Lindemann’s Theorem

M. Ram Murty and Purusottam Rath
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M. Ram Murty: Queen’s University, Department of Mathematics and Statistics
Purusottam Rath: Chennai Mathematical Institute

Chapter Chapter 3 in Transcendental Numbers, 2014, pp 11-14 from Springer

Abstract: Abstract We will now prove that π is transcendental. This was first proved by F. Lindemann Lindemann, F. 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.

Keywords: Constructible Number; Straightedge; Monic Polynomial Equation; Algebraic Integers; Minimal Polynomial (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-0832-5_3

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