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Just after the discovery of infinitesmal calculus, physicists began by needing only very simple methods of integration, the problems in general reducing to elementary differential equations. But when higher partial differential equations were introduced, the corresponding problems almost immediatelly proved to be far above the level of those which contemporary mathematics could treat.

— Jacques Hadamard

What It Means

This is a placeholder explanation generated by the low-overhead model. It interprets "Just after the discovery of infinitesmal calculus, physicists began by needing only very simple methods of integration, the problems in general reducing to elementary differential equations. But when higher partial differential equations were introduced, the corresponding problems almost immediatelly proved to be far above the level of those which contemporary mathematics could treat." in the context of "p. 12" to mean that wisdom is timeless.

Source: Wikiquote: "Jacques Hadamard" (Quotes, Four lectures on mathematics, delivered at Columbia University in 1911 (1915)) The 'What it means' explanation text was generated by Google Gemini Flash (accessed January 18, 2026). https://gemini.google.com/app
Jacques Hadamard

About Jacques Hadamard

Jacques Salomon Hadamard (8 December 1865 – 17 October 1963) was a French mathematician, famous for his research in complex analysis, partial differential equations, differential geometry, and analytic number theory.