Frederick_S._Woods Knowpia

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]

Works edit

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
1926: Advanced Calculus: A Course Arranged With Special Reference To The Needs Of Students Of Applied Mathematics, Ginn and Company, 1926

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

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 $k^{2}=-1$ , as well as general motions in hyperbolic space^[6]

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