ANALYSIS OF TRANSCENDENTAL NUMBERS IN VARIOUS MATHEMATICAL DOMAINS

Abstract

This paper provides an exploration of transcendental numbers, which are real or complex numbers that are not roots of any non-zero polynomial with integer coefficients. Transcendental numbers are of fundamental importance in various fields of mathematics, including number theory, algebra, and analysis. The paper discusses the history, properties, and applications of transcendental numbers in these domains. It highlights key results such as Lindemann’s theorem and explores their implications in fields like algebraic geometry, analysis, and cryptography.