Abstract
This note contains a proof of van der Waerden’s theorem, “one of the most elegant pieces of mathematics ever produced,” in nine figures. The proof follows van der Waerden’s original idea to establish the existence of what are now called van der Waerden numbers by using double induction. It also contains ideas and terminology introduced by I. Leader and T. Tao.
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Notes
For the whole essay “How the proof of Baudet’s conjecture was found” see also (Soifer 2009), pages 310–318.
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Blondal, A., Jungić, V. Proof of van der Waerden’s Theorem in Nine Figures. Arnold Math J. 4, 161–168 (2018). https://doi.org/10.1007/s40598-018-0090-5
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DOI: https://doi.org/10.1007/s40598-018-0090-5