Abstract
We will now prove that π is transcendental. This was first proved by F. Lindemann in 1882 by modifying Hermite’s methods. The proof proceeds by contradiction. Before we begin the proof, we recall two facts from algebraic number theory.
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Bibliography
F. Lindemann, Über die zahl Φ, Math. Annalen, 20, 213–225 (1882)
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Murty, M.R., Rath, P. (2014). Lindemann’s Theorem. In: Transcendental Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0832-5_3
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DOI: https://doi.org/10.1007/978-1-4939-0832-5_3
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