5403:Mathematics Magazine 4783: 4763: 4743: 4705: 4666: 4639: 4615:Legendre polynomials 4458: 4431: 4370: 4309: 4289: 3921: 3871: 3814: 3662: 3635: 3615: 3595: 3575: 3491: 3377: 3255: 3154: 3115: 3095: 3091:. He argued that if 3063: 3011: 2815: 2792: 2772: 2752: 2732: 2525: 2502: 2360: 2346:{\displaystyle y(x)} 2328: 2308: 2211: 2188: 2140: 2042: 1803:Angular acceleration 1795:Rotational frequency 1575:Lagrangian mechanics 1568:Analytical mechanics 1324:Second law of motion 1277: 1241:is named after him. 1235:Poisson distribution 1061: 1041: 1006:Carl Friedrich Gauss 966: 943: 923: 832: 806: 776: 731: 708: 669: 662:of the second order 610: 490:mathematical physics 389:. In 1808 he became 375:professeur suppléant 356:Pierre-Simon Laplace 310:Poisson was born in 268:Siméon Denis Poisson 225:Pierre-Simon Laplace 128:Poisson distribution 6209:Jean-Baptiste Dumas 6129:William Snow Harris 6101:George Biddell Airy 5830:O'Connor, John J.; 5512:Classical Mechanics 5341:OEuvres Completes 1 5321:OEuvres Completes 1 5154:. The Royal Society 4935:theory of equations 4574:Claude-Louis Navier 4518:In September 1925, 2725:Traité de mécanique 1655:Harmonic oscillator 1633:Equations of motion 1268:Classical mechanics 1262:Part of a series on 1233:1827, &c). The 1231:Connaiss. d. temps, 1178:a century earlier. 1028:had enunciated his 824:Newtonian potential 770:continuous function 513:celestial mechanics 486:applied mathematics 323:École Polytechnique 201:École Polytechnique 106:École Polytechnique 6257:Roderick Murchison 5733:10.24033/asens.427 5683:Taton, R. (1947). 5507:Goldstein, Herbert 4969:Mathematics portal 4816: 4769: 4749: 4729: 4679: 4652: 4502: 4449:constant of motion 4437: 4417: 4356: 4295: 4272: 4270: 3904: 3856:{\displaystyle =-} 3853: 3797: 3641: 3621: 3601: 3581: 3546: 3471: 3353: 3235: 3137: 3111:is independent of 3101: 3081: 3049: 2994: 2798: 2778: 2758: 2738: 2709: 2508: 2485: 2343: 2314: 2291: 2194: 2174: 2123: 1971:Physics portal 1585:Routhian mechanics 1460:Frame of reference 1312: 1249:divergence theorem 1239:probability theory 1192:definite integrals 1176:Giacomo F. Maraldi 1117: 1067: 1047: 1002:Laplace's equation 972: 955:{\displaystyle dV} 952: 929: 906: 812: 788: 758: 714: 691: 660:Laplace's equation 645: 601:Poisson's equation 597: 583:Poisson's equation 565:His is one of the 537:(1821), etc.; and 477: 399:rational mechanics 371:teaching assistant 211:École de Saint-Cyr 144:Poisson regression 6275: 6274: 6233:Urbain Le Verrier 6181:Justus von Liebig 5892:Copley Medallists 5810:Media related to 5669:978-0-313-33332-3 5547:978-0-465-02210-6 5485:978-1-4704-1495-5 5304:978-0-313-33358-3 5279:978-0-313-33358-3 5254:978-0-313-33358-3 4814: 4772:{\displaystyle V} 4752:{\displaystyle P} 4727: 4699:adiabatic changes 4528:quantum mechanics 4524:Werner Heisenberg 4497: 4440:{\displaystyle u} 4383: 4322: 4298:{\displaystyle H} 4263: 4215: 4192: 4165: 4135: 4108: 4071: 4041: 4029: 3992: 3980: 3946: 3792: 3765: 3735: 3708: 3644:{\displaystyle p} 3624:{\displaystyle q} 3604:{\displaystyle v} 3584:{\displaystyle u} 3541: 3504: 3466: 3456: 3427: 3417: 3345: 3311: 3301: 3271: 3230: 3220: 3191: 3181: 3128: 3104:{\displaystyle V} 3046: 3032: 2957: 2954: 2951: 2948: 2935: 2905: 2871: 2861: 2831: 2801:{\displaystyle t} 2781:{\displaystyle V} 2761:{\displaystyle T} 2748:be the position, 2741:{\displaystyle q} 2697: 2660: 2593: 2564: 2546: 2511:{\displaystyle y} 2317:{\displaystyle S} 2279: 2250: 2232: 2197:{\displaystyle S} 2172: 2021: 2020: 1768:Centrifugal force 1763:Centripetal force 1719:Euler's equations 1704:Relative velocity 1480:Moment of inertia 1310: 1284: 1216:Fourier integrals 1050:{\displaystyle V} 1018:Benjamin Franklin 975:{\displaystyle P} 932:{\displaystyle r} 893: 857: 420:. Throughout the 336:finite difference 262: 261: 231:Doctoral students 217:Academic advisors 177:Scientific career 95:Kingdom of France 67:Kingdom of France 16:(Redirected from 6380: 6323:French agnostics 6268: 6260: 6252: 6249:John Couch Adams 6244: 6236: 6228: 6220: 6212: 6204: 6201:James MacCullagh 6196: 6188: 6176: 6168: 6156: 6144: 6132: 6124: 6116: 6104: 6096: 6084: 6076: 6064: 6056: 6048: 6045:William Buckland 6040: 6028: 6020: 6012: 6004: 5996: 5988: 5980: 5972: 5969:Edward Troughton 5964: 5956: 5948: 5940: 5932: 5929:Smithson Tennant 5924: 5921:Richard Chenevix 5916: 5908: 5885: 5878: 5871: 5862: 5861: 5848: 5821: 5809: 5793: 5792: 5786: 5778: 5754: 5744: 5738: 5737: 5735: 5711: 5705: 