1832 in science
- Dr. Thomas Bell begins publication of A Monograph of the Testudinata, the first comprehensive study of the world's turtles.
- Isidore Geoffroy Saint-Hilaire begins publication of Histoire générale et particulière des anomalies de l’organisation chez l’homme et les animaux, a key text on teratology.
- Évariste Galois presents a general condition for the solvability of algebraic equations, thereby essentially founding group theory and Galois theory. On May 29, the eve of a duel from which he will die, he writes his "mathematical testament", a letter to Auguste Chevalier.
- Peter Gustav Lejeune Dirichlet proves Fermat's last theorem for n = 14.
- János Bolyai's system of non-Euclidean geometry is first published.
- February 12 – In England, a second cholera pandemic begins to spread, starting from the East End of London. It is declared officially over in early May but deaths continue. It will claim at least 3000 victims. In Liverpool, Kitty Wilkinson becomes the "Saint of the Slums" by promoting hygiene.
- July 19 – Anatomy Act in the United Kingdom provides for licensing and inspection of anatomists, and for unclaimed bodies from public institutions to be available for their dissection.
- Dr James Kay publishes The moral and physical condition of the working-class employed in the cotton manufacture in Manchester.
- Thomas Hodgkin first describes abnormalities in the lymph system later known as Hodgkin's lymphoma.
- Michael Faraday states his laws of electrolysis.
- c. December – Following a paper by Faraday, Belgian physicist Joseph Plateau and Austrian professor of practical geometry Simon Stampfer simultaneously and independently devise the phenakistiscope, an animation device creating an optical illusion of motion.
- June 17 – William Crookes (died 1919), English chemist and physicist.
- August 16 – Wilhelm Wundt (died 1920), German physiologist and psychologist.
- September 26 – Zsófia Torma (died 1899), Hungarian archaeologist, anthropologist and paleontologist.
- October 4 – Thorborg Rappe (died 1902), Swedish pioneer in the education of students with Intellectual disability.
- December 12 – Ludwig Sylow (died 1918), Norwegian mathematician.
- December 15 – Gustave Eiffel (died 1923), French structural engineer.
- May 13 – Georges Cuvier (born 1769), French zoologist.
- May 31 – Évariste Galois (born 1811), French mathematician.
- August 24 – Nicolas Léonard Sadi Carnot (born 1796), French mathematician
- September 2 – Franz Xaver, Baron Von Zach (born 1754), Hungarian astronomer.
- October 31 – Antonio Scarpa (born 1752), Italian anatomist.
- November 8 -Marie-Jeanne de Lalande, French astronomer, (born 1760).
- Encyclopædia Britannica Eleventh Edition. 1911.
- "Justus von Liebig and Friedrich Wöhler". Science History Institute.
- Bowden, Mary Ellen (1997). "Justus von Liebig and Friedrich Wöhler". Chemical achievers: the human face of the chemical sciences. Philadelphia, PA: Chemical Heritage Foundation. pp. 83–87. ISBN 9780941901123.
- Crilly, Tony (2007). 50 Mathematical Ideas you really need to know. London: Quercus. p. 152. ISBN 978-1-84724-008-8.
- As an appendix to a mathematics textbook by his father, Farkas Bolyai, published in Maros Vásárhelyini.
- "'Slum Saint' honoured with statue". BBC News. 4 February 2010. Retrieved 9 April 2011.
- Rathbone, Herbert R. (1927), Memoir of Kitty Wilkinson of Liverpool, 1786-1860, H. Young & Sons
- Hellman, S. (2007). "Brief Consideration of Thomas Hodgkin and His Times". In Hoppe, R. T.; Mauch, P. T.; Armitage, J. O.; Diehl, V.; Weiss, L. M. (eds.). Hodgkin Lymphoma (2nd ed.). Philadelphia: Wolters Kluwer Health/Lippincott Williams & Wilkins. pp. 3–6. ISBN 978-0-7817-6422-3.
- Hodgkin, T. (1832). "On some morbid experiences of the absorbent glands and spleen". Medico-Chirurgical Transactions. London. 17: 69–97.
- "James Rennell – the father of oceanography". Southampton: National Oceanography Centre, James Rennell Division for Ocean Circulation and Climate. 2009. Archived from the original on 2011-05-16. Retrieved 2011-04-05.
- Necker, L. A. (1832). "Observations on some remarkable optical phaenomena seen in Switzerland; and on an optical phaenomenon which occurs on viewing a figure of a crystal or geometrical solid". London and Edinburgh Philosophical Magazine and Journal of Science. 1 (5): 329–337. doi:10.1080/14786443208647909.
- "Copley Medal | British scientific award". Encyclopedia Britannica. Retrieved 22 July 2020.