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Gaston Darboux Kassandra Sanchez Haleluya Chamiso Luc Ferro
Robin Malbec Pierre Lecoeur
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Personal life and socioeconomic context
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Mathematical contribution
His contributions were primarily in analysis and differential geometry Interested in the theory of functions and partial differential equations study of curves and surfaces, including cyclides Produced four volumes on infinitesimal geometry between 1887 and 1896 Namesake of many theorems, formulae, and more Darboux Theorem Extension of the Intermediate Value Theorem Darboux integral Refined criteria for integrability Introduced in a paper on differential equations, written in 1870
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DarbouX’s Theorem Let f be a real function and a,b in R such that f is differentiable on [a,b]. If k is a real such that f’(a) ≤ k ≤ f’(b), then there exists c in [a,b], such that f’(c)=k. Functions that satisfy this theorem are referred to as “Fonctions de Darboux”
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Conclusion
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