Wikipedia:WikiProject Mathematics/Assessment

The aim of this page is to co-ordinate work on mathematics articles that could potentially be used for the Wikipedia 1.0 project. See also WP 1.0 Core topics.

Current task

What articles do people feel should be first up for assesement / improvement? Tompw 17:12, 13 April 2006 (UTC)

Legend

Need: The article's importance, regardless of its quality

Top	Subject is a must-have for a print encyclopaedia
Hoch	Subject contributes a depth of knowledge
Mid	Subject fills in more minor details
Niedrig	Subject is peripheral knowledge, possibly trivial

Quality: current article quality

FA	Featured article
GA	This is a good article
A	Article is well written and referenced; close to good article status.
B	We have a decent article, but it needs further editing
Start	Significant cleanup or expansion needed.
Stub	Article missing or miserable, or a stub.

Gradings and mathematical aspects are discussed in detail below.

Core Articles

Article	Need	Rationale	Links	Quality	Kommentare
Mathematics	Top	WP:CORE. Our top-level article	6487
Algebra	Top	WP:CORE		B	Only history, classes, meanings, no examples
Arithmetic	Top	WP:CORE		Start	Needs more content, examples
Geometry	Top	WP:CORE	979	B	Needs refs, C20th section
Information		WP:CORE also covered by Information technology	664
Logic		WP:CORE also covered by Philosophy	898	B	Very good but needs a pic or two. Short but OK because many sub-pages e.g. Mathematical logic
Mathematical proof		WP:CORE (originally as Proof theory)		Start
Measurement	Niedrig	WP:CORE Not really our domain as coved by Science		Start	Needs much more, e.g. errors, precision vs. accuracy, sig figs etc
Number	Top	Listed in WP:CORE		B	Former GA, 4/13/06 - This has been removed from the GA list.
Statistics	Top	WP:CORE	1164	B	GA list Could use more background/historical information
Theorems		WP:CORE originally under Science		Start	unorganized
Trigonometry	Top	WP:CORE		Start	Many one paragraphs, no flow whatsoever.

Articles to include

The following list has been drawn from articles higlighted in Mathematics, and those linked from Portal:Mathematics#Topics in Mathematics. "Major" means the articles should definately be included, and there are currently about 60 of these. "Minor" means there is only a marginal case for inclusion. The list is not meant to be exhaustive or definitivie. Feel free to add articles, or move between minor and major, or split a list into Top/High/Mid/Low as per above. (Please don't delete articles).

Algebra

Article	Need	Quality	Kommentare	Updated
Algebra
Elementary algebra
Abstract algebra
Group theory
Ring theory
Linear algebra
Matrix theory
Order theory

Other : Universal algebra | Field theory | Commutative algebra | Monoid

Other

• Analysis:
  • Major : Analysis | Calculus | Vector calculus | Differential equations | Trigonometry | Dynamical systems | Chaos theory
  • Minor : Calculus of variations | Real analysis | Complex analysis | Functional analysis | Harmonic analysis | Measure theory | Special functions – Fourier analysis – Calculus of variations
• Geometry and Topology:
  • Major : Geometry | Algebraic geometry | Differential geometry | General topology | Algebraic topology | Geometric topology | Differential topology | Fractal geometry
  • Minor : Euclidean geometry | Non-Euclidean geometry | Affine geometry | Projective geometry | Riemannian geometry | Lie groups | Combinatorial geometry | Manifolds
• Applied mathematics:
  • Major : Applied mathematics | Numerical analysis | Probability | Statistics | Chaos theory
  • Minor : Optimization | Operations research | Dynamical systems | Mathematical biology | Financial mathematics | Cryptography | Mathematical economics | Financial mathematics | Mathematics and architecture | Mathematics of musical scales)
• Mathematical physics:
  • Major : Mathematical physics | Classical mechanics | Fluid mechanics
  • Minor : General relativity | Special relativity | Quantum mechanics | String theory | Quantum field theory | Quantum electrodynamics | Quantum chromodynamics | Standard model | Conformal field theory | Statistical mechanics
• Foundations:
  • Major : Foundations of mathematics | Set theory | Mathematical logic | Category theory
  • Minor : Naive set theory | Axiomatic set theory | Proof theory | Model theory | Category theory | Topos theory | Philosophy of mathematics – Intuitionism – Constructivism – Proof theory – Model theory – Reverse mathematics
• Number theory:
  • Major : Number theory | Arithmetic | Numbers | Natural numbers | Prime numbers | Rational numbers | Algebraic numbers | Complex number
  • Minor : Algebraic number theory | Analytic number theory | Hypercomplex numbers – Quaternions – Octonions – Sedenions – Hyperreal numbers – Surreal numbers – Ordinal numbers – Cardinal numbers – p-adic numbers – Integer sequences – Mathematical constants – Number names – Infinity – Base)
• Discrete mathematics:
  • Major : Discrete mathematics | Combinatorics | Graph theory | Game theory | Theory of computation | Cryptography
  • Minor : Discrete geometry | Theoretical computer science | Computability theory | Complexity theory | Information theory
• Theorems and Conjectures:
  • Major : Pythagorean theorem | Fermat's last theorem | Gödel's incompleteness theorems |Fundamental theorem of arithmetic | Fundamental theorem of algebra | Fundamental theorem of calculus | Four color theorem
  • Minor : Cantor's diagonal argument – Zorn's lemma – Euler's identity – classification theorems of surfaces – Gauss-Bonnet theorem – Quadratic reciprocity – Riemann-Roch theorem – Goldbach's conjecture – Twin Prime Conjecture – Riemann hypothesis – Poincaré conjecture – Collatz conjecture – P=NP? – open Hilbert problems
• Allgemein:
  • Major : Mathematics | Areas of mathematics | History of mathematics | Timeline of mathematics
  • Minor : Mathematicians | Philosophy of mathematics | Mathematical notation | Mathematical beauty | Mathematics education | Mathematicians – Fields medal – Abel Prize – Millennium Prize Problems (Clay Math Prize) – International Mathematical Union – Mathematics competitions – Lateral thinking – Mathematical abilities and gender issues

