Top 100^* Mathematical Websites

This is a list of places on the web that I like and have personally found useful.
It is frequently added to (about once a week), ^*currently with 109 entries.
To aid navigation I started 2023 by reorganising it into categories.
I'm always open to suggestions of websites that should be added.
Send recommendations to me via the contact page.
Last updated : 20th November 2023

Famous Mathematicians
01. Award winning website from St Andrews University, Scotland
      Biographies of around 3000 mathematicians
Art of a Mathematical Nature
02. Lovely video of Islamic Geometric Artist: Samira Mian
      Plus a gallery of her work
03. Islamic Geometric Art from Hasrat Brown
04. Number Wonder's very own Art Gallery
05. Easy online turtle graphics geometric art programming in Scratch
 Puzzles and Problems
06. The famous puzzles website Cut the Knot
      plus some background on its creator, the late Alexander Bogomolny
07. Fourteen years worth of Christmas Maths Puzzles
      from the late (and definitely great) Mark Chadwick
08. The Mathematical Medley magazine for Schools and Colleges
      Produced by Signapore University with old issues (1973-2014) online
09. The M500 Mathematics Society of The Open University 
      Informal, open to all, Undergraduate Level, old issues (up to 2021) online
10. IMO: International Mathematical Olympiad Book List
11. Wikipedia's dynamic list of unsolved problems in mathematics
12. Great Numberphile Video featuring Neil Sloane's Toothpick Patterns
13. The oldest school maths competition in the UK (papers free to download)
GCSE, A-Level and Further A-Level Teaching and Learning
14. Number Wonder's Resources for Year 9, GCSE, A-Level Pure, A-Level Statistics, A-Level Mechanics
15. Underground Mathematics A lovely presentation of A-Level topics; lots to explore
16. Corbett Maths Superb teaching materials, especially for lower ability pupils
17. Revision Maths Handy source of past GCSE papers, but lots more too.
18. Madas Maths Great teaching resources by the late Trifon Madas 
19. Exam Solutions : Excellent GCSE, A-Level and Further A-Level Resources
20. Save My Exams : Source of A-Level, GCSE and IGCSE Revision Notes, Examples and Exercises 
21. OCR A-Level Further Maths Past Papers
22. A-Level Maths Revision from Maths Made Easy
23. Paul's Online Notes on Calculus and Differential Equations
      (Paul Dawkins teaches at Lanmar University, Texas) 
24. Differential equation slope field plotter using GeoGebra
25. Dr. R. L. Herman's A First Course in Differential Equations for Scientists and Engineers
      (An online book published in 2018 packed full of useful material)
26. 2nd Order differential equations + more from Whitman College
27. Maths videos galore from Wrath of Math (YouTube)
28. Math Bits Notebook : American High School Math
Software (free) to Plot Graphs and Transformations
29. Interactive online duel bar graph from your data
      (I use this with Year 10 GCSE pupils; fun activity)
30. Excellent visualisation applet to show 3 x 3 matrix transformations
31. Online 3D graph plotter : Show three planes in a sheaf, prism or meeting at a point
32. Another useful 3D graph plotter : Good for getting a good perspective on a single surface
33. Wolfram Alpha : Free online mathematics computations
    Example of a Parametric Plot
    Example of a Polar Plot
    Example of finding asymptotes
34. French website; Encyclopedia of (graphs) curves
   (Use google translate to read it in English, if necessary)
Fractals
35. Fractal Online Tools with Cantor Dust, as a 'getting started' example.
36. Fractal Grower by Joel Castellanos
    Software to plot fractals.
37. Fractals listed by Hausdorff dimension from Wikipedia
General Resources (University Level)
38. Several useful algorithms discussed at Mosi's Maths
     (Such as solving a cubic)
39. Robin Chapman's Home Page : Treasure trove of maths resources and undergraduate teaching
40. Gresham College Online Mathematics Lectures
41. Math Stack Exchange : Ask, answer and explore university undergraduate level problems in mathematics
42. Online free access to the London Mathematical Society Newsletters
43. Journal of Mathematics and the Arts : Many Open Access articles
44. Maths, physics and philosophy blog: The n-Category Cafe
45. Oxford University Maths news, club, case studies etc  
46. Mathematics Blog Never Ending Books
47. A group blog on the smallest field F un Mathematics
48. The Riemann Hypothesis Explained : Lovely tour of key steps leading to Riemann's famous Hypothesis
49. Employment opportunities mostly in University Mathematics Departments (worldwide) 
