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Titlebook: Henri Poincaré; Impatient Genius Ferdinand Verhulst Book 2012 Springer Science+Business Media New York 2012 Biography.Dynamical Systems.Hen

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樓主: burgeon
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發(fā)表于 2025-3-25 06:42:14 | 只看該作者
22#
發(fā)表于 2025-3-25 10:55:59 | 只看該作者
Mathematical Physicsications and physical theories. We aim at conveying the ideas while leaving technical details to the literature cited. We will leave out dynamical systems, since they were discussed in a separate chapter.
23#
發(fā)表于 2025-3-25 12:18:29 | 只看該作者
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發(fā)表于 2025-3-25 18:25:30 | 只看該作者
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發(fā)表于 2025-3-25 23:10:28 | 只看該作者
Poincaré’s Address to the Society for Moral EducationNowadays, scientists are not too fond of “moral societies.” Moralizing as such tends to arouse suspicion, for it often takes place for reasons that are not mentioned explicitly. Also, societies with a moralizing agenda are often sponsored by wealthy business executives, a class with which many intellectuals do not want to be associated.
26#
發(fā)表于 2025-3-26 01:16:19 | 只看該作者
Historical Data and Biographical DetailsWe summarize here some data and events that are characteristic of the social and political climate in which the Poincaré family lived: The Duchy of Lorraine was incorporated into France in 1766. Part of Alsace, the Republic of Mulhouse, became a region of France in 1798.
27#
發(fā)表于 2025-3-26 05:33:27 | 只看該作者
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發(fā)表于 2025-3-26 09:58:25 | 只看該作者
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發(fā)表于 2025-3-26 15:45:15 | 只看該作者
30#
發(fā)表于 2025-3-26 17:21:31 | 只看該作者
Analysis Situss, Riemann sheets, and non-Euclidean geometry. That influence also came out abundantly in his analysis of dynamical systems, including conservative systems. His concept of “consequents” (Poincaré map) led him to formulate fixed-point theorems to obtain periodic solutions; see Section 9.5. The dynami
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