5704: 5680: 5674: 5673: 5655: 5649: 5648: 5630: 5624: 5623: 5605: 5599: 5598: 5558: 5552: 5551: 5533: 5527: 5526: 5503: 5490: 5489: 5471: 5465: 5464: 5446: 5427: 5426: 5394: 5388: 5387: 5369: 5363: 5362: 5352: 5346: 5345: 5335: 5326: 5325: 5315: 5309: 5308: 5290: 5284: 5283: 5265: 5259: 5258: 5240: 5234: 5233: 5215: 5209: 5195: 5189: 5188: 5186: 5184: 5178: 5170: 5164: 5163: 5161: 5159: 5148: 5142: 5141: 5120: 5118: 5117: 5111: 5078: 5077: 5058:10.2307/30037440 5037: 5031: 5030: 5028: 5026: 5012: 4985: 4980: 4979: 4971: 4966: 4965: 4957: 4955:Biography portal 4952: 4951: 4950: 4907: 4891: 4825: 4823: 4822: 4817: 4815: 4813: 4812: 4803: 4802: 4793: 4779:its volume, and 4778: 4776: 4775: 4770: 4758: 4756: 4755: 4750: 4738: 4736: 4735: 4730: 4728: 4725: 4720: 4719: 4688: 4686: 4685: 4680: 4678: 4677: 4661: 4659: 4658: 4653: 4651: 4650: 4611:Bessel functions 4596:Wave propagation 4551: 4511: 4509: 4508: 4503: 4498: 4496: 4488: 4480: 4446: 4444: 4443: 4438: 4426: 4424: 4423: 4418: 4407: 4406: 4391: 4390: 4385: 4384: 4376: 4365: 4363: 4362: 4357: 4346: 4345: 4330: 4329: 4324: 4323: 4315: 4304: 4302: 4301: 4296: 4281: 4279: 4278: 4273: 4271: 4264: 4262: 4254: 4246: 4220: 4216: 4214: 4206: 4198: 4193: 4191: 4190: 4189: 4176: 4168: 4166: 4164: 4163: 4162: 4149: 4141: 4136: 4134: 4133: 4132: 4119: 4111: 4109: 4107: 4106: 4105: 4092: 4084: 4076: 4072: 4070: 4062: 4054: 4049: 4048: 4043: 4042: 4034: 4030: 4028: 4027: 4026: 4013: 4005: 4000: 3999: 3994: 3993: 3985: 3981: 3979: 3978: 3977: 3964: 3956: 3947: 3945: 3937: 3929: 3913: 3911: 3910: 3905: 3862: 3860: 3859: 3854: 3806: 3804: 3803: 3798: 3793: 3791: 3790: 3789: 3776: 3768: 3766: 3764: 3763: 3762: 3749: 3741: 3736: 3734: 3733: 3732: 3719: 3711: 3709: 3707: 3706: 3705: 3692: 3684: 3650: 3648: 3647: 3642: 3630: 3628: 3627: 3622: 3610: 3608: 3607: 3602: 3590: 3588: 3587: 3582: 3555: 3553: 3552: 3547: 3542: 3540: 3539: 3538: 3525: 3517: 3512: 3511: 3506: 3505: 3497: 3480: 3478: 3477: 3472: 3467: 3465: 3464: 3463: 3458: 3457: 3449: 3441: 3433: 3428: 3426: 3425: 3424: 3419: 3418: 3410: 3402: 3394: 3389: 3388: 3362: 3360: 3359: 3354: 3346: 3344: 3343: 3342: 3329: 3321: 3316: 3312: 3310: 3309: 3308: 3303: 3302: 3294: 3286: 3278: 3272: 3270: 3259: 3244: 3242: 3241: 3236: 3231: 3229: 3228: 3227: 3222: 3221: 3213: 3205: 3197: 3192: 3190: 3189: 3188: 3183: 3182: 3174: 3166: 3158: 3147:, he could write 3146: 3144: 3143: 3138: 3136: 3135: 3130: 3129: 3121: 3110: 3108: 3107: 3102: 3090: 3088: 3087: 3082: 3058: 3056: 3055: 3050: 3048: 3047: 3039: 3033: 3031: 3023: 3015: 3003: 3001: 3000: 2995: 2955: 2952: 2949: 2946: 2936: 2934: 2933: 2932: 2919: 2911: 2906: 2904: 2903: 2902: 2889: 2881: 2876: 2872: 2870: 2869: 2868: 2863: 2862: 2854: 2846: 2838: 2832: 2830: 2819: 2807: 2805: 2804: 2799: 2787: 2785: 2784: 2779: 2767: 2765: 2764: 2759: 2747: 2745: 2744: 2739: 2718: 2716: 2715: 2710: 2702: 2698: 2696: 2695: 2694: 2675: 2667: 2661: 2659: 2658: 2657: 2644: 2643: 2634: 2632: 2631: 2598: 2594: 2592: 2591: 2579: 2571: 2565: 2563: 2552: 2547: 2545: 2537: 2529: 2517: 2515: 2514: 2509: 2494: 2492: 2491: 2486: 2474: 2470: 2460: 2459: 2420: 2382: 2377: 2352: 2350: 2349: 2344: 2323: 2321: 2320: 2315: 2300: 2298: 2297: 2292: 2284: 2280: 2278: 2277: 2265: 2257: 2251: 2249: 2238: 2233: 2231: 2223: 2215: 2203: 2201: 2200: 2195: 2183: 2181: 2180: 2175: 2173: 2171: 2163: 2155: 2150: 2132: 2130: 2129: 2124: 2100: 2064: 2059: 2013: 2006: 1999: 1986: 1981: 1980: 1973: 1969: 1968: 1874:Johann Bernoulli 1869:Daniel Bernoulli 1790:Tangential speed 1694: 1670: 1645:Fictitious force 1640: 1492:Mechanical power 1482: 1423:Angular momentum 1321: 1319: 1318: 1313: 1311: 1309: 1301: 1300: 1291: 1286: 1285: 1259: 1258: 1227:Mem. de l'acad., 1204:Bernhard Riemann 1188:pure mathematics 1076: 1074: 1073: 1068: 1056: 1054: 1053: 1048: 981: 979: 978: 973: 961: 959: 958: 953: 938: 936: 935: 930: 915: 913: 912: 907: 894: 889: 863: 858: 856: 845: 821: 819: 818: 813: 797: 795: 794: 789: 767: 765: 764: 759: 723: 721: 720: 715: 700: 698: 697: 692: 681: 680: 654: 652: 651: 646: 622: 621: 578:Potential theory 284: 279: 239:Joseph Liouville 167: 120:Poisson equation 86: 58: 56: 44: 30: 29: 21: 6388: 6387: 6383: 6382: 6381: 6379: 6378: 6377: 6278: 6277: 6276: 6271: 6263: 6255: 6247: 6239: 6231: 6225:Theodor Schwann 6223: 6217:Carlo Matteucci 6215: 6207: 6199: 6191: 6179: 6171: 6165:Michael Faraday 6159: 6147: 6141:Francis Kiernan 6135: 6127: 6119: 6109:Michael Faraday 6107: 6099: 6087: 6079: 