Combinatorics (University Level)
50. Online textbook:
     Discrete Mathematics An Open Introduction by Oscar Levin
Matrices (University Level)
51. The Number Wonder Undergraduate Lectures (First Year)
     Matrix Transformations
     Matrix Systems of Equations
     Matrix Algebra
52. Invariant lines for a 2x2 matrix using GeoGebra
53. Online calculator of Matrix Characteristic Polynomials
54. Online calculator of Eigenvectors
      (Also rank, diagonalization, Schur decomposition, Jordan normal form...)
55. Online matrix manipulations from Wolfram Alpha
56. Online Textbook: Interactive Linear Algebra
57. Solutions to the textbook Linear Algebra Done Right
Graph Theory (University Level)
58. The Number Wonder Undergraduate Lectures (Third Year)
     Graph Theory I
59. Online textbook:
      An Introduction to Algebraic Graph Theory by Cesar Aguilar
60. Online manipulation: Polyhedral viewer
61. Paper models: Polyhedral nets as PDFs
62. An accessible proof of Euler's polyhedral formula
63. Online database of small simple graphs
64. Information System on Graph Classes and their Inclusions 
65. New website for Graph Theorists House of Graphs
66. Some Graph Catalogues
67. Tables of found Regular Graphs (Markus Meringer)
68. A repository of Combinatorial Data including many graphs
69. Mathematical algorithms with code: Baeldung on CS
      For example, Induced Subgraphs
70. Gordon Royal's talk on Real Chromatic Roots of Graphs
71. Graph Theory Teaching Notes (2011) from Prof Ilesanmi Adeboye
      (He's now (2023) at Wesleyan University, Connecticut USA)
Group Theory (University Level)
72. The Number Wonder Undergraduate Lectures (First Year)
     Group Theory I
     Group Theory II 
73. Group, Ring, Field, Galois and Module Theory
      plus Linear Algebra Problems in Mathematics
74. Group Explorer Free online Software for teaching and learning Group Theory
      Group Explorer User Guide
75. A database of 3,824,372 Elliptic Curves and counting
Aperiodic Tilings and Symbolic Dynamics (University Level)
76. Bielefeld University's Tilings Encyclopedia
      Especially the Ammann Beenker tiling
77. Jarkko Kari's undergraduate course on Tilings and Patterns
78. Online Tilings Encyclopedia
79. A large collection of Maths Counterexamples
80. A series of YouTube videos on Ramsey Theory by Kaj Hansen
81. David Darling's website on Aperiodic Tilings
     Plus his YouTube video on the subject
82. Fun tessellations with Wang Tiles
83. YouTube The Mathematics of Lattices
84. Combinatorics on words seminar
85. The Gap System for Computational Discrete Algebra: Home Page
Websites and Blogs by Mathematicians
86. Website of Professor Harold P. Boas who gained his PhD in 1980 from MIT
87. Lovely maths blog from Tanya Khovanova's at MIT
88. Homepage of Chris Eppolito Dr Chris Eppololito who gained his PhD in 2022
89. Homepage of French mathematician Emeritus Professor Jean Berstel (University of Paris-Est)
90. Homepage of German mathematician Dr Dirk Frettloh (University of Bielefeld)
91. Kennesaw mathematician Prof Misha Lavrov (Graph Theorist)
     Often active on Math Stack Exchange
92. Warwick mathematician Dr Martin Winter (Graph Theorist)
93. Website of Professor Nicholas J. Higham
      (Applied Mathematics, Numerical Linear Algebra and Software)
94. Homepage of Prof Geon Ho Choe
      (News of his 2022 Korean Mathematical Society Education Award)
95. Blog of Professor Attila Egri-Nagy
      (University profile Professor Attila Egri-Nagy)
96. Blog of Professor Timothy Gowers
      (Wikipedia on Professor Timothy Gowers)
97. Blog of Professor Terry Tao
      (Wikipedia on Professor Terry Tao)
98. Blog of Professor Greta Panova
      (Wikipedia on Professor Greta Panova)
99. Timo Jolivet's Research Page
100. Homepage of Prof Steven J. Miller
101. Homepage of Prof Narad Rampersad
102. Homepage of Prof Lieven le Bruyn
103. Website of Prof Jeffrey O. Shallit
      Plus a directory of his talks
104. Homepage of (the late) Professor Uwe Grimm of the Open University
105. Homepage of Dr John Magorrian (Oxford, UK)
106. Home page of Dr Dainis Zeps (Latvian University)
      especially his index of web pages
107. Homepage of Prof Vadim Ponomarenko (San Diago Uni)
      (His Mathematical Gazette articles are included)
108. Minimalist homepage of Prof Chris Smyth (The University of Edinburgh)
      (Lots on Salem Numbers and Pisot Numbers)
109. Homepage of Prof James McKee (Royal Holloway University of London)
      (Lots on Salem Numbers and Pisot Numbers)
 

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