mathematical theory
mathematical model that is based on axioms
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
provability logic
modal logic
stochastic calculus
calculus on stochastic processes
Landau theory
a theory that Lev Landau introduced in an attempt to formulate a general theory of continuous (i.e., second-order) phase transitions
Ideal theory
mathematical theory in commutative rings
singularity theory
branch of mathematics which studies the limit cases of manifold structures
perfect obstruction theory
theory in algebraic geometry
information theory
mathematical theory from the field of probability theory and statistics
complex analysis
branch of mathematics studying functions of a complex variable
model theory
study of classes of mathematical structures from the perspective of mathematical logic
calculus ratiocinator
theoretical universal logical calculation framework
coding theory
study of the properties of codes and their fitness for a specific application according to its environment constraints
real analysis
branch of mathematical analysis
field theory
theory in mathematics
triangle geometry
geometrical properties of a triangle
internal set theory
formalism that provides an axiomatic basis for nonstandard analysis where, rather than adding new elements to the reals, the axiomatic foundations are modified through syntactic enrichment
infinite compositions of analytic functions
mathematical theory about infinitely iterated function composition
measure theory
branch of mathematics studing measure and measurable spaces
elementary algebra
basic concepts of algebra of the real and complex numbers
algebraic number theory
major branch of number theory
percolation theory
mathematical theory concerning the behavior of connected clusters in a random graph
ring theory
branch of abstract algebra in mathematics
combinatorial group theory
theory of free groups, and the concept of a presentation of a group by generators and relations.
complex analysis in several variables
the study of functions that depend differentiably on several complex variables
coherent duality
generalisations of Serre duality in mathematics
Tight closure
concept in commutative algebra
Kalman decomposition
mathematical Theory
topology
branch of mathematics
differential geometry
branch of mathematics dealing with functions and geometric structures on differentiable manifolds
Lie theory
study of Lie groups, Lie algebras and differential equations
Cavalieri's principle
modern implementation of the method of indivisibles
commutative algebra
branch of algebra that studies commutative rings
group theory
branch of mathematics that studies the algebraic properties of groups
scattering theory
method for studying scattering of waves and particles
Ramsey theory
branch of mathematics
nonstandard analysis
alternative formulation of calculus using a logically rigorous notion of infinitesimal numbers
probability theory
branch of mathematics concerning probability
shape theory
branch of topology
Tate's thesis
mathematic theory
algebra
part of mathematics in which letters and other symbols are used to represent numbers and quantities in formulae and equation
mathematical analysis
branch of mathematics
set theory
branch of mathematics that studies sets, which are collections of objects
discrete mathematics
study of discrete mathematical structures
modal logic
formal logic able to express concepts such as necessity, possibility, provability, obligation, knowledge etc.
knot theory
study of mathematical knots