CZ:Core Articles/Mathematics: Difference between revisions

From Citizendium
Jump to navigation Jump to search
imported>Paul Wormer
No edit summary
imported>Peter Lyall Easthope
m (An algebra is an instance of a category; not _vice versa_.)
Line 104: Line 104:
# <small>''Diff. eqns''</small>      [[Boundary value problem]]
# <small>''Diff. eqns''</small>      [[Boundary value problem]]
#                                    [[K-theory]]
#                                    [[K-theory]]
#                                    [[Category theory]]
#                                    [[Algebra]] (2)
#                                    [[Algebra]] (2)
# <small>''Algebra''</small>          [[Cauchy-Schwarz inequality]]
# <small>''Algebra''</small>          [[Cauchy-Schwarz inequality]]
Line 116: Line 117:
# <small>''Algebra''</small>          [[Lie group]]
# <small>''Algebra''</small>          [[Lie group]]
# <small>''Algebra''</small>          [[Lie algebra]]
# <small>''Algebra''</small>          [[Lie algebra]]
# <small>''Algebra''</small>          [[Category theory]]
#                                    [[Linear algebra]]
#                                    [[Linear algebra]]
# <small>''Linear alg.''</small>      [[System of linear equations]] (2)
# <small>''Linear alg.''</small>      [[System of linear equations]] (2)

Revision as of 18:50, 31 May 2009

This page lists links to entries identified as CZ:Core_Articles in mathematics.

Current status on the CZ progress scale: Stage 3

(10) = worth this number of points   * = external, to replace or rewrite   ** = micro-stub

  1. Mathematics (10) *
  2. Elementary Number (10)
  3. Elementary Integer *
  4. Elementary Fraction (2)
  5. Elementary Addition (2)
  6. Elementary Multiplication
  7. Elementary Exponentiation
  8. Elementary Rational function
  9. Elementary Linear equation
  10. Elementary Quadratic equation (2)
  11. Elementary Cubic equation
  12. Geometry Angle
  13. Geometry Triangle
  14. Geometry Circle (5)
  15. Geometry Pythagoras' theorem
  16. Geometry Conic sections
  17. Geometry Parabola
  18. Geometry Sphere
  19. Geometry Cone
  20. Geometry Platonic solid
  21. Geometry Euclidean geometry (2) **
  22. Geometry Differential geometry
  23. Geometry Algebraic geometry
  24. Geometry Homology
  25. Geometry Poincaré conjecture (2)
  26. Topology (5)
  27. Topology Borel set
  28. Topology Cantor set (2)
  29. Calculus Trigonometry
  30. Calculus Trigonometric function *
  31. Calculus Inverse trigonometric function
  32. Calculus Cartesian coordinates
  33. Calculus Polar coordinate
  34. Calculus e
  35. Calculus Exponential function
  36. Calculus Special functions
  37. Calculus Limit (5)
  38. Calculus Differential calculus
  39. Calculus Derivative (5)
  40. Calculus Chain rule
  41. Calculus Partial derivative
  42. Calculus Jacobian matrix
  43. Calculus Fundamental Theorem of Calculus
  44. Calculus Convolution
  45. Analysis (2)
  46. Analysis Mean value theorem
  47. Analysis Taylor's theorem
  48. Analysis Harmonic analysis
  49. Analysis Harmonic function
  50. Analysis Fourier transform
  51. Analysis Laplace transform
  52. Analysis Jensen's inequality
  53. Analysis Approximation theory
  54. Analysis Borel measure
  55. Analysis Lebesgue measure
  56. Analysis Lebesgue integral
  57. Analysis Riemann integral (2)
  58. Compl. anal. de Moivre's identity
  59. Compl. anal. Euler formula (5)
  60. Compl. anal. Complex logarithm
  61. Compl. anal. Complex exponentiation
  62. Compl. anal. Holomorphic function (2)
  63. Compl. anal. Cauchy–Riemann equations
  64. Compl. anal. Pole (mathematics)
  65. Compl. anal. Meromorphic function
  66. Compl. anal. Residue

