Articles or book(s) about the functions behind a scientific calculator

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Chapter 7 The CORDIC Algorithm (pgs 133-156) of Elementary Functions algorithms & implementation 2e by Jean-Michel Muller {© 2006 Birkhäuser} may also be of interest.
excerpt from Chapter 1
This book is devoted to the computation of the elementary functions. Here, we
call elementary functions the most commonly used mathematical functions: sin, cos, tan, sin⁻¹,
cos⁻¹, tan⁻¹, sinh, cosh, tanh, sinh⁻¹, cosh⁻¹, tanh⁻¹, exponentials, and logarithms (we should
merely say “elementary transcendental functions”: from a mathematical point of view, ¹/x is an
elementary function as well as e^x. We do not deal with the basic arithmetic functions in this
book). Theoretically, the elementary functions are not much harder to compute than quotients: it
was shown by Alt [4] that these functions are equivalent to division with respect to Boolean
circuit depth. This means that, roughly speaking, a circuit can output n digits of a sine, cosine,
or logarithm in a time proportional to log n (see also Okabe et al. [249], and Beame et al. [25]).
For practical implementations, however, it is quite different, and much care is necessary if we
want fast and accurate elementary functions.
BEST!
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