analysis (differential/integral calculus, functional analysis, topology) metric space, normed vector space open ball, open subset, neighbourhood convergence, limit of a sequence compactness, sequential compactness … … Epsilontic analysis is the now standard rigorous approach to analysis, developed by Bolzano 1817, Augustin Cauchy, Karl Weierstraß, Richard Dedekind, and others in the mid-to-late 19th century. It contrasts with infinitesimal analysis, both the less-than-rigorous analysis that...