Calculus Updated 2025-07-16
Well summarized as "the branch of mathematics that deals with limits".
Evil Updated 2025-07-16
Things that are not nice such as:
Infinitesimal Updated 2025-07-16
Just use limit instead, please. The French are particularly guilty of this.
Topology Updated 2025-07-16
Just by havin the notion of neighbourhood, concepts such as limit and continuity can be defined without the need to specify a precise numerical value to the distance between two points with a metric.
As an example. consider the orthogonal group, which is also naturally a topological space. That group does not usually have a notion of distance defined for it by default. However, we can still talk about certain properties of it, e.g. that the orthogonal group is compact, and that the orthogonal group has two connected components.