Dirichlet's approximation theorem: Difference between revisions

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==Method of proof==

This theorem is a consequence of the [[pigeonhole principle]]. Dirichlet who proved the result used the same principle in other contexts (for example, the [[Pell equation]]) and by naming the principle (in German) popularized its use, though its status in textbook terms comes later.<ref>http://jeff560.tripod.com/p.html for a number of historical references.</ref> The method extends to simultaneous approximation.<ref>{{Springer|id=d/d032940|title=Dirichlet theorem}}</ref>

==References==