6067: 6059: 6051: 6043: 6031: 6023: 6017:Robert Seppings 6015: 6007: 5999: 5991: 5983: 5975: 5967: 5959: 5951: 5943: 5935: 5927: 5919: 5911: 5903: 5895: 5889: 5802: 5797: 5796: 5780: 5779: 5767: 5745: 5741: 5712: 5708: 5681: 5677: 5670: 5656: 5652: 5645: 5631: 5627: 5620: 5606: 5602: 5559: 5555: 5548: 5534: 5530: 5523: 5504: 5493: 5486: 5472: 5468: 5461: 5447: 5430: 5395: 5391: 5384: 5370: 5366: 5353: 5349: 5336: 5329: 5316: 5312: 5305: 5291: 5287: 5280: 5266: 5262: 5255: 5241: 5237: 5230: 5216: 5212: 5196: 5192: 5182: 5180: 5176: 5172: 5171: 5167: 5157: 5155: 5150: 5149: 5145: 5130:, ed. (1911). " 5115: 5113: 5112: 5081: 5038: 5034: 5024: 5022: 5014: 5013: 5009: 5004: 4981: 4974: 4967: 4960: 4953: 4948: 4946: 4943: 4931:Évariste Galois 4927: 4921: 4914: 4908: 4899: 4892: 4832: 4808: 4804: 4798: 4794: 4792: 4784: 4781: 4780: 4764: 4761: 4760: 4744: 4741: 4740: 4724: 4715: 4711: 4706: 4703: 4702: 4673: 4669: 4667: 4664: 4663: 4646: 4642: 4640: 4637: 4636: 4606: 4598: 4570: 4569: 4564: 4563:in mathematics. 4553: 4546: 4532:E. T. Whittaker 4489: 4481: 4479: 4459: 4456: 4455: 4432: 4429: 4428: 4402: 4398: 4386: 4375: 4374: 4373: 4371: 4368: 4367: 4341: 4337: 4325: 4314: 4313: 4312: 4310: 4307: 4306: 4290: 4287: 4286: 4269: 4268: 4255: 4247: 4245: 4218: 4217: 4207: 4199: 4197: 4185: 4181: 4177: 4169: 4167: 4158: 4154: 4150: 4142: 4140: 4128: 4124: 4120: 4112: 4110: 4101: 4097: 4093: 4085: 4083: 4074: 4073: 4063: 4055: 4053: 4044: 4033: 4032: 4031: 4022: 4018: 4014: 4006: 4004: 3995: 3984: 3983: 3982: 3973: 3969: 3965: 3957: 3955: 3948: 3938: 3930: 3928: 3924: 3922: 3919: 3918: 3872: 3869: 3868: 3815: 3812: 3811: 3785: 3781: 3777: 3769: 3767: 3758: 3754: 3750: 3742: 3740: 3728: 3724: 3720: 3712: 3710: 3701: 3697: 3693: 3685: 3683: 3663: 3660: 3659: 3653:Poisson bracket 3636: 3633: 3632: 3616: 3613: 3612: 3596: 3593: 3592: 3576: 3573: 3572: 3534: 3530: 3526: 3518: 3516: 3507: 3496: 3495: 3494: 3492: 3489: 3488: 3459: 3448: 3447: 3446: 3442: 3434: 3432: 3420: 3409: 3408: 3407: 3403: 3395: 3393: 3384: 3380: 3378: 3375: 3374: 3338: 3334: 3330: 3322: 3320: 3304: 3293: 3292: 3291: 3287: 3279: 3277: 3273: 3263: 3258: 3256: 3253: 3252: 3223: 3212: 3211: 3210: 3206: 3198: 3196: 3184: 3173: 3172: 3171: 3167: 3159: 3157: 3155: 3152: 3151: 3131: 3120: 3119: 3118: 3116: 3113: 3112: 3096: 3093: 3092: 3064: 3061: 3060: 3038: 3037: 3024: 3016: 3014: 3012: 3009: 3008: 2928: 2924: 2920: 2912: 2910: 2898: 2894: 2890: 2882: 2880: 2864: 2853: 2852: 2851: 2847: 2839: 2837: 2833: 2823: 2818: 2816: 2813: 2812: 2793: 2790: 2789: 2773: 2770: 2769: 2753: 2750: 2749: 2733: 2730: 2729: 2684: 2680: 2676: 2668: 2666: 2662: 2653: 2649: 2645: 2639: 2635: 2633: 2627: 2623: 2584: 2580: 2572: 2570: 2566: 2556: 2551: 2538: 2530: 2528: 2526: 2523: 2522: 2503: 2500: 2499: 2449: 2445: 2413: 2391: 2387: 2378: 2373: 2361: 2358: 2357: 2329: 2326: 2325: 2309: 2306: 2305: 2270: 2266: 2258: 2256: 2252: 2242: 2237: 2224: 2216: 2214: 2212: 2209: 2208: 2189: 2186: 2185: 2164: 2156: 2154: 2143: 2141: 2138: 2137: 2093: 2060: 2055: 2043: 2040: 2039: 2026: 2017: 1976: 1963: 1962: 1955: 1954: 1953: 1828: 1820: 1819: 1799: 1753:Circular motion 1747: 1737: 1736: 1735: 1692: 1662: 1659: 1638: 1617: 1609: 1608: 1605: 1604: 1562: 1552: 1544: 1543: 1542: 1501: 1497:Mechanical work 1490: 1474: 1412: 1404: 1403: 1402: 1357: 1349: 1326: 1302: 1296: 1292: 1290: 1281: 1280: 1278: 1275: 1274: 1257: 1184: 1109: 1100:Biot-Savart law 1081:'s 1828 paper, 1062: 1059: 1058: 1042: 1039: 1038: 1014: 967: 964: 963: 944: 941: 940: 924: 921: 920: 864: 862: 849: 844: 833: 830: 829: 807: 804: 803: 777: 774: 773: 732: 729: 728: 709: 706: 705: 676: 672: 670: 667: 666: 617: 613: 611: 608: 607: 585: 580: 575: 407:École Militaire 308: 277: 251: 237: 223: 209: 207: 203: 168: 163: 162: 158: 156:Poisson's ratio 154: 150: 146: 142: 140:Poisson algebra 138: 136:Poisson bracket 134: 130: 126: 122: 118: 116:Poisson process 102:Alma mater 97: 88: 84: 75: 69: 60: 54: 52: 35: 28: 23: 22: 15: 12: 11: 5: 6386: 6376: 6375: 6370: 6365: 6360: 6355: 6350: 6345: 6340: 6335: 6330: 6325: 6320: 6315: 6310: 6305: 6300: 6295: 6290: 6273: 6272: 6270: 6269: 6261: 6253: 6245: 6237: 6229: 6221: 6213: 6205: 6197: 6189: 6177: 6169: 6157: 6145: 6133: 6125: 6117: 6105: 6097: 6085: 6077: 6069:François Arago 6065: 6057: 6049: 6041: 6029: 6021: 6013: 6005: 6001:David Brewster 5997: 5989: 5981: 5973: 5965: 5957: 5949: 5941: 5933: 5925: 5917: 5909: 5900: 5897: 5896: 5888: 5887: 5880: 5873: 5865: 5859: 5858: 5849: 5827: 5815: 5801: 5800:External links 5798: 5795: 5794: 5766:978-0787638139 5765: 5739: 5706: 5695:(2): 114–130. 