The Birkhoff–Kellogg theorem and its generalizations by Schauder and Leray have applications to partial differential differential equations.
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"A Set of Postulates for Plane Geometry (Based on Scale and Protractors)," Annals of Mathematics 33.
Birkhoff's research and consulting work (notably for General Motors) developed computational methods besides numerical linear algebra, notably the representation of smooth curves via cubic splines.