  1. Compl. anal. Cauchy's integral theorem
  2. Compl. anal. Cauchy's integral formula
  3. Compl. anal. Contour integral
  4. Compl. anal. Analytic continuation
  5. Compl. anal. Riemann hypothesis (2)
  6. Functional analysis (2)
  7. Func. anal. Banach space
  8. Func. anal. Hilbert space
  9. Func. anal. Lp space
  10. Func. anal. Hölder's inequality
  11. Func. anal. Dirac delta function
  12. Func. anal. Distribution (mathematics)
  13. Func. anal. Tempered distribution
  14. Func. anal. Sobolev space
  15. Func. anal. Operator theory
  16. Func. anal. Dual space
  17. Func. anal. Adjoint
  18. Func. anal. Self-adjoint operator
  19. Func. anal. Riesz representation theorem
  20. Func. anal. Baire category theorem
  21. Diff. eqns Ordinary differential equation (5)
  22. Diff. eqns Linear differential equation
  23. Diff. eqns First order ordinary differential equation
  24. Diff. eqns Partial differential equation (2)
  25. Diff. eqns Laplace equation
  26. Diff. eqns Poisson's equation
  27. Diff. eqns Wave equation
  28. Diff. eqns Poisson kernel
  29. Diff. eqns Dirichlet problem
  30. Diff. eqns Boundary value problem
  31. K-theory
  32. Category theory
  33. Algebra (2)
  34. Algebra Cauchy-Schwarz inequality
  35. Algebra Quadratic form
  36. Algebra Group (mathematics) (5) *
  37. Algebra Permutation group
  38. Algebra Group representation
  39. Algebra Abelian group -- Barry R. Smith
  40. Algebra Field theory
  41. Algebra Galois theory
  42. Algebra Abel–Ruffini theorem
  43. Algebra Lie group
  44. Algebra Lie algebra
  45. Linear algebra
  46. Linear alg. System of linear equations (2)
  47. Linear alg. Gaussian elimination
  48. Linear alg. Gram-Schmidt orthogonalization
  49. Linear alg. Basis (mathematics) (2)
  50. Matrix theory Matrix
  51. Matrix theory Matrix multiplication
  52. Matrix theory Matrix inverse
  53. Matrix theory Determinant
  54. Matrix theory Eigenvalue
  55. Matrix theory Spectral theorem
  56. Matrix theory Stochastic matrix
  57. Set theory (2)
  58. Set theory Union
  59. Set theory Intersection
  60. Set theory Cartesian product
  61. Set theory Equivalence relation (10)
  62. Set theory Supremum and infimum
  63. Set theory Russell's paradox
  64. Set theory Banach–Tarski paradox
  65. Set theory Continuum
  66. Set theory Continuum hypothesis

  1. Set theory Axiom of choice
  2. Set theory Cardinality - Ashley J. Ballard
  3. Set theory Aleph-0
  4. Set theory Function (5)
  5. Set theory Bijection
  6. Set theory Function composition
  7. Set theory Inverse function
  8. Mathematical logic
  9. Logic Mathematical proof (10)
  10. Logic Proof by contradiction
  11. Logic Gödel's incompleteness theorem
  12. Logic Boolean algebra
  13. Logic Philosophy of mathematics (2)
  14. Probability theory (5)
  15. Probability Statistics (2)
  16. Probability Statistical hypothesis testing
  17. Probability Mean (2)
  18. Probability Variance
  19. Probability Covariance
  20. Probability Moment (mathematics)
  21. Probability Moment-generating function
  22. Probability Bayes Theorem
  23. Probability Central limit theorem
  24. Probability Cauchy distribution
  25. Probability Normal distribution *
  26. Probability Stochastic calculus
  27. Probability Itô calculus
  28. Probability Stochastic differential equation
  29. Probability Chapman–Kolmogorov equation
  30. Probability Stochastic process *
  31. Probability Martingale
  32. Probability Lévy process
  33. Probability Markov chain
  34. Probability Poisson process
  35. Probability Random walk
  36. Applied Dynamical system
  37. Applied Ergodic theory
  38. Applied Game theory
  39. Applied Mathematical model (5)
  40. Applied Numerical analysis
  41. Applied Optimization (mathematics)
  42. Applied Variational calculus
  43. Discrete mathematics
  44. Discr. maths Graph theory (2)
  45. Discr. maths Four color theorem
  46. Discr. maths Binomial coefficient
  47. Discr. maths Ramsey theory
  48. Number theory Perfect number -- Barry R. Smith
  49. Number theory Modular arithmetic -- Barry R. Smith
  50. Number theory Chinese remainder theorem
  51. Number theory Fermat's last theorem (2) -- Barry R. Smith
  52. History of mathematics (10)
  53. History Augustin Louis Cauchy
  54. History Pierre-Simon Laplace
  55. History Joseph Fourier
  56. History Euclid
  57. History Leonhard Euler
  58. History Carl Friedrich Gauss
  59. History David Hilbert
  60. History Gottfried Leibniz
  61. History Bernhard Riemann
  62. History John von Neumann
  63. History Blaise Pascal
  64. History Siméon Denis Poisson
  65. History Henri Poincaré
  66. History Fields medal

Already-written core articles in this workgroup

(Core Article points not available for these articles.)

  1. Elementary Logarithm
  2. Elementary Real number
  3. Elementary Polynomial
  4. Geometry
  5. Geometry Line (geometry)
  6. Geometry Manifold (geometry)
  7. Geometry Elliptic curve
  8. Topology Open set
  9. Topology Compact set
  10. Topology Continuity

  1. Topology Topological space
  2. Calculus Integral
  3. Calculus Pi
  4. Analysis Sequence
  5. Analysis Series (mathematics)
  6. Analysis Fundamental Theorem of Algebra
  7. Analysis Measure (mathematics)
  8. Complex analysis
  9. Compl. anal. Complex number

  1. Differential equation
  2. Algebra Ring (mathematics)
  3. Linear alg. Vector space
  4. Set theory Set
  5. Logic Mathematical induction
  6. Number theory
  7. Number theory Prime number
  8. Applied Cryptography
  9. Applied Fractal