Mathematics
59 sites
https://pgadey.ca/
Parker Adey is a math lecturer at the University of Toronto Scarborough who shares formal notes, informal blog posts, reading recommendations, and teaching materials spanning topology, linear algebra, and beyond. The site doubles as an academic hub with a CV, publications list, office webcam, and a decade of evolution captured in the Wayback Machine.
https://complex-analysis.com/
Created by Juan Carlos Ponce Campuzano, this interactive online textbook introduces complex analysis through visual applets built with GeoGebra, p5.js, and other JavaScript tools, making abstract mathematical concepts tangible and explorable. Covering topics from the Cauchy-Goursat Theorem to conformal mappings, it serves engineering and mathematics students with a beautifully designed, continually updated resource that includes Spanish and Italian translations.
http://nationalcurvebank.org/
The National Curve Bank is a mathematical archive dedicated to cataloging and exploring curves, offering detailed information on their properties, equations, and historical significance. A sister site to the Witch of Agnesi page, this project serves as an educational reference for students, educators, and math enthusiasts interested in the geometry of curves.
https://onlinestatbook.com/rvls.html
The Rice Virtual Lab in Statistics (RVLS), created by David Lane at Rice University, offers a comprehensive suite of free web-based tools for learning and teaching statistics, including an interactive online textbook, Java simulations, real-world case studies, and an analysis lab. Supported by the National Science Foundation and recognized by multiple educational organizations, it covers topics from basic descriptive statistics to ANOVA and regression.
http://dimensions-math.org/Dim_E.htm
Dimensions is a freely available two-hour mathematical film by Jos Leys, Étienne Ghys, and Aurélien Alvarez that guides viewers through nine chapters building up to the concept of the fourth dimension. Released under a Creative Commons license, it offers commentary and subtitles in over a dozen languages, making advanced mathematical visualization accessible to a global audience.
https://khleedril.org/blog
Dale Mellor is a scientific computer programmer, mathematician, and physicist who writes accessible math explainers like his 'Baby Steps for Adults' series alongside posts about science fiction, Star Trek, fine art, and daily life. The blog covers a genuinely eclectic range of intellectual interests, with mathematics and computing forming the clear backbone of the content.
https://johnshepler.com/articles/piday.html
John Shepler's engaging article celebrates Pi Day and explores the fascinating history of the transcendental number pi, from ancient scholars to modern supercomputers crunching billions of decimal places. Packed with fun facts, literary references, and links to birthday calculators and playlists, it makes mathematics genuinely entertaining for casual readers and math enthusiasts alike.
https://hypertextbook.com/chaos
The Chaos Hypertextbook is a deep educational resource covering chaos theory, fractals, strange attractors, and fractal dimension with clear explanations aimed at making complex mathematics accessible to a broad audience. Organized into chapters covering iteration, bifurcation, Julia sets, Mandelbrot sets, and nonlinear dynamics, it reads like a beautifully structured online textbook that would captivate anyone curious about the mathematics underlying unpredictable systems.
https://scottaaronson.blog/
Shtetl-Optimized is the long-running blog of Scott Aaronson, a theoretical computer scientist and quantum computing researcher, where he dives deep into complexity theory, quantum computing misconceptions, AI, and education policy. Known for its intellectual rigor and wit, it attracts readers from academia and beyond who enjoy substantive takes on math, physics, and the occasional culture-war skirmish in gifted education.
https://abuseofnotation.github.io/
Abuse of Notation is a thoughtful blog by a writer who weaves together mathematics, logic, philosophy, and programming into long-form essays and books, covering topics from category theory to Kant to functional programming. The site also features several self-authored books, including 'Category Theory Illustrated,' making it a surprisingly deep resource for readers who enjoy rigorous yet personal intellectual exploration.