Frederick S. Woods

Frederick Shenstone Woods (1864–1950) was an American mathematician.

He was a part of the mathematics faculty of the Massachusetts Institute of Technology from 1895 to 1934,[1] being head of the department of mathematics from 1930 to 1934[2] and chairman of the MIT faculty from 1931 to 1933.[3]

In 1901 and 1903 he published two papers on non-Euclidean geometry.[4][5] He also wrote several textbooks.[6]

Following Wilhelm Killing (1885) and others (see History of Lorentz transformations#Woods), Woods described motions in spaces of non-Euclidean geometry in the form:[7]

which becomes a Lorentz boost by setting , as well as general motions in hyperbolic space[8]


  1. "Faculty - MIT Mathematics".
  2. "Facts - MIT Mathematics".
  3. "MIT History - MIT Faculty".
  4. Woods, F. S. (1901). "Space of constant curvature". The Annals of Mathematics. 3 (1/4): 71–112. JSTOR 1967636.
  5. Woods, F. S. (1905) [1903]. "Forms of non-Euclidean space". The Boston Colloquium: Lectures on Mathematics for the year 1903: 31–74.
  6. A course in mathematics (1907), Analytic geometry and calculus (1917), Elementary calculus (1922), Higher geometry (1922)
  7. Woods (1903/05), p. 55
  8. Woods (1903/05), p. 72

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