Peiffer, Jeanne (Author)
In this paper we brush a portrait of Jacob Bernoulli as seen by his youngest brother Johann.Toassociatebothbrothersisalonghabitinthehistoriography(Comte,MachSpiess),whichwillnotbecompletelylosthere.Afterhavingrecalledwhatweknowaboutthetrainingofthetwobrothers,wewillshortlydescribetheworksdoneincommon,especiallythoseconcerningtheLeibniziandifferentialandintegralcalculus.TherivalrybetweenthebrothersisattheoriginofanumberofsentencesandjudgementsinthecorrespondencesoftheBernoulli.TheygiveusanopportunitytobetterunderstandthepersonandmathematicianJacobBernoulli,hisrelationswithhisbrother and also what their competition owes to the nature of mathematical practices at that time.
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