The main purpose of the classification of items in the mathematical literature using the Mathematics Subject Classification scheme is to help users find the items of present or potential interest to them as readily as possible. The MSC is a hierarchical scheme, with three levels of structure. A classification can be two, three or five digits long, depending on how many levels of the classification scheme are used. The first level representing the main mathematical disciplines is labeled by a two digit number, the second representing specific areas is labeled by a letter (or a hyphen), and the third level for specific kind of mathematical object or a well-known problem or research area is labeled by another two digit number.

  1. 00-XX General
  2. 01-XX History and biography
  3. 03-XX Mathematical logic and foundations
  4. 05-XX Combinatorics
  5. 06-XX Order, lattices, ordered algebraic structures
  6. 08-XX General algebraic systems
  7. 11-XX Number theory
  8. 12-XX Field theory and polynomials
  9. 13-XX Commutative algebra
  10. 14-XX Algebraic geometry
  11. 15-XX Linear and multilinear algebra; matrix theory
  12. 16-XX Associative rings and algebras
  13. 17-XX Nonassociative rings and algebras
  14. 18-XX Category theory; homological algebra
  15. 19-XX K -theory
  16. 20-XX Group theory and generalizations
  17. 22-XX Topological groups, Lie groups
  18. 26-XX Real functions
  19. 28-XX Measure and integration
  20. 30-XX Functions of a complex variable
  21. 31-XX Potential theory
  22. 32-XX Several complex variables and analytic spaces
  23. 33-XX Special functions ( deals with the properties of functions as functions)
  24. 34-XX Ordinary differential equations
  25. 35-XX Partial differential equations
  26. 37-XX Dynamical systems and ergodic theory
  27. 39-XX Difference and functional equations
  28. 40-XX Sequences, series, summability
  29. 41-XX Approximations and expansions
  30. 42-XX Harmonic analysis on Euclidean spaces
  31. 43-XX Abstract harmonic analysis
  32. 44-XX Integral transforms, operational calculus
  1. 45-XX Integral equations
  2. 46-XX Functional analysis
  3. 47-XX Operator theory
  4. 49-XX Calculus of variations and optimal control; optimization
  5. 51-XX Geometry
  6. 52-XX Convex and discrete geometry
  7. 53-XX Differential geometry
  8. 54-XX General topology
  9. 55-XX Algebraic topology
  10. 57-XX Manifolds and cell complexes
  11. 58-XX Global analysis, analysis on manifolds
  12. 60-XX Probability theory and stochastic processes
  13. 62-XX Statistics
  14. 65-XX Numerical analysis
  15. 68-XX Computer science
  16. 70-XX Mechanics of particles and systems
  17. 74-XX Mechanics of deformable solids
  18. 76-XX Fluid mechanics
  19. 78-XX Optics, electromagnetic theory
  20. 80-XX Classical thermodynamics, heat transfer
  21. 81-XX Quantum theory
  22. 82-XX Statistical mechanics, structure of matter
  23. 83-XX Relativity and gravitational theory
  24. 85-XX Astronomy and astrophysics
  25. 86-XX Geophysics
  26. 90-XX Operations research, mathematical programming
  27. 91-XX Game theory, economics, social and behavioral sciences
  28. 92-XX Biology and other natural sciences
  29. 93-XX Systems theory; control
  30. 94-XX Information and communication, circuits
  31. 97-XX Mathematics education