5675: 5668: 5650: 5643: 5625: 5618: 5600: 5573:(3): 355–407. 5553: 5546: 5528: 5521: 5491: 5484: 5466: 5459: 5428: 5409:(3): 146–156. 5389: 5382: 5364: 5347: 5327: 5310: 5303: 5285: 5278: 5260: 5253: 5235: 5228: 5210: 5198:François Arago 5190: 5165: 5143: 5128:Chisholm, Hugh 5079: 5052:(3): 233–250. 5032: 5006: 5005: 5003: 5000: 4999: 4998: 4993: 4987: 4986: 4983:Physics portal 4972: 4958: 4942: 4939: 4920: 4917: 4916: 4915: 4909: 4902: 4900: 4894:Title page to 4893: 4886: 4883: 4882: 4874: 4861: 4853: 4845: 4831: 4828: 4811: 4807: 4801: 4797: 4791: 4788: 4768: 4748: 4723: 4718: 4714: 4710: 4676: 4672: 4649: 4645: 4628:caloric theory 4605: 4604:Thermodynamics 4602: 4597: 4594: 4590:Sophie Germain 4565: 4554: 4548: 4545: 4542: 4501: 4495: 4492: 4487: 4484: 4478: 4475: 4472: 4469: 4466: 4463: 4436: 4416: 4413: 4410: 4405: 4401: 4397: 4394: 4389: 4382: 4379: 4355: 4352: 4349: 4344: 4340: 4336: 4333: 4328: 4321: 4318: 4294: 4267: 4261: 4258: 4253: 4250: 4244: 4241: 4238: 4235: 4232: 4229: 4226: 4223: 4221: 4219: 4213: 4210: 4205: 4202: 4196: 4188: 4184: 4180: 4175: 4172: 4161: 4157: 4153: 4148: 4145: 4139: 4131: 4127: 4123: 4118: 4115: 4104: 4100: 4096: 4091: 4088: 4082: 4079: 4077: 4075: 4069: 4066: 4061: 4058: 4052: 4047: 4040: 4037: 4025: 4021: 4017: 4012: 4009: 4003: 3998: 3991: 3988: 3976: 3972: 3968: 3963: 3960: 3954: 3951: 3949: 3944: 3941: 3936: 3933: 3927: 3926: 3903: 3900: 3897: 3894: 3891: 3888: 3885: 3882: 3879: 3876: 3852: 3849: 3846: 3843: 3840: 3837: 3834: 3831: 3828: 3825: 3822: 3819: 3796: 3788: 3784: 3780: 3775: 3772: 3761: 3757: 3753: 3748: 3745: 3739: 3731: 3727: 3723: 3718: 3715: 3704: 3700: 3696: 3691: 3688: 3682: 3679: 3676: 3673: 3670: 3667: 3640: 3620: 3600: 3580: 3545: 3537: 3533: 3529: 3524: 3521: 3515: 3510: 3503: 3500: 3470: 3462: 3455: 3452: 3445: 3440: 3437: 3431: 3423: 3416: 3413: 3406: 3401: 3398: 3392: 3387: 3383: 3352: 3349: 3341: 3337: 3333: 3328: 3325: 3319: 3315: 3307: 3300: 3297: 3290: 3285: 3282: 3276: 3269: 3266: 3262: 3234: 3226: 3219: 3216: 3209: 3204: 3201: 3195: 3187: 3180: 3177: 3170: 3165: 3162: 3134: 3127: 3124: 3100: 3080: 3077: 3074: 3071: 3068: 3059:. Poisson set 3045: 3042: 3036: 3030: 3027: 3022: 3019: 2993: 2990: 2987: 2984: 2981: 2978: 2975: 2972: 2969: 2966: 2963: 2960: 2945: 2942: 2939: 2931: 2927: 2923: 2918: 2915: 2909: 2901: 2897: 2893: 2888: 2885: 2879: 2875: 2867: 2860: 2857: 2850: 2845: 2842: 2836: 2829: 2826: 2822: 2797: 2777: 2757: 2737: 2708: 2705: 2701: 2693: 2690: 2687: 2683: 2679: 2674: 2671: 2665: 2656: 2652: 2648: 2642: 2638: 2630: 2626: 2622: 2619: 2616: 2613: 2610: 2607: 2604: 2601: 2597: 2590: 2587: 2583: 2578: 2575: 2569: 2562: 2559: 2555: 2550: 2544: 2541: 2536: 2533: 2507: 2484: 2481: 2478: 2473: 2469: 2466: 2463: 2458: 2455: 2452: 2448: 2444: 2441: 2438: 2435: 2432: 2429: 2426: 2423: 2419: 2416: 2412: 2409: 2406: 2403: 2400: 2397: 2394: 2390: 2386: 2381: 2376: 2372: 2368: 2365: 2353:, that is, if 2342: 2339: 2336: 2333: 2313: 2290: 2287: 2283: 2276: 2273: 2269: 2264: 2261: 2255: 2248: 2245: 2241: 2236: 2230: 2227: 2222: 2219: 2193: 2170: 2167: 2162: 2159: 2153: 2149: 2146: 2122: 2119: 2116: 2112: 2109: 2106: 2103: 2099: 2096: 2092: 2089: 2086: 2083: 2080: 2077: 2074: 2071: 2068: 2063: 2058: 2054: 2050: 2047: 2025: 2022: 2019: 2018: 2016: 2015: 2008: 2001: 1993: 1990: 1989: 1988: 1987: 1974: 1957: 1956: 1952: 1951: 1946: 1941: 1936: 1931: 1926: 1921: 1916: 1911: 1906: 1901: 1896: 1891: 1886: 1881: 1876: 1871: 1866: 1861: 1856: 1851: 1846: 1841: 1836: 1830: 1829: 1826: 1825: 1822: 1821: 1818: 1817: 1798: 1797: 1792: 1787: 1782: 1780:Coriolis force 1777: 1776: 1775: 1765: 1760: 1755: 1749: 1748: 1743: 1742: 1739: 1738: 1734: 1733: 1728: 1723: 1722: 1721: 1716: 1706: 1701: 1696: 1689: 1678: 1677: 1676: 1671: 1658: 1657: 1652: 1647: 1642: 1635: 1630: 1625: 1619: 1618: 1615: 1614: 1611: 1610: 1607: 1606: 1603: 1602: 1597: 1592: 1587: 1582: 1577: 1571: 1565: 1563: 1556: 1553: 1550: 1549: 1546: 1545: 1541: 1540: 1535: 1530: 1525: 1520: 1515: 1510: 1505: 1499: 1494: 1488: 1483: 1472: 1467: 1462: 1457: 1452: 1451: 1450: 1445: 1435: 1430: 1425: 1420: 1414: 1413: 1410: 1409: 1406: 1405: 1401: 1400: 1395: 1390: 1385: 1380: 1375: 1370: 1365: 1359: 1358: 1355: 1354: 1351: 1350: 1348: 1347: 1342: 1337: 1331: 1328: 1327: 1322: 1308: 1305: 1299: 1295: 1289: 1271: 1270: 1264: 1263: 1256: 