"The meaning of the differential equation now follows:\frac{df(t)}{dt} = Af(t)expresses the claim that the rate of cha…"

"[W]e find an excellent tract by James Bernoulli concerning the elastic curve, isochronous curves, the path of mean di…"

"Newton] teaches us to take the s, of any given order, of an equation with any given number of variable quantities, wh…"

"Newton almost entirely melted down the treatise of Quadratures into another entitled, the Method of Fluxions, and of …"

"The problem of three bodies has been treated in various ways since the time of Lagrange, but no decided advance towar…"

"We should speak of a dialectics of the calculus... the problem element in so far as... distinguished from the properl…"

"In general, a differential equation arises whenever you have a quantity subject to change. ...Strictly speaking, the …"

"Maxwell's equations had abstract mathematical qualities which were profoundly new and important. Maxwell's theory was…"

"If the idea of physical reality had ceased to be purely atomic, it still remained for the time being purely mechanist…"

"Almost all of fluid dynamics follows from a differential equation called the Navier-Stokes equation. But this general…"