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Basic mathematics. This branch is typically taught in secondary education or in the first year of university. Outline of arithmetic. Outline of discrete mathematics. List of calculus topics. List of geometry topics. Outline of geometry. List of trigonometry topics. Outline of trigonometry.
Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating ...
Aitken's delta-squared process — most useful for linearly converging sequences. Minimum polynomial extrapolation — for vector sequences. Richardson extrapolation. Shanks transformation — similar to Aitken's delta-squared process, but applied to the partial sums. Van Wijngaarden transformation — for accelerating the convergence of an ...
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers.It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics, including hydrodynamics, thermodynamics, and electrical engineering.
Oscillation – is the behaviour of a sequence of real numbers or a real-valued function, which does not converge, but also does not diverge to +∞ or −∞; and is also a quantitative measure for that. Indeterminate forms – algebraic expressions gained in the context of limits. The indeterminate forms include 0 0, 0/0, 1 ∞, ∞ − ∞ ...
Pisot–Vijayaraghavan number. Salem number. Transcendental number. e (mathematical constant) pi, list of topics related to pi. Squaring the circle. Proof that e is irrational. Lindemann–Weierstrass theorem. Hilbert's seventh problem.
These are lists of research topics, research problems and current research activities in various scientific areas. Pages in category "Lists of research topics" The following 3 pages are in this category, out of 3 total.
Mathematical fields and topics making important use of group theory. Algebraic geometry. Algebraic topology. Discrete space. Fundamental group. Geometry. Homology. Minkowski's theorem. Topological group.