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On Transcendental Numbers: New Results and a Little History

2018/03/01 by Solomon Marcus, Florin F. Nichita · 1 voice
Mathematics · Physics and Astronomy · #Mathematical and Theoretical Analysis #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications

paper · pdf · doi:10.3390/axioms7010015

openalex created_date 2016/06/24 · openalex publication_date 2018/03/01 · openalex updated_date 2026/07/23

Abstract

Bringing toghether mathematical and philosophical ideas related to transcendental numbers, this paper begins with a survey on transcendence and transcendental numbers, it then presents several properties of the transcendental numbers e and π , and then it gives the proof of a new inequality for transcendental numbers. Also, in relationship with these topics, we study solutions to the Yang-Baxter equation from hyperbolic functions and from logical implication.

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