Lagrange also advised Fourier, Schwartz also advised Grothendieck, Borel also advised Lebesgue etc...
Lagrange was advised by Euler, and Laplace by D'Alembert
So another path is Euler -> Lagrange -> Fourier -> Navier
another one:
D'Alembert -> Laplace -> Poisson -> Dirichlet -> Lipschitz -> Felix Klein -> Lindemann -> Hilbert
etc etc
Does anyone know how they calculated these logarithmic tables back then? Did they use any form of mechanical calculator, abacus, counting table, lookup tables or any other form of aid?
Or did they simply write in out by hand on paper like on is usually taught in elementary school?
As a minor point I forgot to mention yesterday, Napier's logarithm was a different function from modern logarithm but satisfies many log laws in a wary.
Additionally the first accurate multiplication algorithm faster than long multiplication has only been devised in XX century - Karatsuba's.
Abacus is just a mechanical tool that represents long addition and multiplication.
You can search for a mathematician, find who was their advisor, and their advisor, and so on.