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SUMMARY:About the nature of π: Proofs and conjectures in Lambert's Mémoi
re (1768) - Eduardo Dorrego López (Seville)
DTSTART;VALUE=DATE-TIME:20180727T143000
DTEND;VALUE=DATE-TIME:20180727T150000
UID:https://talks.ox.ac.uk/talks/id/ac2ae359-0215-4b96-851e-a9ac1bb5196e/
DESCRIPTION:The emergence of analytic methods in the 17th century opened a
new way in order to tackle the elucidation of certain quantities. The str
ong presence of the circle-squaring problem\, focused mainly the attention
on π\, on which besides the serious doubts about its rationality\, it ar
ises an awareness---boosted by the new algebraic approach---of the difficu
lty of framing it inside algebraic boundaries. The term ``transcendence''
emerges in this context but with a very ambiguous meaning.\n\nThe first gr
eat step towards its comprehension\, took place in the 18th century and ca
me from Johann Heinrich Lambert's hand\, who using a new analytical machin
ery---continued fractions---gave the first proof of irrationality of π. T
he problem of keeping this number inside the algebraic limits\, also recei
ves an especial attention at the end of his 'Mémoires sur quelques propri
étés remarquables des quantités transcendantes\, circulaires et logarit
hmiques'\, published by the Berlin Academy of Science in 1768. In this wor
k\, Lambert after giving to the term ``transcendence'' its modern meaning\
, conjectures the transcendence of π and therefore the impossibility of s
quaring the circle.\nSpeakers:\nEduardo Dorrego López (Seville)
LOCATION:Mathematical Institute (Lecture room L6)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/ac2ae359-0215-4b96-851e-a9ac1bb5196e/
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DESCRIPTION:Talk:About the nature of π: Proofs and conjectures in Lambert
's Mémoire (1768) - Eduardo Dorrego López (Seville)
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