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Mathematics, 255

see alsoScientists, inventors and mathematicians

Basics, 49

1. Mathematics
2. Mathematician
3. Arithmetic
   1. Addition
   2. Division
      1. Euclidean algorithm
   3. Fraction
   4. Modular arithmetic
   5. Multiplication
   6. Percentage
   7. Subtraction
4. Conjecture
5. Constant
   1. 0 (number)
   2. 1 (number)
   3. −1 (number)
   4. Pi
   5. e
   6. Golden ratio
6. Digit
7. Equation
   1. Equation solving
   2. Polynomial
   3. Quadratic equation
   4. Series
8. Factorial
   1. Gamma function
9. Formula
10. Function
    1. Exponentiation
    2. Exponential function
    3. Function composition
    4. Logarithm
    5. Square root
11. Hilbert's problems
12. Number
    1. Complex number
    2. Imaginary number
    3. Integer
    4. Natural number
    5. Rational number
    6. Real number
13. Theorem
    1. Pythagorean theorem
14. Trigonometry
    1. Inverse trigonometric functions
    2. Trigonometric functions
    3. Hyperbolic function
15. Variable (mathematics)

Algebra, 37

1. Algebra
2. Abstract algebra
   1. Algebraic topology
      1. Sheaf
   2. Associative property
   3. Commutative algebra
   4. Commutative property
   5. Distributive property
   6. Field (mathematics)
   7. Fundamental theorem of algebra
   8. Group
      1. Abelian group
      2. Classification of finite simple groups
      3. Fundamental group
      4. Group representation
      5. Group theory
   9. Homological algebra
   10. Isomorphism
   11. Module
   12. Representation theory
   13. Ring theory
       1. Commutative ring
       2. Field theory
       3. Galois theory
       4. Ring
3. Algebraic geometry
   1. Algebraic variety
4. Boolean algebra
5. Elementary algebra
   1. Linear equation
6. Linear algebra
   1. Gaussian elimination
   2. Matrix
      1. Determinant
      2. Eigenvalues and eigenvectors
   3. Vector space
      1. Euclidean vector

Calculus and analysis, 35

1. Calculus
   1. Fundamental theorem of calculus
   2. Differential calculus
      1. Derivative
      2. Differential equation
      3. Ordinary differential equation
   3. Integral
   4. Limit
      1. Infinity
      2. Limit of a sequence
      3. Sequence
   5. Multivariable calculus
      1. Multiple integral
      2. Partial derivative
         1. Laplace's equation
         2. Partial differential equation
      3. Vector calculus
   6. Taylor series
2. Analysis
   1. Approximation theory
   2. Numerical analysis
   3. Complex analysis
      1. Cauchy's integral formula
      2. Euler's formula
      3. Euler's identity
      4. Holomorphic function
      5. Riemann surface
   4. Functional analysis
      1. Hilbert space
   5. Harmonic analysis
      1. 1. Fourier analysis
         2. Fourier series
         3. Fourier transform
   6. Real analysis
   7. Variational calculus

Discrete mathematics, 21

1. Discrete mathematics
2. Combinatorics
3. Graph theory
   1. Four color theorem
   2. Graph
4. Logic
   1. Axiom
   2. Computability theory
      1. Computable function
   3. Gödel's incompleteness theorems
   4. Induction
   5. Proof
   6. Propositional calculus
5. Set theory
   1. Axiom of choice
   2. Cantor's theorem
   3. Empty set
   4. Equivalence relation
   5. Naive set theory
      1. Russell's paradox
   6. Set

Geometry, 48

1. Geometry
2. Analytic geometry
3. Angle
4. Convex set
5. Coordinate system
   1. Cartesian coordinate system
   2. Polar coordinate system
6. Differential geometry
   1. Atiyah–Singer index theorem
   2. Riemannian geometry
7. Dimension
8. Area
9. Length
10. Line
11. Volume
    1. Plane (geometry)
    2. Three-dimensional space
    3. Two-dimensional space
12. Euclidean geometry
    1. Euclidean space
13. Fractal
14. Metric space
15. Non-Euclidean geometry
16. Point
17. Symmetry
18. Tensor
19. Topology
    1. Compact space
    2. Euler characteristic
    3. General topology
    4. Homology theory
    5. Homotopy
    6. Knot theory
    7. Manifold
    8. Open set
    9. Poincaré conjecture
    10. Topological space

Shape

1. Conic section
   1. Circle
   2. Ellipse
   3. Parabola
   4. Hyperbola
2. Polygon
   1. Square
      1. Triangle
3. Polyhedron
   1. Cube
4. Sphere

Other, 29

1. Applied mathematics
   1. Information theory
   2. Mathematical optimization
      1. Linear programming
      2. Nonlinear programming
   3. Game theory
2. Category theory
3. Dynamical systems theory
   1. Dynamical system
      1. Linear dynamical system
      2. Nonlinear system
   2. Control theory
4. Number theory
   1. Algebraic number theory
      1. Algebraic number field
      2. Class field theory
   2. Analytic number theory
      1. Riemann hypothesis
   3. Diophantine equation
      1. Fermat's Last Theorem
   4. Fundamental theorem of arithmetic
   5. Prime number
      1. Prime number theorem
5. Pure mathematics
6. Theoretical computer science
   1. Computational complexity theory
      1. P versus NP problem
   2. Theory of computation
      1. Algorithm

Probability and statistics, 36

1. Probability
   1. Probability theory
   2. Bayes' theorem
   3. Central limit theorem
   4. Expected value
   5. Law of large numbers
   6. Markov chain
   7. Probability density function
   8. Probability distribution
      1. Binomial distribution
      2. Exponential distribution
      3. Normal distribution
      4. Poisson distribution
      5. Uniform distribution
   9. Random variable
   10. Stochastic process
   11. Variance
2. Statistics
   1. Bayesian inference
   2. Correlation and dependence
      1. Regression
         1. Least squares
   3. Design of experiments
      1. Randomized controlled trial
   4. Mean
   5. Observational study
   6. Standard deviation
   7. Standard error
   8. Test of hypothesis
      1. P value
      2. Chi-squared test
      3. Student's t-test
   9. Survey
      1. Convenience sample
      2. Population
      3. Random sample