books - Errata for Emil Artin's 'The Gamma Function'?

In the English translation of The Gamma Function by Emil Artin (1964 - Holt, Rinehart and Winston) there appears to be a mistake in the formula given for the gamma function on page 24:

$$Gamma(x) = sqrt{2pi}x^{x-1/2}e^{-x+mu(x)}$$
$$mu(x)=sum_{n=0}^infty(x+n+frac{1}{2})text{log}(1+frac{1}{x+n})-1=frac{theta}{12x}, 0 < theta < 1$$

and on page 22 where this is derived, it is noted that '$theta$ is a number independent of $x$ between 0 and 1'.

This sounds incorrect, as $theta$ does depend on $x$, but since the wording is a little ambiguous it may just be an unclear translation. The original German might have meant that $0< theta(x) < 1$ for any $x$. That the variable $x$ is suppressed from $theta$ could be just confusing notation, or someone's misunderstanding (possibly mine.)

The preface does mention that a (different) formula had to be corrected for the English reprint.

I would like to know if there are mistakes in this book, and if so, whether they exist in the German edition. Is there an available list of errata?

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