1253: 1196:Fourier series 1183: 1180: 1108: 1105: 1066: 1046: 1013: 1010: 971: 951: 948: 928: 917: 916: 904: 901: 898: 892: 888: 885: 882: 879: 876: 873: 870: 867: 861: 855: 852: 848: 843: 840: 837: 811: 787: 784: 781: 757: 754: 751: 748: 745: 742: 739: 736: 713: 690: 687: 684: 679: 675: 656: 655: 643: 640: 637: 634: 631: 628: 625: 620: 616: 584: 581: 579: 576: 574: 571: 462:peer of France 450:Louis-Philippe 418:First Republic 328:Étienne Bézout 307: 304: 260: 259: 256: 255: 246: 242: 241: 235:Michel Chasles 232: 228: 227: 218: 214: 213: 198: 194: 193: 184: 180: 179: 173: 172: 152:Poisson's spot 124:Poisson kernel 113: 112:Known for 109: 108: 103: 99: 98: 89: 87:(aged 58) 81: 77: 76: 61: 50: 46: 45: 37: 36: 34:Siméon Poisson 33: 26: 18:Siméon Poisson 9: 6: 4: 3: 2: 6385: 6374: 6371: 6369: 6366: 6364: 6361: 6359: 6356: 6354: 6351: 6349: 6346: 6344: 6341: 6339: 6336: 6334: 6331: 6329: 6326: 6324: 6321: 6319: 6316: 6314: 6311: 6309: 6306: 6304: 6301: 6299: 6296: 6294: 6291: 6289: 6286: 6285: 6283: 6266: 6262: 6258: 6254: 6250: 6246: 6242: 6241:John Herschel 6238: 6234: 6230: 6226: 6222: 6218: 6214: 6210: 6206: 6202: 6198: 6194: 6190: 6186: 6182: 6178: 6174: 6170: 6166: 6162: 6158: 6154: 6150: 6146: 6142: 6138: 6134: 6130: 6126: 6122: 6118: 6114: 6110: 6106: 6102: 6098: 6094: 6090: 6089:William Prout 6086: 6082: 6078: 6074: 6070: 6066: 6062: 6061:John Brinkley 6058: 6054: 6050: 6046: 6042: 6038: 6037:John Herschel 6034: 6033:Edward Sabine 6030: 6026: 6022: 6018: 6014: 6010: 6006: 6002: 5998: 5994: 5990: 5986: 5982: 5978: 5974: 5970: 5966: 5962: 5961:William Henry 5958: 5954: 5950: 5946: 5942: 5938: 5934: 5930: 5926: 5922: 5918: 5914: 5910: 5906: 5905:Astley Cooper 5902: 5901: 5898: 5893: 5886: 5881: 5879: 5874: 5872: 5867: 5866: 5863: 5857: 5853: 5850: 5847: 5843: 5842: 5837: 5833: 5828: 5825: 5820: 5816: 5813: 5808: 5804: 5803: 5790: 5784: 5776: 5772: 5768: 5762: 5758: 5753: 5752: 5743: 5734: 5729: 5725: 5721: 5717: 5710: 5702: 5698: 5694: 5690: 5686: 5679: 5671: 5665: 5661: 5654: 5646: 5644:0-19-506136-5 5640: 5636: 5629: 5621: 5619:0-19-506136-5 5615: 5611: 5604: 5596: 5592: 5588: 5584: 5580: 5576: 5572: 5568: 5564: 5557: 5549: 5543: 5539: 5532: 5524: 5522:0-201-02918-9 5518: 5514: 5513: 5508: 5502: 5500: 5498: 5496: 5487: 5481: 5477: 5470: 5462: 5460:0-19-506136-5 5456: 5452: 5445: 5443: 5441: 5439: 5437: 5435: 5433: 5424: 5420: 5416: 5412: 5408: 5404: 5400: 5393: 5385: 5383:0-19-506136-5 5379: 5375: 5368: 5360: 5359: 5351: 5343: 5342: 5334: 5332: 5323: 5322: 5314: 5306: 5300: 5296: 5289: 5281: 5275: 5271: 5264: 5256: 5250: 5246: 5239: 5231: 5229:0-19-506136-5 5225: 5221: 5214: 5207: 5203: 5199: 5194: 5175: 5169: 5153: 5147: 5139: 5138: 5133: 5129: 5124: 5123:public domain 5110: 5108: 5106: 5104: 5102: 5100: 5098: 5096: 5094: 5092: 5090: 5088: 5086: 5084: 5075: 5071: 5067: 5063: 5059: 5055: 5051: 5047: 5043: 5036: 5021: 5020:Maths History 5017: 5011: 5007: 4997: 4994: 4992: 4989: 4988: 4984: 4978: 4973: 4970: 4964: 4959: 4956: 4945: 4938: 4936: 4932: 4926: 4925:Galois theory 4912: 4906: 4901: 4897: 4890: 4885: 4884: 4880: 4879: 4875: 4873: 4869: 4865: 4862: 4860: 4859: 4854: 4851: 4850: 4846: 4843: 4842: 4838: 4837: 4836: 4827: 4809: 4805: 4799: 4795: 4789: 4786: 4766: 4746: 4721: 4716: 4712: 4708: 4700: 4696: 4692: 4674: 4670: 4647: 4643: 4634: 4629: 4624: 4622: 4621: 4616: 4612: 4601: 4593: 4591: 4587: 4583: 4579: 4575: 4568: 4562: 4558: 4541: 4539: 4538: 4533: 4529: 4525: 4521: 4516: 4512: 4499: 4493: 4485: 4476: 4470: 4467: 4464: 4452: 4450: 4434: 4411: 4408: 4403: 4399: 4392: 4387: 4380: 4377: 4350: 4347: 4342: 4338: 4331: 4326: 4319: 4316: 4292: 4282: 4265: 4259: 4251: 4242: 4236: 4233: 4230: 4224: 4222: 4211: 4203: 4194: 4186: 4182: 4173: 4159: 4155: 4146: 4137: 4129: 4125: 4116: 4102: 4098: 4089: 4080: 4078: 4067: 4059: 4050: 4045: 4038: 4035: 4023: 4019: 4010: 4001: 3996: 3989: 3986: 3974: 3970: 3961: 3952: 3950: 3942: 3939: 3934: 3931: 3915: 3898: 3895: 3892: 3889: 3886: 3880: 3877: 3874: 3866: 3847: 3844: 3841: 3835: 3832: 3826: 3823: 3820: 3807: 3794: 3786: 3782: 3773: 3759: 3755: 3746: 3737: 3729: 3725: 3716: 3702: 3698: 3689: 3680: 3674: 3671: 3668: 3656: 3654: 3651:. Then their 3638: 3618: 3598: 3578: 3570: 3566: 3562: 3556: 3543: 3535: 3531: 3522: 3513: 3508: 3501: 3498: 3485: 3481: 3468: 3460: 3453: 3450: 3438: 3429: 3421: 3414: 3411: 3399: 3390: 3385: 3381: 3371: 3369: 3363: 3350: 3347: 3339: 3335: 3326: 3317: 3313: 3305: 3298: 3295: 3283: 3274: 3267: 