Copyright © Andrew Yanthar-Wasilik 2003-2016
 
          Table of Transcendental Constants going Up

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Andrew Yanthar-Wasilik

Ottawa, Ontario, Canada 2003-2016

Abstract. This paper contains an introduction to Universal Transcendental Constants similar to e, π and derived from them. Following books deal with properties of the Transcendental Function, such as index and subscript math, applications in Mathematics, Theology, Philosophy, Quantum Physics, and Cosmology. 

Book1 – Universal Transcendental Function - Introduction.

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In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with integer (or, equivalently, rational) coefficients. The best-known transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and complex numbers are transcendental, since the algebraic numbers are countable while the sets of real and complex numbers are both uncountable. All real transcendental numbers are irrational, since all rational numbers are algebraic. The converse is not true: not all irrational numbers are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0. Another irrational number that is not transcendental is the golden ratio, \varphi or \phi .

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Source Code in FORTRAN for Transcendental Constants

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