Mathematics
59 sites
https://felderbooks.com/papers/godel.html
Kenny Felder offers a thorough and accessible explanation of Gödel's Incompleteness Theorem, drawing heavily on Hofstadter's 'Gödel, Escher, Bach' to walk readers through the mathematics and philosophy behind one of the most profound results in logic. Written in 1996, the piece explores formal axiomatic systems, Russell and Whitehead's Principia Mathematica, and the far-reaching implications of Gödel's work for mathematics, artificial intelligence, and the nature of mind.
https://jeff560.tripod.com/mathword.html
Jeff Miller's meticulously researched reference page tracks the earliest known uses of mathematical terminology, tracing when and where specific math words first appeared in historical texts. This is a unique etymological resource for mathematicians, historians, and anyone curious about the origins of the language of mathematics.
https://knotplot.com/
Created by Robert G. Scharein, the KnotPlot Site is a visually stunning exploration of mathematical knot theory, featuring hundreds of images and animations generated by the KnotPlot software for Windows, macOS, and Linux. Visitors can browse galleries of torus knots, Celtic knots, hyperbolic knots, Brunnian links, and fractal structures, as well as download the KnotPlot program itself to visualize and manipulate knots in three and four dimensions.
http://geom.uiuc.edu/
The Geometry Center was a University of Minnesota research and education hub dedicated to mathematics, geometry, and visualization tools, now archived after its closure. Visitors can explore interactive Java applications, 3D geometry software like Geomview and JGV, multimedia math documents, downloadable software, and video productions covering topics from solar system models to symmetry exploration.
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://jonathan-fraser.github.io/homepage
Jonathan Fraser, Professor of Mathematics at the University of St Andrews, maintains this academic homepage showcasing his research in fractal geometry, dimension theory, and geometric measure theory. Visitors will find links to his publications, research papers, talks, course notes, and resources related to his book on Assouad Dimension and Fractal Geometry.
https://ptri1.tripod.com/
A detailed educational resource dedicated entirely to Pascal's Triangle, covering its construction, history, and the surprising number of patterns hidden within it. Visitors can explore topics ranging from the Fibonacci sequence and Sierpinski fractals to prime numbers and polygonal numbers, with downloadable programs to generate and visualize the triangle's patterns.
https://rutar.org/
Alex Rutar is a mathematics postdoctoral researcher specializing in fractal geometry, dynamical systems, and dimension theory, with affiliations at the University of Jyväskylä and a PhD from the University of St Andrews. His site serves as an academic hub linking to his publications, expository writing, CV, and open-source developer tools built around LaTeX and terminal utilities.
https://www.mathsisfun.com/links/external.html
A curated collection of external math links from MathIsFun, organized into math websites, fun puzzle sites, and schools, covering everything from algebra and geometry to game theory and Pi. Created by Rod Pierce, this page serves as a springboard to some of the web's best math resources for students, teachers, and curious minds alike.
https://mathcs.clarku.edu/%7Edjoyce/hilbert/toc.html
Created by David E. Joyce of Clark University, this site presents the full text of David Hilbert's famous 1900 lecture outlining 23 unsolved mathematical problems that shaped 20th-century mathematics. Each problem links to its own dedicated page with references to key solutions and related works, making it an invaluable reference for anyone studying the history and foundations of mathematics.