*See also:* 1823 in science, other events of 1824, 1825 in science, list of years in science.

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2 Technology 3 Awards 4 Births 5 Deaths |

- Niels Henrik Abel partially proves that the general quintic or higher equations cannot be solved by a general formula involving only arithmetical operations and roots.
- Augustin Louis Cauchy proves convergence of the Euler method. In this proof, Cauchy uses the implicit Euler method

- Sadi Carnot scientifically analyzes the efficiency of steam engines.
- Patent issued to Joseph Aspin for portland cement.

- February 7 - William Huggins, astronomer
- February 16 - Peter Kozler, cartographer, geographer.
- March 12 - Gustav Kirchhoff, physicist
- June 26 - William Thomson, Lord Kelvin, physicist