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]

His textbook on analytic geometry in 1897 was reviewed by Maxime Bocher.[4]

In 1901 he wrote on Riemannian geometry and curvature of Riemannian manifolds. In 1903 he spoke on non-Euclidean geometry.

Works
  • 1901: Woods, F. S. (1901). "Space of constant curvature". The Annals of Mathematics. 3 (1/4): 71–112. doi:10.2307/1967636. JSTOR 1967636.
  • 1905: Woods, F. S. (1905) [1903]. "Forms of non-Euclidean space". The Boston Colloquium: Lectures on Mathematics for the Year 1903: 31–74.
  • 1907: (with Frederick H. Bailey) A course in mathematics via Internet Archive
  • 1917: (with Frederick H. Bailey) Analytic geometry and calculus via Internet Archive
  • 1922: (with Frederick H. Bailey) Elementary calculus via Internet Archive
  • 1922: Higher geometry

Non-Euclidean geometry
Further information: History of Lorentz transformations

Following Wilhelm Killing (1885) and others, Woods described motions in spaces of non-Euclidean geometry in the form:[5]

which becomes a Lorentz boost by setting , as well as general motions in hyperbolic space[6]

Notes
  1. "Faculty - MIT Mathematics". math.mit.edu.
  2. "Facts - MIT Mathematics". math.mit.edu.
  3. "MIT History - MIT Faculty". libraries.mit.edu.
  4. Maxime Bocher (1897) Review of Plane and Solid Analytic geometry via Project Euclid
  5. Woods (1903/05), p. 55
  6. Woods (1903/05), p. 72
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