Detail of Discipline of MATHEMATICS


Subjects of the discipline


Algebra
Group theory
Group representation
Ring theory
Commutative algebra
Noncommutative algebra
Field theory
Linear algebra / Vector space
Multilinear algebra
Lie algebra
Associative algebra
Non-associative algebra
Universal algebra
Homological algebra
Differential algebra
Lattice theory (Order theory)
Representation theory
K-theory
Category theory
Topos theory
Analysis
Real analysis
Calculus
Complex analysis
Functional analysis
Operator theory
Non-standard analysis
Harmonic analysis
Fourier analysis
p-adic analysis
Ordinary differential equations
Partial differential equations
Probability theory
Measure theory
Integral geometry
Ergodic theory
Stochastic process
Geometry and Topology
General topology
Algebraic topology
Geometric topology
Differential topology
Algebraic geometry
Differential geometry
Projective geometry
Affine geometry
Non-Euclidean geometry
Convex geometry
Discrete geometry
Integral geometry
Noncommutative geometry
Number theory
Analytic number theory
Algebraic number theory
Geometric number theory
Logic and Foundations of mathematics
Set theory
Proof theory
Model theory
Recursion theory
Modal logic
Intuitionistic logic
Applied mathematics
Statistics
Mathematical statistics
Econometrics
Actuarial science
Demography
Approximation theory
Numerical analysis
Operations research
Mathematical optimization
Linear programming
Dynamic programming
Assignment problem
Decision analysis
Inventory theory
Scheduling
Real options analysis
Systems analysis
Stochastic processes
Optimal maintenance
Dynamical systems
Chaos theory
Fractal geometry
Mathematical physics
Quantum mechanics
Quantum field theory
Quantum gravity
String theory
Statistical mechanics
Theory of computation
Computational complexity theory
Information theory
Cryptography
Combinatorics
Coding theory
Graph theory
Game theory

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