Bernhard Riemann, a German mathematician, submits his habilitation thesis Ueber die Darstellbarkeit einer Function durch eine trigonometrische Reihe ("About the representability of a function by a trigonometric series"), in which he describes the Riemann integral. It is published by Richard Dedekind in 1867.[4]
Medicine
April–May – Dr John Snow traces the source of one outbreak of cholera in London (which kills 500) to a single water pump, validating his theory that cholera is water-borne, and forming the starting point for epidemiology.
^Frerichs, Ralph R. (2001-08-05). "Who first discovered Vibrio cholera?". UCLA School of Public Health. Archived from the original on 19 January 2008. Retrieved 30 December 2007. Pacini's 1854 publication was titled "Osservazioni microscopiche e deduzioni patologiche sul cholera asiático" ("Microscopical observations and pathological deductions on cholera").
^Haines, Catharine M. C. (2001). International Women in Science: A Biographical Dictionary to 1950. Santa Barbara: ABC-CLIO. p. 12. ISBN 978-1-57607-090-1.
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