3264: 3260: 3249: 3245: 3232: 3224: 3217: 3214: 3202: 3193: 3185: 3178: 3175: 3163: 3148: 3132: 3125: 3122: 3098: 3078: 3075: 3072: 3069: 3066: 3043: 3040: 3034: 3028: 3025: 3020: 3017: 3004: 2991: 2988: 2985: 2982: 2979: 2976: 2973: 2970: 2967: 2964: 2961: 2958: 2943: 2940: 2937: 2929: 2925: 2916: 2907: 2899: 2895: 2886: 2877: 2873: 2865: 2858: 2855: 2843: 2834: 2827: 2824: 2820: 2809: 2795: 2775: 2755: 2735: 2727: 2726: 2719: 2706: 2703: 2699: 2688: 2681: 2672: 2663: 2654: 2650: 2646: 2640: 2636: 2628: 2620: 2617: 2611: 2608: 2605: 2602: 2599: 2595: 2588: 2585: 2576: 2567: 2560: 2557: 2553: 2548: 2542: 2534: 2519: 2505: 2495: 2482: 2479: 2476: 2471: 2464: 2453: 2446: 2442: 2439: 2436: 2433: 2430: 2424: 2417: 2414: 2410: 2404: 2398: 2395: 2392: 2388: 2384: 2379: 2374: 2370: 2366: 2363: 2354: 2337: 2331: 2311: 2301: 2288: 2285: 2281: 2274: 2271: 2262: 2253: 2246: 2243: 2239: 2234: 2228: 2220: 2205: 2191: 2168: 2165: 2160: 2157: 2151: 2147: 2144: 2133: 2120: 2117: 2114: 2104: 2097: 2094: 2090: 2084: 2078: 2075: 2072: 2066: 2061: 2056: 2052: 2048: 2045: 2036: 2033: 2031: 2014: 2009: 2007: 2002: 2000: 1995: 1994: 1992: 1991: 1985: 1975: 1972: 1967: 1961: 1960: 1959: 1958: 1950: 1947: 1945: 1942: 1940: 1937: 1935: 1932: 1930: 1927: 1925: 1922: 1920: 1917: 1915: 1912: 1910: 1907: 1905: 1902: 1900: 1897: 1895: 1892: 1890: 1887: 1885: 1882: 1880: 1877: 1875: 1872: 1870: 1867: 1865: 1862: 1860: 1857: 1855: 1852: 1850: 1847: 1845: 1842: 1840: 1837: 1835: 1832: 1831: 1824: 1823: 1816: 1812: 1808: 1804: 1801: 1800: 1796: 1793: 1791: 1788: 1786: 1783: 1781: 1778: 1774: 1771: 1770: 1769: 1766: 1764: 1761: 1759: 1756: 1754: 1751: 1750: 1746: 1741: 1740: 1732: 1729: 1727: 1724: 1720: 1717: 1715: 1712: 1711: 1710: 1707: 1705: 1702: 1700: 1697: 1695: 1690: 1687: 1683: 1680: 1679: 1675: 1672: 1669: 1665: 1661: 1660: 1656: 1653: 1651: 1648: 1646: 1643: 1641: 1636: 1634: 1631: 1629: 1626: 1624: 1621: 1620: 1613: 1612: 1601: 1598: 1596: 1593: 1591: 1588: 1586: 1583: 1581: 1578: 1576: 1573: 1572: 1570: 1569: 1564: 1561: 1560: 1555: 1554: 1548: 1547: 1539: 1536: 1534: 1531: 1529: 1526: 1524: 1521: 1519: 1516: 1514: 1511: 1509: 1506: 1504: 1500: 1498: 1495: 1493: 1489: 1487: 1484: 1481: 1477: 1473: 1471: 1468: 1466: 1463: 1461: 1458: 1456: 1453: 1449: 1446: 1444: 1441: 1440: 1439: 1436: 1434: 1431: 1429: 1426: 1424: 1421: 1419: 1416: 1415: 1408: 1407: 1399: 1396: 1394: 1391: 1389: 1386: 1384: 1381: 1379: 1376: 1374: 1371: 1369: 1366: 1364: 1361: 1360: 1353: 1352: 1346: 1343: 1341: 1338: 1336: 1333: 1332: 1330: 1329: 1325: 1306: 1303: 1293: 1287: 1273: 1272: 1269: 1266: 1265: 1261: 1260: 1252: 1250: 1245: 1242: 1240: 1236: 1232: 1228: 1224: 1219: 1217: 1213: 1209: 1205: 1201: 1197: 1193: 1189: 1179: 1177: 1173: 1169: 1165: 1160: 1158: 1153: 1150: 1144: 1142: 1138: 1134: 1130: 1126: 1122: 1113: 1104: 1101: 1097: 1093: 1088: 1086: 1085: 1080: 1064: 1044: 1035: 1031: 1027: 1023: 1019: 1009: 1007: 1003: 998: 996: 992: 988: 983: 969: 949: 946: 926: 902: 899: 896: 890: 883: 880: 877: 874: 871: 865: 859: 853: 850: 846: 841: 838: 835: 828: 827: 826: 825: 809: 802:) a function 801: 779: 771: 752: 749: 746: 743: 740: 734: 725: 711: 704: 688: 685: 682: 677: 665: 661: 641: 638: 635: 632: 629: 626: 623: 618: 606: 605: 604: 602: 594: 589: 573:Contributions 570: 568: 563: 561: 556: 554: 550: 546: 542: 541: 536: 535: 530: 526: 522: 518: 514: 509: 507: 503: 497: 495: 491: 487: 482: 473: 469: 467: 463: 459: 455: 451: 447: 443: 439: 435: 431: 427: 423: 419: 414: 412: 408: 404: 400: 396: 392: 388: 384: 380: 376: 372: 368: 363: 361: 357: 353: 349: 345: 341: 337: 333: 329: 324: 319: 317: 313: 303: 301: 297: 292: 288: 287:mathematician 283: 275: 272: 269: 266: 257: 254: 250: 247: 243: 240: 236: 233: 229: 226: 222: 219: 215: 212: 206: 202: 199: 195: 192: 188: 185: 181: 178: 174: 171: 166: 161: 160:Poisson zeros 157: 153: 149: 145: 141: 137: 133: 129: 125: 121: 117: 114: 110: 107: 104: 100: 96: 92: 83:25 April 1840 82: 78: 73: 70:(present-day 68: 64: 51: 47: 43: 38: 31: 19: 6173:Robert Brown 6112: 6093:Henry Foster 6073:Peter Barlow 5953:Everard Home 5937:Humphry Davy 5839: 5826:at Wikiquote 5750: 5742: 5723: 5719: 5709: 5692: 5688: 5678: 5659: 5653: 5634: 5628: 5609: 5603: 5570: 5566: 5556: 5537: 5531: 5511: 5475: 5469: 5450: 5406: 5402: 5392: 5373: 5367: 5357: 5350: 5340: 5320: 5313: 5294: 5288: 5269: 5263: 5244: 5238: 5219: 5213: 5201: 5193: 5181:. Retrieved 5168: 5156:. Retrieved 5146: 5135: 5049: 5045: 5035: 