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
continuous metric space valued function on compact metric space is uniformly continuous
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Riemann integration, Lebesgue integration
line integral/contour integration
integration of differential forms
integration over supermanifolds, Berezin integral, fermionic path integral
Kontsevich integral, Selberg integral, elliptic Selberg integral
integration in ordinary differential cohomology
integration in differential K-theory
Integral calculus is one of the two halves of the infinitesimal calculus, the other being differential calculus. (The two are linked by the fundamental theorem of calculus.)
Integral calculus describes integration of sufficiently well-behaved functions.
Richard Courant: Differential & Integral Calculus, 2 volumes (1936) [vol1: ISBN:978-1-118-03149-0, ark:/13960/t4fn6m190, vol2: ISBN:978-0-471-60840-0, ark:/13960/t2g82wq0c, pdf]
Wikipedia: Calculus
Last revised on August 28, 2024 at 16:33:49. See the history of this page for a list of all contributions to it.