1829 in Science - Mathematics

Mathematics

• Johann Peter Gustav Lejeune Dirichlet publishes a memoir giving the Dirichlet conditions, showing for which functions the convergence of the Fourier series holds; introducing Dirichlet's test for the convergence of series; the Dirichlet function as an example that not any function is integrable; and, in the proof of the theorem for the Fourier series, the Dirichlet kernel and Dirichlet integral. He also introduces a general modern concept for a function.
• Nikolai Ivanovich Lobachevsky publishes his work on hyperbolic non-Euclidean geometry.
• S. D. Poisson publishes Sur l'attraction des sphéroides.