5023:. Retrieved 5019: 5010: 4928: 4910: 4895: 4876: 4867: 4856: 4848: 4844:(4to, 1831); 4840: 4833: 4691:Robert Boyle 4625: 4619: 4607: 4599: 4571: 4559:? This is a 4535: 4517: 4514: 4454: 4284: 3917: 3809: 3658: 3558: 3487: 3483: 3373: 3365: 3251: 3247: 3150: 3006: 2811: 2724: 2721: 2521: 2497: 2356: 2303: 2207: 2135: 2038: 2034: 2027: 1903: 1813: / 1809: / 1807:displacement 1805: / 1666: / 1628:Displacement 1566: 1557: 1551:Formulations 1538:Virtual work 1478: / 1418:Acceleration 1411:Fundamentals 1246: 1243: 1230: 1226: 1220: 1211: 1207: 1185: 1161: 1154: 1149:point source 1145: 1118: 1096:Ampère's law 1089: 1082: 1079:George Green 1015: 999: 994: 990: 986: 984: 962:and a point 918: 726: 657: 598: 564: 557: 552: 544: 539: 532: 528: 524: 520: 516: 510: 498: 480: 478: 458:Palais-Royal 415: 406: 402: 385:had sent to 374: 366: 364: 347: 320: 309: 267: 263: 197:Institutions 176: 85:(1840-04-25) 59:21 June 1781 6293:1840 deaths 6288:1781 births 6081:James South 6009:Henry Kater 5993:James Ivory 5894:(1801–1850) 5726:: 197–266. 5183:9 September 4830:Other works 3655:is given by 1949:von Neumann 1616:Core topics 1129:diffraction 1032:. In 1777, 772:and if for 502:electricity 187:Mathematics 6282:Categories 5158:20 October 5002:References 4923:See also: 4520:Paul Dirac 4427:. Suppose 2722:Poisson's 1884:d'Alembert 1864:Maupertuis 1827:Scientists 1709:Rigid body 1383:Kinematics 1168:Arago spot 481:répétiteur 422:Revolution 391:astronomer 367:répétiteur 312:Pithiviers 296:Arago spot 63:Pithiviers 55:1781-06-21 6193:Georg Ohm 6053:John Pond 5783:cite book 5595:122266762 5587:1432-0657 5066:0002-9890 4866:(v. 8 in 4787:γ 4717:γ 4701:, namely 4623:in 1835. 4491:∂ 4483:∂ 4381:˙ 4320:˙ 4257:∂ 4249:∂ 4209:∂ 4201:∂ 4179:∂ 4171:∂ 4152:∂ 4144:∂ 4138:− 4122:∂ 4114:∂ 4095:∂ 4087:∂ 4065:∂ 4057:∂ 4039:˙ 4016:∂ 4008:∂ 3990:˙ 3967:∂ 3959:∂ 3836:− 3779:∂ 3771:∂ 3752:∂ 3744:∂ 3738:− 3722:∂ 3714:∂ 3695:∂ 3687:∂ 3528:∂ 3520:∂ 3502:˙ 3454:˙ 3444:∂ 3436:∂ 3415:˙ 3405:∂ 3397:∂ 3332:∂ 3324:∂ 3318:− 3299:˙ 3289:∂ 3281:∂ 3218:˙ 3208:∂ 3200:∂ 3179:˙ 3169:∂ 3161:∂ 3126:˙ 3076:− 3044:˙ 2922:∂ 2914:∂ 2892:∂ 2884:∂ 2878:− 2859:˙ 2849:∂ 2841:∂ 2678:∂ 2670:∂ 2618:− 2582:∂ 2574:∂ 2549:− 2540:∂ 2532:∂ 2371:∫ 2268:∂ 2260:∂ 2235:− 2226:∂ 2218:∂ 2053:∫ 1929:Liouville 1811:frequency 1731:Vibration 1448:potential 1373:Continuum 1368:Celestial 1345:Textbooks 1255:Mechanics 1090:In 1820, 1065:ρ 866:ρ 860:∭ 854:π 842:− 836:ϕ 810:ϕ 786:∞ 783:→ 735:ρ 712:ϕ 703:potential 683:ϕ 674:∇ 639:ρ 636:π 630:− 624:ϕ 615:∇ 562:in 1837. 506:magnetism 411:Saint-Cyr 332:integrals 306:Biography 291:physicist 5775:41497065 5206:page 662 5074:30037440 4941:See also 4739:, where 4726:constant 2589:′ 2418:′ 2275:′ 2148:′ 2098:′ 1984:Category 1909:Hamilton 1894:Lagrange 1889:Clairaut 1854:Horrocks 1815:velocity 1785:Pendulum 1773:reactive 1745:Rotation 1714:dynamics 1664:Inertial 1650:Friction 1533:Velocity 1508:Momentum 1388:Kinetics 1378:Dynamics 1356:Branches 1340:Timeline 1098:and the 800:infinity 387:Grenoble 383:Napoleon 5854:at the 5423:2690275 5125::  3368:momenta 3248:giving 2304:But if 2184:. Then 1944:Koopman 1904:Poisson 1899:Laplace 1844:Huygens 1839:Galileo 1684: ( 1623:Damping 1476:Inertia 1470:Impulse 1443:kinetic 1393:Statics 1363:Applied 1335:History 1208:Journal 560:peerage 525:Journal 466:science 393:to the 381:, whom 278:French: 191:physics 6267:(1850) 6259:(1849) 6251:(1848) 6243:(1847) 6235:(1846) 6227:(1845) 6219:(1844) 6211:(1843) 6203:(1842) 6195:(1841) 6187:(1840) 6175:(1839) 6167:(1838) 6155:(1837) 6143:(1836) 6131:(1835) 6123:(1834) 6115:(1832) 6103:(1831) 6095:(1827) 6083:(1826) 6075:(1825) 6063:(1824) 6055:(1823) 6047:(1822) 6039:(1821) 6027:(1820) 6019:(1818) 6011:(1817) 6003:(1815) 5995:(1814) 5987:(1813) 5979:(1811) 5971:(1809) 5963:(1808) 5955:(1807) 5947:(1806) 5939:(1805) 5931:(1804) 5923:(1803) 5915:(1802) 5907:(1801) 5773:  5763:  5666:  5641:  5616:  5593:  5585:  5544:  5519:  5482:  5457:  5421:  5380:  5301:  5276:  5251:  5226:  5119:  5072:  5064:  5025:1 June 4913:(1826) 4898:(1839) 4881:(1839) 4588:, and 4285:where 2956:  2953:  2950:  2947:  2136:where 1982:  1934:Appell 1919:Cauchy 1914:Jacobi 1859:Halley 1849:Newton 1834:Kepler 1686:linear 1682:Motion 1528:Torque 1503:Moment 1438:Energy 1428:Couple 1107:Optics 919:where 549:orbits 444:. The 426:Empire 424:, the 360:Sceaux 316:Loiret 183:Fields 72:Loiret 5591:S2CID 5419:JSTOR 5177:(PDF) 5070:JSTOR 4447:is a 3863:. By 2498:then 1939:Gibbs 1924:Routh 1879:Euler 1518:Speed 1513:Space 1455:Force 768:is a 543:, in 531:, in 494:Arago 430:baron 409:) at 334:of a 265:Baron 5789:link 5771:OCLC 5761:ISBN 5664:ISBN 5639:ISBN 5614:ISBN 5583:ISSN 5542:ISBN 5517:ISBN 5480:ISBN 5455:ISBN 5378:ISBN 5299:ISBN 5274:ISBN 5249:ISBN 5224:ISBN 5185:2016 5160:2020 5062:ISSN 5027:2022 4693:and 4613:and 4366:and 3631:and 3591:and 3563:and 1523:Time 1486:Mass 1202:and 1174:and 1139:and 701:for 504:and 342:and 289:and 274:FRSE 189:and 80:Died 49:Born 5757:173 5728:doi 5697:doi 5575:doi 5411:doi 5134:". 