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 137 entries.
Last year, to aid navigation, I reorganised the list into categories.
I'm always open to suggestions of websites that should be added.
Send recommendations to me via the contact page.
Last updated : 5th July 2024

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
06. Classic Resource: The Geometry Junkyard
Puzzles and Problems
07. Jaap Scherphuis' online curious and interesting maths knowledge
08. If Polyominoes are your thing
09. American Puzzle Superstore: GamePuzzles
      A truly amazing product range of stuff no one else sells
10. The famous puzzles website Cut the Knot
      plus some background on its creator, the late Alexander Bogomolny
11. Lots of fascinating pop-maths at Mathematical Tinkering
12. Fourteen years worth of Christmas Maths Puzzles
      from the late (and definitely great) Mark Chadwick
13. IMO: International Mathematical Olympiad Book List
14. Wikipedia's dynamic list of unsolved problems in mathematics
15. Great Numberphile Video featuring Neil Sloane's Toothpick Patterns
16. The oldest school maths competition in the UK (papers free to download)
For All Things Fibonacci
17. Dr Ron Knott's Golden Ratio website
Online Maths Magazines
18. The Aperiodic
19. The M500 Mathematics Society of The Open University 
      Informal, open to all, Undergraduate Level, old issues (up to 2021) online
20. The Mathematical Medley magazine for Schools and Colleges
      Produced by Signapore University with old issues (1973-2014) online
GCSE, A-Level and Further A-Level Teaching and Learning
21. Number Wonder's Resources for Year 9, GCSE, A-Level Pure, A-Level Statistics, A-Level Mechanics
22. Underground Mathematics A lovely presentation of A-Level topics; lots to explore
23. Corbett Maths Superb teaching materials, especially for lower ability pupils
24. Revision Maths Handy source of past GCSE papers, but lots more too.
25. Tutor Chase Handy source of past A-Level papers, but lots more too.
26. Madas Maths Great teaching resources by the late Trifon Madas 
27. Exam Solutions : Excellent GCSE, A-Level and Further A-Level Resources
28. Save My Exams : Source of A-Level, GCSE and IGCSE Revision Notes, Examples and Exercises 
29. OCR A-Level Further Maths Past Papers
30. A-Level Maths Revision from Maths Made Easy
31. Paul's Online Notes on Calculus and Differential Equations
      (Paul Dawkins teaches at Lanmar University, Texas) 
32. Differential equation slope field plotter using GeoGebra
33. 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)
34. 2nd Order differential equations + more from Whitman College
35. Maths videos galore from Wrath of Math (YouTube)
36. Math Bits Notebook : American High School Math
Software (free) to Plot Graphs and Transformations
37. Interactive online duel bar graph from your data
      (I use this with Year 10 GCSE pupils; fun activity)
38. Excellent visualisation applet to show 3 x 3 matrix transformations
39. Online 3D graph plotter : Show three planes in a sheaf, prism or meeting at a point
40. Another useful 3D graph plotter : Good for getting a good perspective on a single surface
41. Wolfram Alpha : Free online mathematics computations
    Example of a Parametric Plot
    Example of a Polar Plot
    Example of finding asymptotes
42. French website; Encyclopedia of (graphs) curves
   (Use google translate to read it in English, if necessary)
Fractals
43. Fractal Online Tools with Cantor Dust, as a 'getting started' example.
44. Fractal Grower by Joel Castellanos
    Software to plot fractals.
45. Fractals listed by Hausdorff dimension from Wikipedia
General Resources (University Level)
46. Several useful algorithms discussed at Mosi's Maths
     (Such as solving a cubic)
47. Robin Chapman's Home Page : Treasure trove of maths resources and undergraduate teaching
48. Gresham College Online Mathematics Lectures
49. Math Stack Exchange : Ask, answer and explore university undergraduate level problems in mathematics
50. Online free access to the London Mathematical Society Newsletters
51. Journal of Mathematics and the Arts : Many Open Access articles
52. Maths, physics and philosophy blog: The n-Category Cafe
53. Oxford University Maths news, club, case studies etc  
54. Mathematics Blog Never Ending Books
55. A group blog on the smallest field F un Mathematics
56. The Riemann Hypothesis Explained : Lovely tour of key steps leading to Riemann's famous Hypothesis
57. Employment opportunities mostly in University Mathematics Departments (worldwide) 
Combinatorics (University Level)
58. Online textbook:
     Discrete Mathematics An Open Introduction by Oscar Levin
Matrices (University Level)
59. The Number Wonder Undergraduate Lectures (First Year)
     Matrix Transformations
     Matrix Systems of Equations
     Matrix Algebra
60. Invariant lines for a 2x2 matrix using GeoGebra
61. Online calculator of Matrix Characteristic Polynomials
62. Online calculator of Eigenvectors
      (Also rank, diagonalization, Schur decomposition, Jordan normal form...)
