User:Waterbug89/Books/math subj categorization msc; mathscinet; zbmath

with further extensions of the maths varied subject-based topics, glossaries and outlines: a reference

 * Mathematics Subject Classification


 * First Level class of all Math Journal Topics
 * First Level: General/foundations [Study of foundations of mathematics and logic]
 * Recreational mathematics
 * Philosophy of mathematics
 * Mathematical model
 * History of mathematics
 * Lists of mathematicians
 * Mathematical logic
 * Foundations of mathematics
 * Model theory
 * Computability theory
 * Set theory
 * Proof theory
 * Algebraic logic


 * First Level: Discrete mathematics/algebra [Study of structure of mathematical abstractions]
 * Combinatorics
 * Order theory
 * Algebraic structure
 * Number theory
 * Field (mathematics)
 * Polynomial
 * Commutative ring
 * Commutative algebra
 * Algebraic geometry
 * Linear algebra
 * Multilinear algebra
 * Matrix (mathematics)
 * Ring (mathematics)
 * Associative algebra
 * Non-associative algebra
 * Category theory
 * Homological algebra
 * K-theory
 * Group theory
 * Topological group
 * Lie group


 * First Level: Analysis [Study of change and quantity]
 * Real-valued function
 * Derivative
 * Integral
 * Measure (mathematics)
 * Complex-valued function
 * Approximation theory
 * Complex number
 * Potential theory
 * Several complex variables
 * Analytic space
 * Special functions
 * Ordinary differential equation
 * Partial differential equation
 * Dynamical system
 * Ergodic theory
 * Recurrence relation
 * Functional equation
 * Sequence
 * Series (mathematics)
 * Divergent series
 * Harmonic analysis
 * Fourier analysis
 * Fourier transform
 * Fourier series
 * Trigonometric interpolation
 * Orthogonal functions
 * Integral transform
 * Operational calculus
 * Integral equation
 * Functional analysis
 * Infinite-dimensional holomorphy
 * Distribution (mathematics)
 * Operator theory
 * Calculus of variations
 * Optimal control
 * Mathematical optimization
 * Homological integration


 * First Level: Geometry and topology [Study of space]
 * Geometry
 * Convex geometry
 * Discrete geometry
 * Differential geometry
 * General topology
 * Algebraic topology
 * Manifold
 * Global analysis


 * First Level: Applied mathematics / other [Study of applications of mathematical abstractions]
 * Applied mathematics
 * Probability theory
 * Stochastic process
 * Statistics
 * Numerical analysis
 * Mechanics
 * Fluid mechanics
 * Optics
 * Maxwell's equations
 * Thermodynamics
 * Heat transfer
 * Quantum mechanics
 * Statistical mechanics
 * Theory of relativity
 * Gravity
 * Relativistic mechanics
 * Astronomy
 * Astrophysics
 * Geophysics
 * Operations research
 * Game theory
 * Mathematical economics
 * Mathematical sociology
 * Mathematical psychology
 * Biology
 * Natural science
 * Systems theory
 * Information
 * Communication
 * Electrical network
 * Mathematics education


 * See Also
 * Areas of mathematics
 * Glossary of areas of mathematics
 * Glossary of calculus
 * Glossary of chemistry terms
 * Glossary of engineering
 * Glossary of physics
 * Glossary of probability and statistics


 * A First Course: Notation in PandS, List of Statistics/Probability Topics and Articles
 * Notation in probability and statistics
 * List of statistics articles
 * List of probability topics


 * A First Course: Outline of the Maths
 * Outline of mathematics
 * Lists of mathematics topics


 * The Four Divisions of the Maths Body- Applied is the missing but previously mentioned 4th
 * Discrete mathematics
 * Computational mathematics
 * Pure mathematics