William Woolsey Johnson

William Woolsey Johnson (1841–1927) was an American mathematician, who was one of the founders of the American Mathematical Society.

William Woolsey Johnson
Picture by Thomas Eakins
Born(1841-06-23)June 23, 1841
Owego (NY)
DiedMay 14, 1927(1927-05-14) (aged 85)
Baltimore (MD)
Resting placeWoodlawn Cemetery (Baltimore)
39.325200°N 76.726093°W / 39.325200; -76.726093
Alma materYale University
Scientific career
FieldsMathematics
InstitutionsUnited States Naval Academy
St. John's College
Kenyon College

Life and work

Johnson, son of a farmer of Tioga County, New York, studied at Yale University where he received his BA in 1862. After two years serving in the Nautical Almanac Office in Cambridge, Massachusetts, he began his academic career as assistant professor in the Naval Academy in Newport, Rhode Island, but soon transferred to Annapolis, Maryland, from 1864 to 1869. In 1870 he was appointed professor of mathematics at Kenyon College and since 1872 at St. John's College (Annapolis).[1] In 1881 he returned to the Naval Academy as full professor where he remained until his retirement in 1921.

He served as one of the five members of the Council of the American Mathematical Society for the 1892–1893 term[2] and he was one of the impulsors of the birth of the Bulletin of the Society[3] and one of his main first contributors.

Johnson is mainly remembered by his books on differential calculus, basing it on related rates.[4] He is also known to be the first on probing the conditions of solvability of the 15 puzzle.[5]

Selected publications

Articles
  • Johnson, W. Woolsey (1891). "Octonary numeration". Bull. Amer. Math. Soc. 1: 1–6. doi:10.1090/S0002-9904-1891-00015-2.
  • Johnson, W. Woolsey (1892). "The mechanical axioms or laws of motion". Bull. Amer. Math. Soc. 1 (6): 129–139. doi:10.1090/S0002-9904-1892-00051-1.
  • Johnson, W. Woolsey (1893). "On Peters's formula for probable error". Bull. Amer. Math. Soc. 2 (4): 57–61. doi:10.1090/S0002-9904-1893-00107-9.
  • Johnson, W. Woolsey (1893). "A case of non-euclidian geometry". Bull. Amer. Math. Soc. 2 (7): 158–161. doi:10.1090/S0002-9904-1893-00130-4.
  • Johnson, W. Woolsey (1894). "Gravitation and absolute units of force". Bull. Amer. Math. Soc. 3 (8): 197–199. doi:10.1090/S0002-9904-1894-00210-9.
  • Johnson, W. Woolsey (1895). "Kinetic stability of central orbits". Bull. Amer. Math. Soc. 1 (8): 193–196. doi:10.1090/S0002-9904-1895-00272-4.
  • Johnson, W. Woolsey (1906). "Note on the numerical transcendents Sn and sn =Sn-1". Bull. Amer. Math. Soc. 12 (10): 477–482. doi:10.1090/S0002-9904-1906-01374-X.

Books
gollark: To pointlessly overextend your analogy, if you go down to the bottom you are also *further down*/further from the top, which is bad.
gollark: So I was off by a factor of 23.
gollark: Hmm, 230000.
gollark: No, I think it's bigger actually, hold on.
gollark: But SQLite is *not actually* very heavyweight. Its source amalgamation thing is only 10000 lines of C or something.

References
  1. Dwight 1874, p. 298.
  2. Austin, Barry & Berman 2010, p. 145.
  3. Fiske 2000, p. 5.
  4. Austin, Barry & Berman 2010, p. 144.
  5. Hendrixson 2011, p. 6.

Bibliography
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