63. Online matrix manipulations from Wolfram Alpha
64. Online Textbook: Interactive Linear Algebra
65. Solutions to the textbook Linear Algebra Done Right
Graph Theory (University Level)
66. The Number Wonder Undergraduate Lectures (Third Year)
     Graph Theory I
67. Online textbook:
      An Introduction to Algebraic Graph Theory by Cesar Aguilar
68. Online manipulation: Polyhedral viewer
69. Paper models: Polyhedral nets as PDFs
70. An accessible proof of Euler's polyhedral formula
71. Online database of small simple graphs
72. Information System on Graph Classes and their Inclusions 
73. New website for Graph Theorists House of Graphs
74. Some Graph Catalogues
75. Tables of found Regular Graphs (Markus Meringer)
76. A repository of Combinatorial Data including many graphs
77. Mathematical algorithms with code: Baeldung on CS
      For example, Induced Subgraphs
78. Gordon Royal's talk on Real Chromatic Roots of Graphs
79. Graph Theory Teaching Notes (2011) from Prof Ilesanmi Adeboye
      (He's now (2023) at Wesleyan University, Connecticut USA)
Group Theory (University Level)
80. The Number Wonder Undergraduate Lectures (First Year)
     Group Theory I
     Group Theory II 
81. Group, Ring, Field, Galois and Module Theory
      plus Linear Algebra Problems in Mathematics
82. Group Explorer Free online Software for teaching and learning Group Theory
      Group Explorer User Guide
Elliptic Curves (University Level)
83. Teaching Resources for Andrew Sutherlands course at MIT, USA
84. A database of 3,824,372 Elliptic Curves and counting
Aperiodic Tilings and Symbolic Dynamics (University Level)
85. Bielefeld University's Tilings Encyclopedia
      Especially the Ammann Beenker tiling
86. Widget for exploring Aperiodic Cut and Project
87. Applet for exploring Aperiodic Cut and Project
88. Jarkko Kari's undergraduate course on Tilings and Patterns
89. Online Tilings Encyclopedia
90. A large collection of Maths Counterexamples
91. A series of YouTube videos on Ramsey Theory by Kaj Hansen
92. David Darling's website on Aperiodic Tilings
     Plus his YouTube video on the subject
93. Fun tessellations with Wang Tiles
94. YouTube The Mathematics of Lattices
95. Combinatorics on words seminar
96. The Gap System for Computational Discrete Algebra: Home Page
97. Birmingham University's Topology and Dynamics Seminars
98. Professor Donu Arapura's home page, Perdue University, Indiana, USA
     (Algebraic Geometry, eg Elliptic Curves in a nutshell)
Real Analysis (University Level)
99. Teaching Resources for Claude Warnick's course at Cambridge University, UK
Analytic Number Theory (University Level)
100. Teaching Resources for Noam D. Elkies' course at Harvard University, USA
Websites and Blogs by Mathematicians
101. AT Professor Evan Dummit's resources, Northeastern University, Boston, Massachusett, USA
     (Elliptic Curves, eg Integral Points on Elliptic Curves)
102. The Blog Climbing Mount Bourbaki, by Akhil Mathew at Harvard
103. Website of Professor Harold P. Boas who gained his PhD in 1980 from MIT
104. Lovely maths blog from Tanya Khovanova's at MIT
105. Homepage of Chris Eppolito Dr Chris Eppololito who gained his PhD in 2022
106. Homepage of French mathematician Emeritus Professor Jean Berstel (University of Paris-Est)
107. Homepage of German mathematician Dr Dirk Frettloh (University of Bielefeld)
108. Kennesaw mathematician Prof Misha Lavrov (Graph Theorist)
     Often active on Math Stack Exchange
109. Warwick mathematician Dr Martin Winter (Graph Theorist)
110. Website of Professor Nicholas J. Higham
      (Applied Mathematics, Numerical Linear Algebra and Software)
111. Homepage of Prof Geon Ho Choe
      (News of his 2022 Korean Mathematical Society Education Award)
112. Blog of Professor Attila Egri-Nagy
      (University profile Professor Attila Egri-Nagy)
113. Blog of Professor Timothy Gowers
      (Wikipedia on Professor Timothy Gowers)
114. Blog of Professor Terry Tao
      (Wikipedia on Professor Terry Tao)
115. Blog of Professor Greta Panova
      (Wikipedia on Professor Greta Panova)
116. Timo Jolivet's Research Page
117. Homepage of Prof Steven J. Miller
118. Homepage of Prof Narad Rampersad
119. Homepage of Prof Lieven le Bruyn
120. Website of Prof Jeffrey O. Shallit
      Plus a directory of his talks
121. Homepage of (the late) Professor Uwe Grimm of the Open University
122. Homepage of Dr John Magorrian (Oxford, UK)
123. Home page of Dr Dainis Zeps (Latvian University)
      especially his index of web pages
124. Home page of Professor Emeritus William G Faris (University of Arizona)
125. Homepage of Prof Vadim Ponomarenko (University of San Diago)
      (His Mathematical Gazette articles are included)
126. Minimalist homepage of Prof Chris Smyth (The University of Edinburgh)
      (Lots on Salem Numbers and Pisot Numbers)
127. Homepage of Prof James McKee (Royal Holloway University of London)
      (Lots on Salem Numbers and Pisot Numbers)
128. Homepage of Prof Howard E Haber (University of California, Santa Cruz, USA)
      (A Physicist !)
129. Homepage of Prof Lenya Ryzhik (Stanford University)
      Lots of lecture notes
130. Homepage of Dr Felix Flicker (University of Cardiff)
      Physicist with aperiodic leanings
131. Homepage of Dr Dan Rust (The Open University)
      For all things Aperiodic
132. Homepage of Dr. Veselin Jungic (Rice University)
      Author of Basics of Ramsey Theory
133. Homepage of Prof Anthony Várilly-Alvarado (Rice University)
      For all things on Surfaces
134. Homepage of Prof Jörn Dunkel (MIT)
      Lecture Notes on Complex Analysis, for example
135. Homepage of Prof Tony Samuel (University of Birmingham)
      List of publications, courses taught...
136. Homepage of Dr Yotam Smilansky (University of Manchester)
      List of publications, courses taught...
137. Homepage of Prof Alan Haynes (University of Houston)
      Great notes on Aperiodic Cut and Project
 

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