Math`e*mat"ics (?), n.
[F. mathématiques,
pl., L. mathematica, sing.,
Gr. &?; (sc. &?;) science. See Mathematic, and -ics.]
That science, or class of
sciences, which treats of the exact relations existing between quantities or magnitudes,
and of the
methods by which, in accordance with these relations, quantities
sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
&fist; Mathematics
embraces three departments, namely: 1. Arithmetic. 2. Geometry, including Trigonometry and Conic Sections. 3. Analysis, in which letters are used, including
Algebra, Analytical Geometry, and Calculus. Each of these divisions is divided into pure or abstract, which considers magnitude or quantity abstractly, without relation to matter; and mixed or applied, which treats of magnitude as subsisting in material bodies, and is consequently interwoven with physical
considerations.