Grading Scheme

(Based on Template:Grading scheme, width additions for maths articles. Feel free to edit in maths-specific notes / criteria).

Article progress grading scheme
FA	Reserved exclusively for articles that have received "Featured article" status after peer review, and meet the current criteria for featured articles. Example: Algorithm
A	The article provides a well-written, reasonably clear and complete description of the topic, as described in How to write a Great Article. It includes a well-written introduction to the topic, and an appropriate series of headings to break up the article. It should have sufficient external literature references, preferably from textbooks or peer-reviewed papers rather than websites. It contain illustrations where apropriate (with no copyright problems). It should be at the stage where it meets the criteria for or is a Good article. Example: Ammonia (as of Oct 2005).
B	The article is "almost there" but it may be missing one of the following: references, balance of content, or an important section. Alternatively, the English may need a comprehensive rewrite to make it flow, or it may need to be edited to follow standard English spelling and conventions. For maths articles, articles which are overly technical and fail to explain the basics would often end up here. Example: Antarctica (as of Oct 2005) is a good start but contains too many lists, and it needs more prose content & references.
Start	The article has a good amount of content, but it is still weak in certain areas, and may lack a table. For example an article on Africa might cover the geography well, but be weak on history and culture. Example: Arithmetic (as of Oct 2005).
Stub	The article is either a very short article or a stub that will need a lot of work to bring it to A-Class level, although there may be a significant amount of material in the article.

Mathematics articles with the most incoming links

All articles with over 100 incoming links can be found in User:Salix alba/maths/top linked maths articles

1. Area - 2491
2. Mathematician - 1949
3. Statistics - 1164
4. Latitude - 1090
5. Geometry - 979
6. Algorithm - 960
7. Longitude - 910
8. Frequency - 901
9. Logic - 898
10. Real number - 881
11. Function (mathematics) - 788
12. Geographic coordinate system - 771
13. Integer - 752
14. Diameter - 714
15. Cryptography - 697
16. Set - 687
17. Degree (angle) - 665
18. Information - 664
19. Complex number - 636
20. SI - 633
21. Prime number - 602
22. Natural number - 549
23. Hexadecimal - 543
24. Topology - 528
25. Dimension - 522
26. Probability - 521
27. Group (mathematics) - 518
28. Vector space - 476
29. Volume - 474
30. Binary numeral system - 467
31. Theory - 453
32. Matrix (mathematics) - 449
33. Number theory - 440
34. Sphere - 439
35. Field (mathematics) - 439
36. Space - 437
37. Circle - 433
38. Solid - 430
39. Calculus - 420
40. Encryption - 417
41. Triangle - 416
42. Cardinal number - 398
43. Polynomial - 394
44. Topological space - 390
45. Derivative - 390
46. Graph theory - 385
47. Billion - 376
48. Algebra - 374
49. Subset - 368
50. Ordinal number - 363
51. Probability theory - 362
52. Game theory - 360
53. Manifold - 359
54. Velocity - 357
55. Algebraic geometry - 349
56. Sequence - 346
57. Set theory - 339
58. Category theory - 334
59. Entropy - 329
60. Vector (spatial) - 327
61. Polygon - 323
62. Pyramid - 322
63. Euclidean space - 321
64. Pi - 314
65. Number - 313
66. Continuous function - 310
67. Angle - 309
68. Variable - 308
69. Momentum - 302
70. Integral - 301
71. Rational number - 299
72. Orders of magnitude - 299
73. Wave - 298
74. Acceleration - 297
75. Factorization - 296
76. Symmetry - 293
77. Linear algebra - 290
78. Probability distribution - 287
79. Logistics - 287
80. Decimal - 283
81. Abstract algebra - 281
82. String theory - 280
83. Square (geometry) - 278
84. Combinatorics - 276
85. Hilbert space - 272