Analysis, the science and use of analysis. The great advantage of the modern mathematics above the ancient is in point of analytics.

Pappus, in the preface to his seventh book of Mathematical Collections, enumerates the authors on the ancient analytics; being Euclid, in his Data and Perimeta; Apollonius, de Sectione Rationis; and in his Conics; Aristeas, de Locis Solidis; and Eratosthenes, de Medis Proportionalibus. But the ancient analytics were very different from the modern.

To the modern analytics principally belong algebra; an historical account of which, with the several authors thereon, see under the article ALGEBRA.