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Derived from the LC Classification Outline and the Library of Congress Classification. Q. Science (1996), this list presents the major classification headings in mathematics as well as selected sub-classifications.

**QA1-145: Mathematics (General). Elementary mathematics. Arithmetic**

- QA8: Mathematics - Philosophy
- QA9-10: Mathematical logic
- QA11-20: Mathematics - Study and teaching
- QA21-30: Mathematics - History
- QA75.5-76.95: Computer science
- QA95: Mathematical recreations
- QA101-145: Elementary mathematics. Arithmetic

**QA150-272.5 Algebra**

- QA162: Abstract algebra
- QA164-167.2: Combinatorics (including Graph theory)
- QA169: Homological algebra
- QA174-183: Group theory
- QA184-205: Linear and multilinear algebras. Matrices
- QA211-218: Theory of equations
- QA221-224: Approximation theory
- QA241-247.5: Number theory
- QA267-268.5: Machine theory. Abstract machines. Abstract automata

**QA273-299.4 Probabilities. Mathematical statistics. Numerical analysis**

- QA273: Probabilities
- QA274: Stochastic processes
- QA276-280: Mathematical statistics
- QA297-299.4: Numerical analysis

**QA299.6-433 Analysis**

- QA303-316: Calculus
- QA319-329: Functional analysis
- QA331-355: Theory of functions
- QA370-380: Differential equations
- QA401-425: Analytical methods used in the solution of physical problems (including Mathematical optimization)

**QA440-699 Geometry. Trigonometry. Topology**

- QA451-469: Elementary geometry
- QA471: Projective geometry
- QA501-521: Descriptive geometry
- QA531-538: Trigonometry
- QA551-563: Analytic geometry
- QA564-609: Algebraic geometry
- QA611-614 Topology (including Manifolds and cell complexes)
- QA615-639: Infinitesimal geometry
- QA641-670: Differential geometry

**QA801-939 Analytic mechanics**

- QA821-835: Statics
- QA841-842: Kinematics
- QA843-871: Dynamics
- QA901-930: Fluid mechanics
- QA931-939: Elasticity. Plasticity