"The title is the same as that of a very well-known book by Professor
L. E. Dickson (with which ours has little in common). We proposed
at one time to change it to 'An introduction to arithmetic', a more novel
and in some ways a more appropriate title; but it was pointed out that
this might lead to misunderstandings about the content of the book."
G.H. Hardy and E. M. Wright "An Introduction to the Theory of Numbers"
"The title is the same as that of a very well-known book by Professor L. E. Dickson (with which ours has little in common). We proposed at one time to change it to 'An introduction to arithmetic', a more novel and in some ways a more appropriate title; but it was pointed out that this might lead to misunderstandings about the content of the book."
"The word `basic’ in the title is closer in meaning to `foundational’ rather than `elementary’ [...]" (quoted from that same wikipedia page).