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Algebraic Independence and Transcendental Numbers(Transcendental Numbers and Related Topics)

open access: yesAlgebraic Independence and Transcendental Numbers(Transcendental Numbers and Related Topics)
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Transcendental Number Theory

2022
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are
Alan Baker, David Masser
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Transcendental numbers

The Mathematical Gazette, 1974
1. You all remember that in that well-known play, Waiting for Godot , the eponymous hero never actually appears. In the same way my talk should perhaps have been entitled Waiting for transcendental numbers —for while transcendental ...
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Some Transcendental Numbers

1996
In this chapter we’ll meet some numbers that transcend the bounds of algebra. The most famous ones are Ludolph’s number π, Napier’s number e, Liouville’s number l, and various logarithms.
John H. Conway, Richard K. Guy
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Transcendental Numbers

1995
Abstract A real or complex number which satisfies no polynomial equation with algebraic coefficients is called transcendental (see Section 1 of Chapter 5). Liouville, in 1844, was the first to show that transcendental numbers exist. although we now know that almost all real or complex numbers have this property.
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Transcendental Number Theory

1975
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics.
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Transcendental numbers

Choice Reviews Online, 2014
M. Ram Murty, Purusottam Rath
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Algebraic Numbers and Transcendental Numbers

1982
A real number can be represented as a point on a straight line, so that a collection of real numbers is sometimes called a point set. For example, {1/n:n = 1,2,…} is a point set, the set of rational numbers in the interval (a, b) is a point set.
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