5054:doi 5050:112 4534:'s 2035:Let 1237:in 1186:In 727:If 724:. 603:, 271:FRS 6284:: 6183:/ 6163:/ 6151:/ 6139:/ 6111:/ 6091:/ 6071:/ 6035:/ 5844:, 5838:, 5834:, 5785:}} 5781:{{ 5769:. 5759:. 5724:13 5722:. 5718:. 5691:. 5687:. 5589:. 5581:. 5571:68 5569:. 5565:. 5494:^ 5431:^ 5417:. 5407:52 5405:. 5401:. 5330:^ 5082:^ 5068:. 5060:. 5048:. 5044:. 5018:. 4826:. 4540:. 3914:is 3351:0. 2707:0. 2289:0. 1251:. 1218:. 1143:. 1087:. 1024:; 569:. 519:, 488:, 468:. 314:, 302:. 93:, 65:, 5884:e 5877:t 5870:v 5791:) 5777:. 5736:. 5730:: 5703:. 5699:: 5693:1 5672:. 5647:. 5622:. 5597:. 5577:: 5550:. 5525:. 5488:. 5463:. 5425:. 5413:: 5386:. 5307:. 5282:. 5257:. 5232:. 5208:. 5187:. 5162:. 5076:. 5056:: 5029:. 4810:V 4806:c 4800:P 4796:c 4790:= 4767:V 4747:P 4722:= 4713:V 4709:P 4675:P 4671:c 4648:V 4644:c 4552:: 4500:. 4494:t 4486:u 4477:= 4474:] 4471:u 4468:, 4465:H 4462:[ 4435:u 4415:] 4412:H 4409:, 4404:i 4400:p 4396:[ 4393:= 4388:i 4378:p 4354:] 4351:H 4348:, 4343:i 4339:q 4335:[ 4332:= 4327:i 4317:q 4293:H 4266:, 4260:t 4252:u 4243:+ 4240:] 4237:H 4234:, 4231:u 4228:[ 4225:= 4212:t 4204:u 4195:+ 4187:i 4183:q 4174:H 4160:i 4156:p 4147:u 4130:i 4126:p 4117:H 4103:i 4099:q 4090:u 4081:= 4068:t 4060:u 4051:+ 4046:i 4036:p 4024:i 4020:p 4011:u 4002:+ 3997:i 3987:q 3975:i 3971:q 3962:u 3953:= 3943:t 3940:d 3935:u 3932:d 3902:) 3899:t 3896:, 3893:p 3890:, 3887:q 3884:( 3881:u 3878:= 3875:u 3851:] 3848:u 3845:, 3842:v 3839:[ 3833:= 3830:] 3827:v 3824:, 3821:u 3818:[ 3795:. 3787:i 3783:q 3774:v 3760:i 3756:p 3747:u 3730:i 3726:p 3717:v 3703:i 3699:q 3690:u 3681:= 3678:] 3675:v 3672:, 3669:u 3666:[ 3639:p 3619:q 3599:v 3579:u 3544:. 3536:i 3532:q 3523:L 3514:= 3509:i 3499:p 3469:. 3461:i 3451:q 3439:T 3430:= 3422:i 3412:q 3400:L 3391:= 3386:i 3382:p 3370:, 3348:= 3340:i 3336:q 3327:L 3314:) 3306:i 3296:q 3284:L 3275:( 3268:t 3265:d 3261:d 3233:, 3225:i 3215:q 3203:T 3194:= 3186:i 3176:q 3164:L 3133:i 3123:q 3099:V 3079:V 3073:T 3070:= 3067:L 3041:q 3035:= 3029:t 3026:d 3021:q 3018:d 2992:. 2989:n 2986:, 2983:. 2980:. 2977:. 2974:, 2971:2 2968:, 2965:1 2962:= 2959:i 2944:, 2941:0 2938:= 2930:i 2926:q 2917:V 2908:+ 2900:i 2896:q 2887:T 2874:) 2866:i 2856:q 2844:T 2835:( 2828:t 2825:d 2821:d 2796:t 2776:V 2756:T 2736:q 2704:= 2700:] 2692:) 2689:n 2686:( 2682:y 2673:f 2664:[ 2655:n 2651:x 2647:d 2641:n 2637:d 2629:n 2625:) 2621:1 2615:( 2612:+ 2609:. 2606:. 2603:. 2600:+ 2596:) 2586:y 2577:f 2568:( 2561:x 2558:d 2554:d 2543:y 2535:f 2506:y 2483:, 2480:x 2477:d 2472:) 2468:) 2465:x 2462:( 2457:) 2454:n 2451:( 2447:y 2443:, 2440:. 2437:. 2434:. 2431:, 2428:) 2425:x 2422:( 2415:y 2411:, 2408:) 2405:x 2402:( 2399:y 2396:, 2393:x 2389:( 2385:f 2380:b 2375:a 2367:= 2364:S 2341:) 2338:x 2335:( 2332:y 2312:S 2286:= 2282:) 2272:y 2263:f 2254:( 2247:x 2244:d 2240:d 2229:y 2221:f 2192:S 2169:x 2166:d 2161:y 2158:d 2152:= 2145:y 2121:, 2118:x 2115:d 2111:) 2108:) 2105:x 2102:( 2095:y 2091:, 2088:) 2085:x 2082:( 2079:y 2076:, 2073:x 2070:( 2067:f 2062:b 2057:a 2049:= 2046:S 2012:e 2005:t 1998:v 1688:) 1307:t 1304:d 1298:p 1294:d 1288:= 1283:F 1225:( 1045:V 970:P 950:V 947:d 927:r 903:, 900:V 897:d 891:r 887:) 884:z 881:, 878:y 875:, 872:x 869:( 851:4 847:1 839:= 780:r 756:) 753:z 750:, 747:y 744:, 741:x 738:( 689:0 686:= 678:2 642:, 633:4 627:= 619:2 595:. 401:( 369:( 276:( 74:) 57:) 53:( 20:)

Index

Siméon Poisson

Pithiviers
Kingdom of France
Loiret
Sceaux, Hauts-de-Seine
Kingdom of France
École Polytechnique
Poisson process
Poisson equation
Poisson kernel
Poisson distribution
Poisson limit theorem
Poisson bracket
Poisson algebra
Poisson regression
Poisson summation formula
Poisson's spot
Poisson's ratio
Poisson zeros
Conway–Maxwell–Poisson distribution
Euler–Poisson–Darboux equation
Mathematics
physics
École Polytechnique
Bureau des Longitudes
École de Saint-Cyr
Joseph-Louis Lagrange
Pierre-Simon Laplace
Michel Chasles

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