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    • Graph theory and topology

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      • Leonhard Euler (/ ˈɔɪlər / OY-lər; [ b ]German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] ⓘ, Swiss Standard German: [ˈleːɔnhart ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician, and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus.
      en.wikipedia.org/wiki/Leonhard_Euler
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  2. 2 days ago · Euler introduced the constant = (+ + + + + ⁡ ()), now known as Euler's constant or the Euler–Mascheroni constant, and studied its relationship with the harmonic series, the gamma function, and values of the Riemann zeta function.

  3. Oct 8, 2024 · The problem was tackled first by Leonhard Euler in 1748, then Joseph-Louis Lagrange in 1763, by Pierre-Simon Laplace in 1773. Each effort improved the mathematical treatment until the issue was resolved by Laplace in 1784 approximately 100 years after Newton's first publication on gravity.

  4. Sep 24, 2024 · Euler’s formula, either of two important mathematical theorems of Leonhard Euler. The first says e^ix = cos x + i sin x. When x = π or 2π, e^iπ = −1 and e^2iπ = 1, respectively. The second relates the number of faces, vertices, and edges of any polyhedra.

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  5. 2 days ago · The second son Eugen shared a good measure of his father's talent in computation and languages, but had a vivacious and sometimes rebellious character. He wanted to study philology, whereas Gauss wanted him to become a lawyer.

  6. Oct 1, 2024 · About MathWorld; MathWorld Classroom; Contribute; MathWorld Book; wolfram.com; 13,205 Entries; Last Updated: Tue Oct 1 2024 ©1999–2024 Wolfram Research, Inc.

  7. 4 days ago · In 1764 Leonhard Euler employed Bessel functions of both zero and integral orders in an analysis of vibrations of a stretched membrane, an investigation which was further developed by Lord Rayleigh in 1878, where he demonstrated that Bessels functions are particular cases of Laplaces functions.

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