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.
Read more about this topic: 1829 In Science
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