Higher arithmetic

The higher arithmetic, or the theory of numbers, is concerned with the properties of the natural numbers 1, 2, 3, . . . .

2008, Harold M. Edwards, Higher Arithmetic: An Algorithmic Introduction to Number Theory, American Mathematical Society, https://books.google.com.au/books?id=JTER4y2vBMIC&printsec=frontcover&dq=%22higher+arithmetic%22&hl=en&newbks=1&newbks_redir=0&sa=X&ved=2ahUKEwj3lPH21PzuAhWVwzgGHXU0AZMQ6AEwBHoECFwQAg#v=onepage&q=%22higher%20arithmetic%22&f=false.

Arithmetic should overlap algebra, because the simpler parts of Algebra are easier than higher arithmetic; and some knowledge of algebra would conduce to a more intelligent appreciation of such topics as proportion, evolution, application of percentage, etc.

With division higher arithmetic naturally begins, and for the more advanced pupil it will be proper here to insert a short course on that subject.