"[O]ur modem Analysts are not content to consider only the Differences of finite Quantities: they also consider the Differences of those Differences, and the Differences of the Differences of the first Differences. And so on ad infinitum. That is, they consider Quantities infinitely less than the least discernible Quantity; and others infinitely less than those infinitely small ones; and still others infinitely less than the preceding Infinitesimals, and so on without end or limit."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Imported from EN Wikiquote
https://en.wikiquote.org/wiki/History_of_calculus
Revision History
No revisions have been submitted for this quote.
Categories
History of calculus
146 quotes on TrueQuotesView all quotes by History of calculus →
Related Quotes
"In Sorbière's day, European thinkers and intellectuals of widely divergent religious and political affiliations campa…"
"On the one side were ranged the forces of hierarchy and order—Jesuits, Hobbesians, French Royal Courtiers, and High C…"
"[Joseph-Louis Lagrange's] lectures on differential calculus form the basis of his Theorie des fonctions analytiques w…"
"Nothing is easier... than to fit a deceptively smooth curve to the discontinuities of mathematical invention. Everyth…"
"Fermat applied his method of tangents to many difficult problems. The method has the form of the now-standard method …"
"Descartes' method of finding tangents and normals... was not a happy inspiration. It was quickly superseded by that o…"
"Archimedes was the earliest thinker to develop the apparatus of an infinite series with a finite limit ...starting on…"
"The fundamental definitions of the calculus, those of the derivative and integral, are now so clearly stated in textb…"
"The precision of statement and the facility of application which the rules of the calculus early afforded were in a m…"
"Nothing in Descartes' work led directly to Leibniz's calculus, but Descartes' discoveries in mathematics were certain…"