Dictionary

higher arithmetic en · NOUN

Meanings

1. (dated, uncountable) Number theory; the branch of pure mathematics concerned primarily with integers and integer-valued functions.
   • 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.
   • The higher arithmetic, or the theory of numbers, is concerned with the properties of the natural numbers 1, 2, 3, . . . . 1999, [1952], H. Davenport, The Higher Arithmetic: An Introduction to Number Theory, 7th edition, Cambridge University Press, page 7:
2. (obsolete, uncountable) A loosely defined range of topics in arithmetic, distinguished from elementary arithmetic by the more advanced nature of the methods and concepts.
   • 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. 1976, Charles S. Peirce, The New Elements of Mathematics, Volume 1: Arithmetic, Mouton Publishers, page 95:
   • 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. 1895, Report, Mississippi State Department of Education, page 10:

Relateds

vulgar arithmetic