Mathematics Branches and Kinds


 * addition algebra
 * affine geometry
 * algebra
 * algebraic geometry
 * algebraic topology
 * analysis
 * analytic geometry
 * applied mathematics
 * arithmetic
 * associative algebra
 * binary arithmetic
 * Boolean algebra
 * calculus
 * calculus of differences
 * calculus of variations
 * category theory
 * circle geometry
 * combinatorial analysis
 * combinatorial mathematics or combinatorics
 * combinatorial topology
 * commutative algebra
 * complex algebra or double algebra
 * complex analysis
 * control theory
 * denumerative geometry
 * descriptive geometry
 * differential calculus
 * differential geometry
 * division algebra
 * elementary algebra or ordinary algebra
 * elementary arithmetic
 * equivalent algebras
 * Euclidean geometry
 * field theory
 * financial mathematics
 * Fourier analysis
 * functional analysis
 * game theory
 * G-del's proof
 * general topology or point set topology
 * geodesic geometry
 * geodesy
 * geometry
 * graph theory
 * graphic algebra
 * group theory
 * harmonic analysis
 * higher algebra
 * higher arithmetic
 * homological algebra
 * hyperalgebra
 * hyperbolic geometry
 * infinitesimal calculus
 * integral calculus
 * intuitional geometry
 * invariant subalgebra
 * inverse geometry
 * Lagrangian function
 * Laplace's equation
 * line geometry
 * linear algebra
 * mathematical biology
 * mathematical biophysics
 * mathematical computing
 * mathematical ecology
 * mathematical geography
 * mathematical logic
 * mathematical physics
 * matrix algebra
 * matrix theory
 * measure theory
 * metageometry
 * modular arithmetic
 * multiple algebra
 * natural geometry
 * nilpotent algebra
 * noncommutative algebra
 * non-Euclidean geometry
 * non-standard analysis
 * n-tuple linear algebra
 * number theory
 * numerical analysis
 * operational calculus
 * operations research
 * P-adic analysis
 * plane geometry
 * plane trigonometry
 * point-set topology
 * political arithmetic
 * potential theory
 * probability theory
 * projective geometry
 * proper subalgebra
 * pure mathematics
 * quadratics
 * quaternian algebra
 * reducible algebra
 * reverse mathematics
 * Riemannian geometry
 * semisimple algebra
 * set theory
 * simple algebra
 * solid geometry
 * speculative geometry
 * sphere geometry
 * spherical trigonometry
 * statistics
 * Stochastic calculus
 * subalgebra
 * systems analysis or systems theory
 * topology
 * trigonometry or trig
 * universal algebra
 * universal geometry
 * vector algebra
 * zero algebra