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Frederick S. Woods

{{Use dmy dates|date=April 2022}}

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,{{cite web|url=http://math.mit.edu/about/history/faculty.php|title=Faculty - MIT Mathematics|website=math.mit.edu}} being head of the department of mathematics from 1930 to 1934{{cite web|url=http://math.mit.edu/about/history/facts.php|title=Facts - MIT Mathematics|website=math.mit.edu}} and chairman of the MIT faculty from 1931 to 1933.{{cite web|url=https://libraries.mit.edu/mithistory/institute/offices/mit-faculty/|title=MIT History - MIT Faculty|website=libraries.mit.edu}}

His textbook on analytic geometry in 1897 was reviewed by Maxime Bôcher.Maxime Bocher (1897) [https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-3/issue-9/Review--Frederick-H-Bailey-and-Frederick-S-Woods-Plane/bams/1183414982.full Review of Plane and Solid Analytic geometry] via Project Euclid

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

Works

  • 1901: {{Cite journal|author=Woods, F. S.|year=1901|title=Space of constant curvature|journal=The Annals of Mathematics|volume=3|issue=1/4|pages=71–112|doi=10.2307/1967636 |jstor=1967636}}
  • 1905: {{Cite journal|author=Woods, F. S.|year=1905|orig-year=1903|title=Forms of non-Euclidean space|journal=The Boston Colloquium: Lectures on Mathematics for the Year 1903|pages=31–74|url=https://archive.org/details/in.ernet.dli.2015.161268}}
  • 1907: (with Frederick H. Bailey) [https://archive.org/stream/acourseinmathem02bailgoog A course in mathematics] via Internet Archive
  • 1917: (with Frederick H. Bailey) [https://archive.org/stream/analyticgeometr00bailgoog Analytic geometry and calculus] via Internet Archive
  • 1922: (with Frederick H. Bailey) [https://archive.org/stream/cu31924003985425 Elementary calculus] via Internet Archive
  • 1922: [https://archive.org/stream/highergeometryin00wooduoft Higher geometry]
  • 1926: Advanced Calculus: A Course Arranged With Special Reference To The Needs Of Students Of Applied Mathematics, Ginn and Company, 1926

Non-Euclidean geometry

{{see|History of Lorentz transformations}}

Following Wilhelm Killing (1885) and others, Woods described motions in spaces of non-Euclidean geometry in the form:Woods (1903/05), p. 55

: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 spaceWoods (1903/05), p. 72

Notes

{{Reflist}}

External links

  • {{MathGenealogy|7439}}

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Category:1864 births

Category:1950 deaths

Category:Mathematicians from Massachusetts

Category:Massachusetts Institute of Technology School of Science faculty

Category:American textbook writers