Luc Ferro Robin Malbec Pierre Lecoeur Gaston Darboux Personal life and socioeconomic context His contributions were primarily in analysis and differential geometry Interested in the theory of functions and partial differential equations ID: 650008
Download Presentation The PPT/PDF document "Kassandra Sanchez Haleluya Chamiso" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Kassandra
SanchezHaleluya ChamisoLuc FerroRobin MalbecPierre Lecoeur
Gaston
DarbouxSlide2
Personal life and socioeconomic contextSlide3
His contributions were primarily in analysis and differential geometry
Interested in the theory of functions and partial differential equationsstudy of curves and surfaces, including cyclides Produced four volumes on infinitesimal geometry between 1887 and 1896Namesake of many theorems, formulae, and moreDarboux Theorem
Extension of the Intermediate Value Theorem
Darboux
integral Refined criteria for integrabilityIntroduced in a paper on differential equations, written in 1870
Mathematical contributionSlide4
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”
DarbouX’s
Theorem Slide5
Conclusion