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A good snippet to come back to whenever one needs to be humbled: Euler's work touched upon so many fields that he is often the earliest written reference on a
by waivek 8y ago
A good snippet to come back to whenever one needs to be humbled:
Euler's work touched upon so many fields that he is often the earliest written reference on a given matter. In an effort to avoid naming everything after Euler, some discoveries and theorems are attributed to the first person to have proved them after Euler.
- chris_wot 8y agoIf you think that might make you humbled, then consider that he was completely blind at the end of his life and he was still coming up with new discoveries and conversing with other mathematicians via scribes.
- avip 8y agoAnd raised, with limited success, 13 kids.
- drilldrive 8y agoThere should be acknowledgement that so much was initiated by his work. Perhaps via xxx-Euler's formula or something.
- waterhouse 8y ago~> p | egrep 'Euler[-–][^ ]+' | sort Euler–Bernoulli beam equation, a fourth-order ODE concerning the elasticity of structural beams. Euler–Cauchy equation, a linear equidimensional second-order ODEs with variable coefficients. Its second-order version can emerge from Laplace equation in polar coordinates. Euler–Fermat theorem, that aφ(m) ≡ 1 (mod m) whenever a is coprime to m, and φ is Euler's totient function Euler–Fokker genus Euler–Lagrange equation, a second-order ODE emerging from minimization problems in calculus of variations. Euler–Lotka equation, a characteristic equation employed in mathematical demography Euler–Maclaurin formula (Euler's summation formula) relating integrals to sums Euler–Mascheroni constant, γ ≈ 0.5772, the limiting difference between the harmonic series and the natural logarithm. Euler–Poisson–Darboux equation, a second-order PDE playing important role in solving the wave equation. Euler–Rodrigues formula describing the rotation of a vector in three dimensions Euler–Tricomi equation – a second-order PDE emerging from Euler conservation equations.
- pmiller2 8y agoThere’s some of the same phenomenon going on with Gauss, as well. Not coincidentally, Gauss was probably the last person who truly understood all of mathematics, as it was known in his time.