area of mathematics
grouping by subject of mathematics
differential calculus
subfield of calculus
integral calculus
subfield of calculus
chaos theory
field of mathematics about dynamical systems highly sensitive to initial conditions
functional analysis
branch of mathematical analysis concerned with infinite-dimensional topological vector spaces, often spaces of functions
functional analysis
branch of mathematical analysis concerned with infinite-dimensional topological vector spaces, often spaces of functions
algebraic topology
branch of mathematics
non-Euclidean geometry
two geometries based on axioms closely related to those specifying Euclidean geometry
general topology
branch of topology dealing with general topological spaces
type theory
concept in mathematical logic and computer science
computational mathematics
area of mathematics
actuarial science
discipline that applies mathematical and statistical methods to assess risk in the insurance and finance industries
determinacy
subfield of set theory,that examines the conditions under which one or the other player of a game has a winning strategy, and the consequences of the existence of such strategies; (alternatively) property of a game whereby such a strategy exists
stochastic calculus
calculus on stochastic processes
Kummer theory
mathematical theory describing field extensions involving the adjunction of nth roots
convex geometry
branch of geometry that studies convex sets
complex geometry
study of complex manifolds and several complex variables
singularity theory
branch of mathematics which studies the limit cases of manifold structures
ergodic theory
branch of mathematics that studies dynamical systems
job-shop scheduling
branch of discrete mathematics
control theory
branch of engineering and mathematics that deals with the behavior of dynamical systems with inputs, and how their behavior is modified by feedback
small cancellation theory
subfield of group theory about groups given by presentations whose defining relations have small overlaps with each other
spin geometry
area of differential geometry and topology studying spin manifolds, spinor fields, Dirac operators, and various associated index theorems
low-dimensional topology
branch of topology that studies topological spaces of four or fewer dimensions
geometric mechanics
branch of Mathematics
idempotent analysis
area of mathematics
lunar arithmetic
version of arithmetic in which the addition and multiplication operations on digits are defined as the max and min operations
graph theory
study of graphs, which are mathematical structures used to model pairwise relations between objects
analytic geometry
study of geometry using a coordinate system
complex analysis
branch of mathematics studying functions of a complex variable
descriptive set theory
study of well-behaved subsets of Polish spaces
descriptive geometry
branch of geometry which allows the representation of three-dimensional objects in two dimensions
multilinear algebra
branch of mathematics
fractional calculus
branch of mathematical analysis with fractional applications of derivatives and integrals
symbolic dynamics
subfield in mathematics
digital geometry
branch of mathematics
spectral graph theory
the study of the properties of a graph in relationship to matrices associated with the graph
topological data analysis
analysis of datasets using techniques from topology
arithmetic topology
area of mathematics that is a combination of algebraic number theory and topology
deformation theory
branch of mathematics studying infinitesimal conditions associated with varying a solution 𝑃 of a problem to slightly different solutions 𝑃_𝜀, where 𝜀 is a small number or vector
fuzzy mathematics
Branch of mathematics
mass point geometry
geometry problem-solving technique which applies the physical principle of the center of mass to geometry problems involving triangles and intersecting cevians
visual calculus
visual mathematical proofs
measure theory
branch of mathematics studing measure and measurable spaces