n.
Field of mathematics that incorporates the methods of algebra and calculus
specifically of limit s, continuity , and infinite series
to analyze classes of function s and equation s having general properties (e.g., differentiability).
Analysis builds on the work of G.W. Leibniz and Isaac Newton by exploring the applications of the derivative and the integral . Several distinct but related subfields have developed, including the calculus of variations, differential equation s, Fourier analysis (see Fourier transform ), complex analysis, vector and tensor analysis , real analysis, and functional analysis . See also numerical analysis .