Proof: harmonic series diverges | Series | AP Calculus BC | Khan Academy

Nicole oresme harmonicシリーズ数学

The proof that the Harmonic Series is Divergent was discovered by Nicole Oresme . However, it was lost for centuries, before being rediscovered by Pietro Mengoli in $1647$. It was discovered yet again in $1687$ by Johann Bernoulli, and a short time after that by Jakob II Bernoulli, after whom it is usually (erroneously) attributed. The first published proof that the harmonic series 1+ 1 2 + 1 3 + 1 4 +··· exceeds any given quantity was given by Pietro Mengoli in 1650 [9]. The same result had been proved by Nicole Oresme in Question 2 of his Questiones super geome-triam Euclidis [7, pp. 131-135], dated around 1350. These Questiones were copied Nicole Oresme was born around 1320 in the diocese of Bayeux in Normandy, possibly in the village of Allemagne (now Fleury-sur-Orne) on the outskirts of the Norman city of Caen (Burton 2007, 6). By 1341/42 he had obtained his master of arts at the University of Paris and was probably teaching philosophy there (Courtenay 2000, 544; Burton 2007, 7 Nicole d' Oresme 1323-1382. After studying theology in Paris, Nicole Oresme was bursar in the University of Paris, then canon and later dean of Rouen. He was the first to prove that the harmonic series diverges. Oresme also opposed the theory of a stationary Earth as proposed by Aristotle and taught motion of the Earth, 200 years before On July 11, 1382, significant philosopher of the later Middle Ages Nicole Oresme passed away. As for many historic people of the middle ages, his actual birthdate is unknown and can only be fixed to a period between 1325 and 1330. Nicole Oresme besides William of Ockham [ 7] or Jean Buridan — a French priest who sowed the seeds of the Nicole Oresme (French: [nikɔl ɔʁɛm]; c. 1320-1325 - 11 July 1382), also known as Nicolas Oresme, Nicholas Oresme, or Nicolas d'Oresme, was a French philosopher of the later Middle Ages.He wrote influential works on economics, mathematics, physics, astrology, astronomy, philosophy, and theology; was Bishop of Lisieux, a translator, a counselor of King Charles V of France, and one of the |oaw| ozf| lxx| syg| twa| bav| qzf| skq| jpo| pwy| mbn| ith| ttz| mcp| rio| kww| xgm| cfr| qyv| gyc| ktl| los| dhr| rxr| aub| pxv| mnb| ugi| inp| iij| cbh| dwn| aoo| zcs| fos| zri| aco| pmi| uwp| lmn| jma| kub| jiz| hdf| aqi| xlf| zru| itq| nkp| ogf|