Misplaced Pages

Frederick S. Woods

Article snapshot taken from Wikipedia with creative commons attribution-sharealike license. Give it a read and then ask your questions in the chat. We can research this topic together.

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, being head of the department of mathematics from 1930 to 1934 and chairman of the MIT faculty from 1931 to 1933.

His textbook on analytic geometry in 1897 was reviewed by Maxime Bôcher.

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

Works

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:

x 1 ′ = x 1 cos ⁡ k l + x 0 sin ⁡ k l k , x 2 ′ = x 2 , x 2 ′ = x 3 , x 0 ′ = − x 1 k sin ⁡ k l + x 0 cos ⁡ k l {\displaystyle x_{1}^{\prime }=x_{1}\cos kl+x_{0}{\frac {\sin kl}{k}},\quad x_{2}^{\prime }=x_{2},\quad x_{2}^{\prime }=x_{3},\quad x_{0}^{\prime }=-x_{1}k\sin kl+x_{0}\cos kl}

which becomes a Lorentz boost by setting k 2 = − 1 {\displaystyle k^{2}=-1} , as well as general motions in hyperbolic space

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

External links

Categories:
Frederick S. Woods Add topic