02. Mathematical methods in physics
02.10.-v Logic, set theory, and algebra
02.10.By Logic and foundations
02.10.Cz Set theory
02.10.Eb Combinatorics
02.10.Gd Order, lattices, and ordered algebraic structures
02.10.Jf General mathematical systems
02.10.Lh Number theory
02.10.Nj Algebraic number theory, field theory, and polynomials
02.10.Pk Commutative rings and algebras
02.10.Rn Algebraic geometry
02.10.Sp Linear and multilinear algebra; matrix theory (finite and infinite)
02.10.Tq Associative rings and algebras
02.10.Vr Nonassociative rings and algebras
02.10.Ws Category theory and homological algebra
02.20.-a Group theory (for algebraic methods in quantum mechanics, see 03.65.F;
for symmetries in elementary particle physics, see 11.30)
02.20.Df Finite groups
02.20.Fh Infinite groups
02.20.Hj Classical linear algebraic groups
02.20.Km Abelian groups
02.20.Mp Semigroups
02.20.Nq Topological groups, general
02.20.Qs General properties, structure, and representation of Lie groups
02.20.Rt Discrete subgroups of Lie groups
02.20.Sv Lie algebras of Lie groups
02.20.Tw Infinite-dimensional Lie groups
02.30.-f Function theory, analysis
02.30.Bi Real functions
02.30.Cj Measure and integration
02.30.Dk Functions of a complex variable
02.30.Em Potential theory
02.30.Fn Several complex variables and analytic spaces
02.30.Gp Special functions
02.30.Hq Ordinary differential equations
02.30.Jr Partial differential equations
02.30.Ks Delay and functional equations
02.30.Lt Sequences, series, and summability
02.30.Mv Approximations and expansions
02.30.Nw Fourier analysis
02.30.Px Abstract harmonic analysis
02.30.Qy Integral transforms and operational calculus
02.30.Rz Integral equations
02.30.Sa Functional analysis
02.30.Tb Operator theory
02.30.Wd Calculus of variations and optimal control
02.40.-k Geometry, differential geometry, and topology (see also 04 Relativity
and gravitation)
02.40.Dr Euclidean and projective geometries
02.40.Ft Convex sets and geometric inequalities
02.40.Hw Classical differential geometry
02.40.Ky Riemannian geometries
02.40.Ma Global differential geometry
02.40.Pc General topology
02.40.Re Algebraic topology
02.40.Sf Manifolds and cell complexes
02.40.Vh Global analysis and analysis on manifolds
02.50.-r Probability theory, stochastic processes, and statistics (see also 05
Statistical physics)
02.50.Cw Probability theory
02.50.Ey Stochastic processes
02.50.Fz Stochastic analysis
02.50.Ga Markov processes
02.50.Hb Queuing theory
02.50.Kd Foundations of statistics; sufficiency
02.50.Le Decision theory and game theory
02.50.Ng Distribution theory and Monte Carlo studies
02.50.Ph Parametric inference
02.50.Rj Nonparametric inference
02.50.Sk Multivariate analysis
02.50.Vn Linear inference
02.50.Wp Inference from stochastic processes
02.60.-x Numerical approximation and analysis
02.60.Cb Numerical simulation; solution of equations
02.60.Dc Numerical linear algebra
02.60.Ed Interpolation; curve fitting
02.60.Gf Algorithms for functional approximation
02.60.Jh Numerical differentiation and integration
02.60.Lj Ordinary and partial differential equations; boundary value problems
02.60.Nm Integral and integrodifferential equations
02.60.Pn Numerical optimization
02.70.-c Computational techniques
02.70.Bf Finite-difference methods
02.70.Dh Finite-element and Galerkin methods
02.70.Fj Finite-volume methods
02.70.Hm Spectral methods
02.70.Jn Collocation methods
02.70.Lq Monte Carlo and statistical methods
02.70.Ns Molecular dynamics and particle methods
02.70.Pt Boundary-integral methods
02.70.Rw Other computational methods
02.90.+p Other topics in mathematical methods in physics