This is a list of amateur mathematicians—people whose primary vocation did not involve mathematics (or any similar discipline) yet made notable, and sometimes important, contributions to the field of mathematics. In general, they are not listed in the Mathematics Genealogy Project.
- Maria Gaetana Agnesi (primary school teacher)
- Ahmes (scribe)
- Robert Ammann (programmer and postal worker)
- John Arbuthnot (surgeon and author)
- Jean-Robert Argand (bookkeeper)
- Leon Bankoff (Beverly Hills Dentist)
- Rev. Thomas Bayes (Presbyterian minister)
- Andrew Beal (businessman)
- Friedrich Bessel (accountant)
- Bernard Frénicle de Bessy (Counsellor, Cour des monnaies)
- Chester Ittner Bliss (biologist)
- Napoléon Bonaparte (general)
- George Boole (primary school teacher)
- Mary Everest Boole (homemaker, librarian)
- William Bourne (innkeeper)
- Nathaniel Bowditch (indentured bookkeeper)
- Achille Brocot (clockmaker)
- Harlan J. Brothers (teacher, inventor, and musician)
- Jost Bürgi (clockmaker)
- Marvin Ray Burns (veteran)
- Gerolamo Cardano (medical doctor)
- D. G. Champernowne, (college student)
- Thomas Clausen (technical assistant)
- Sir James Cockle (judge)
- Federico Commandino (medical doctor)
- William Crabtree (merchant)
- Nathan Daboll (cooper)
- Felix Delastelle (bonded warehouseman)
- Martin Demaine (goldsmith and glass artist)
- Humphry Ditton (minister)
- Harvey Dubner (engineer)
- Henry Dudeney (civil servant)
- Albrecht Dürer (painter)
- M. C. Escher (graphic artist)
- Pasquale Joseph Federico (patent attorney)
- Sarah Flannery (high school student)
- Reo Fortune (anthropologist)
- John G.F. Francis (research assistant)
- Benjamin Franklin (founding father)
- Bernard Frénicle de Bessy (counsellor)
- Gemma Frisius (medical doctor)
- Britney Gallivan (high school student)
- James Garfield (United States President)
- Antoine Gombaud (essayist)
- Thorold Gosset (lawyer)
- Jørgen Pedersen Gram (actuary)
- Hermann Grassmann (school teacher)
- John Graunt (haberdasher)
- George Green (miller)
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- André-Michel Guerry (lawyer)
- Charles James Hargreave (judge)
- Oliver Heaviside (telegraph operator)
- Kurt Heegner (private scholar)
- Alfred Bray Kempe (lawyer)
- Thomas Kirkman (church rector)
- Hedy Lamar (actress)
- Emanuel Lasker (chess player)
- Harry Lindgren (civil servant)
- Ada Lovelace (countess)
- Kenneth McIntyre (lawyer)
- Danica McKellar (actress)
- Anderson Gray McKendrick (medical doctor)
- Marin Mersenne (theologian)
- Florence Nightingale (nurse)
- Rudolf Ondrejka (veterinarian)
- Jacques Ozanam (tutor)
- B. Nicolò I. Paganini (schoolboy)
- Pāṇini (linguist)
- Blaise Pascal (heir, private scholar)
- Henry Perigal (stockbroker)
- Kenneth Perko (lawyer)
- Pingala (musician)
- William Playfair (draftsman)
- Henry Cabourn Pocklington (schoolmaster)
- François Proth (farmer)
- Srinivasa Ramanujan (clerk)
- Ramchundra (head master)
- Marjorie Rice (homemaker)
- Olinde Rodrigues (banker, social reformer)
- Robert Schlaifer, (classics scholar)
- William Shanks (landlord)
- Abraham Sharp, (schoolmaster)
- Simon Stevin (merchants clerk)
- Alicia Boole Stott (Secretary)
- Gaston Tarry (civil servant)
- Niccolò Fontana Tartaglia (bookkeeper)
- Sebastien Truchet (monk)
- Franciscus Vieta (lawyer)
- Giordano Vitale (soldier)
- William Wallace (bookbinder)
- Walter Frank Raphael Weldon (evolutionary biologist)
- Johannes Werner (parish priest)
- Magnus Wenninger (monk)
- Caspar Wessel (lawyer)
- Leo Wiener (linguist)
- Frank Wilcoxon (chemist)
- Edouard Zeckendorf (medical doctor)
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And the man widely regarded as "The King of Amateurs",
- Pierre de Fermat (lawyer)