Henri Poincaré Archives - MultiMedia

Henri Poincaré: Potential of an electric mass distributed on the surface of a sphere

Nicolae Sfetcu — Fri, 09 Jun 2023 19:35:28 +0000

Such is the present state of the question; let us see now what is the goal that I have in view; what would have been most interesting would have been to replace the current calculation methods with other less defective … Read More

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Henri Poincaré: Solving Dirichlet’s problem

Nicolae Sfetcu — Tue, 16 May 2023 17:09:46 +0000

Dirichlet’s problem reduces to the search for Green’s functions. Let’s find a function V which inside a surface S satisfies Laplace’s equation and on this surface takes given values. Suppose that we have found a function U which is finite, … Read More

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Henri Poincaré: Dirichlet problem

Nicolae Sfetcu — Mon, 17 Apr 2023 16:55:09 +0000

The Dirichlet problem is always possible; this principle is known as Dirichlet’s principle and the first proof is due to Riemann. If a function V is subject to taking given values at various points of a certain surface, bounding a … Read More

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Henri Poincaré: Common properties of mathematical physics

Nicolae Sfetcu — Wed, 22 Mar 2023 23:42:12 +0000

This rapid review of the various parts of mathematical physics has convinced us that all these problems, despite the extreme variety of boundary conditions and even differential equations, have, so to speak, a certain air of family which it is … Read More

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Henri Poincaré: On the Partial Differential Equations of Mathematical Physics – Law of cooling of an isolated solid body in space

Nicolae Sfetcu — Mon, 30 Jan 2023 11:16:59 +0000

Suppose we are looking for the law of cooling of an isolated solid body in space. It will be a question of finding a function V satisfying the equation dV/dt = kΔV, and which moreover is given for t = … Read More

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Henri Poincaré, Mathematical physics: 1 – Dirichlet’s problem

Nicolae Sfetcu — Mon, 19 Dec 2022 12:22:20 +0000

When we consider the various problems of integral calculus which naturally arise when we want to go deeper into the most different parts of physics, it is impossible not to be struck by the analogies that all these problems present … Read More

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Henri Poincaré, The Moral Union

Nicolae Sfetcu — Fri, 30 Aug 2019 14:20:17 +0000

(This allocution was delivered by Henri Poincaré at the inaugural meeting of the French League of Moral Education on June 26, 1912, three weeks before his death. This is the last time he has spoken in public.) Today’s Assembly brings … Read More

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Henri Poincaré, Morality and Science

Nicolae Sfetcu — Sun, 25 Aug 2019 16:31:44 +0000

In the last half of the nineteenth century, we often dreamed of creating a scientific morality. It was not enough to boast the educative virtue of science, the advantages which the human soul derives for its own perfecting of the … Read More

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Henri Poincaré, Reports on Matter and Ether

Nicolae Sfetcu — Fri, 23 Aug 2019 06:46:52 +0000

(Conference at the French Society of Physics, April 11, 1912.) When Mr. Abraham came to ask me to close the series of lectures organized by the French Society of Physics, I was at first about to refuse; it seemed to … Read More

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Henri Poincaré, Quanta hypothesis: Conclusions

Nicolae Sfetcu — Mon, 19 Aug 2019 12:33:30 +0000

We see what is the state of the question; the ancient theories, which hitherto seemed to account for all known phenomena, have encountered an unexpected obstacle. It seemed that a modification was necessary. A hypothesis was first presented in Mr. … Read More

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