Re: mathlib

[Dirk Laurie <dirk.laurie@...>]

2014-04-07 16:48 GMT+02:00 Roberto Ierusalimschy <roberto@inf.puc-rio.br>:
>> But since that is not on the table, the main argument in favour of
>> precisely sinh, cosh, tanh is that they belong to a class of functions
>> called "elementary" by mathematicians, which are commonly taught
>> even to engineering students in English-speaking countries, and
>> that their implementation involves subtle points.
>
> That is a good argument. Do you have any reference about that (e.g., a
> list of those "elementary" functions)?

http://dlmf.nist.gov/ is the definitive bible of mathematical functions.
Chapter 4 (out of 36) deals with elementary functions, which are
classified as follows:

- Logarithm, Exponential, Powers
- Trigonometric Functions
- Hyperbolic Functions

Unfortunately, the level of exposition there once one gets into the details
is too advanced to quote here (e.g. a knowledge of complex analysis
is taken for granted).