the elementary stages of any subject (usually plural)
<noun.cognition> he mastered only the rudiments of geometry
the remains of a body part that was functional at an earlier stage of life
<noun.body> Meckel's diverticulum is the rudiment of the embryonic yolk sac
Rudiment \Ru"di*ment\, v. t. To furnish with first principles or rules; to insrtuct in the rudiments. --Gayton.
Rudiment \Ru"di*ment\, n. [L. rudimentum, fr. rudis unwrought, ignorant, rude: cf. F. rudiment. See {Rude}.] 1. That which is unformed or undeveloped; the principle which lies at the bottom of any development; an unfinished beginning.
but I will bring thee where thou soon shalt quit Those rudiments, and see before thine eyes The monarchies of the earth. --Milton.
the single leaf is the rudiment of beauty in landscape. --I. Taylor.
2. Hence, an element or first principle of any art or science; a beginning of any knowledge; a first step.
This boy is forest-born, And hath been tutored in the rudiments of many desperate studies. --Shak.
There he shall first lay down the rudiments Of his great warfare. --Milton.
3. (Biol.) An imperfect organ or part, or one which is never developed.