Category: mathematics

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59 sites · page 1 of 1

• “The Lost Art of Logarithms” by Charles Petzold [2026-07-07]
  Charles Petzold's web-book-in-progress explores the history, utility, and mechanics of logarithms, from their origins in 400-year-old mathematical tables to slide rules and spherical trigonometry. With over 30 chapter-length pages covering topics like the Book of Vlacq, log-log scales, and John Napier's life, this is a rich and deeply researched labor of love for math history enthusiasts.
• 0x5f3759df | Hummus and Magnets [2026-07-07]
  Christian Plesner Hansen's technical blog dives deep into the legendary fast inverse square root hack and its magic constant 0x5f3759df, tracing the algorithm's surprising history from Ardent Computer in the 1980s through SGI, 3dfx, and Quake III Arena. The post rigorously explains the underlying floating-point bit manipulation, generalizes the technique to arbitrary powers, and includes graphs and mathematical derivations that illuminate why this 'evil' hack actually works.
• About – Alex Rutar [2026-07-07]
  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.
• Abuse of Notation - writings on math, logic, philosophy and art - [2026-07-07]
  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.
• All You Ever Wanted to Know About Pascal's Triangle and more [2026-07-07]
  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.
• CALCULUS.ORG [2026-07-07]
  Calculus.org is a comprehensive educational hub hosted by UC Davis, offering step-by-step calculus problems, Java applets, Maple and Mathematica animations, and sample exams for both students and instructors. The site covers differential, integral, and multivariable calculus with resources ranging from humorous beginner guides to actuarial review problems, making it a well-rounded reference for anyone tackling the subject.
• Category Theory | Summer Study Group 2015 [2026-07-07]
  A collaborative study group blog documenting UCLA Extension's 2015 Category Theory course led by Professor Michael Miller, covering abstract algebra, functors, and related mathematical structures. Participants followed a structured syllabus across multiple chapters, sharing notes, resources, LaTeX diagrams, and meeting summaries over the summer term.
• Clifford A. Pickover's Home Page [2026-07-07]
  The personal homepage of prolific author and inventor Clifford A. Pickover, featuring links to his 50+ books spanning fractals, chaos, black holes, the fourth dimension, and the mathematics of reality. With 800 patents, a sprawling collection of puzzles, art, and cosmic questions, this site is a portal into the mind of one of science's most imaginative popularizers.
• Complex Analysis [2026-07-07]
  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.
• Construction by Compasses Alone [2026-07-07]
  David E. Joyce of Clark University presents a detailed mathematical exploration of compass-only geometric constructions, proving that a straightedge is unnecessary for any Euclidean construction. The site covers circle inversion, stereographic projection, inversive geometry, and involutory quandles, drawing on the historical work of Mohr and Mascheroni.
• Cool Math Links [2026-07-07]
  A curated collection of mathematics education links compiled at Andrews University, organized into sections for teachers, parents, and students across K-12 grade levels. The directory covers lesson plans, interactive activities, problem-solving resources, and NCTM-aligned curriculum materials from across the early web.
• Dale Mellorʼs Blog [2026-07-07]
  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.
• Dimensions Home [2026-07-07]
  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.
• dominiccook.xyz [2026-07-07]
  Dominic Cook's personal site collects his explorations in mathematics, number theory, measure theory, and speculative metaphysics alongside creative web projects like 88x31 webpins, glitch art, and calculators. The mix of rigorous mathematical writing and old-web aesthetics makes it a quirky, intellectually curious corner of the indie web.
• Earliest Known Uses of Some of the Words of Mathematics [2026-07-07]
  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.
• Fibonacci Numbers, the Golden section and the Golden String [2026-07-07]
  Dr Ron Knott's comprehensive mathematics resource, hosted by Surrey University since 1996, covers Fibonacci numbers, the golden ratio, and their appearances in nature, art, geometry, architecture, and music. Packed with interactive calculators, puzzles, investigations, and dozens of linked pages exploring everything from Lucas sequences to phyllotaxis, this is one of the oldest and most thorough maths sites on the web.
• Gallery of Data Visualization [2026-07-07]
  Hosted at York University, the Gallery of Data Visualization is a reference collection showcasing classic and contemporary examples of statistical graphics and chart design. It serves as an educational resource for students and researchers interested in how data can be effectively communicated through visual means.
• Generating Gaussian Random Numbers, Taygeta Scientific Inc. [2026-07-07]
  Taygeta Scientific Inc. presents a technical reference on generating Gaussian pseudo-random numbers using the Box-Muller transformation, written by Dr. Everett (Skip) F. Carter Jr. The page includes code examples, a step-by-step Weibull distribution walkthrough, and an academic reference list covering stochastic modelling and Monte Carlo methods.
• Godel and Godel's Theorem [2026-07-07]
  Math: 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.
• GoGeometry - Unleash the Power of Geometry | Interactive Lessons, Tutorials, and Problem-solving Resources [2026-07-07]
  GoGeometry, created by Antonio Gutierrez, offers over 1600 illustrated geometry problems alongside interactive lessons and tutorials suited for both students and teachers. The site blends mathematical rigor with cultural touches, weaving in references to Incan heritage, Machu Picchu, and the golden ratio to make geometry visually engaging and globally inspired.
• Idenified's Zone [2026-07-07]
  Iden's personal corner of the web highlights their love of mathematics, featuring a playful 'Web Pi' page and a collection of 88x31 buttons alongside a blog and micro-log. The site has a charming lo-fi aesthetic with CC0-licensed content and participates in the No AI Webring.
• Interactive Mathematics Miscellany and Puzzles [2026-07-07]
  Created by Alexander Bogomolny starting in 1996, Cut the Knot is a massive encyclopedic collection of interactive mathematics covering geometry, algebra, probability, puzzles, proofs, and much more, built over decades until his passing in 2018. With thousands of pages, interactive Java applets, Olympiad problems, and articles spanning all levels of math, it stands as one of the most beloved and comprehensive math resources ever built on the early web.
• John Baez's Stuff [2026-07-07]
  John Baez is a mathematical physicist and emeritus professor at UC Riverside whose sprawling personal site features decades of expository writing on math and physics, including his long-running column 'This Week's Finds in Mathematical Physics.' Visitors can explore course notes, research papers, talks on topics from category theory to the Standard Model, and accessible blog posts bridging cutting-edge science with public engagement.
• Jonathan Fraser [2026-07-07]
  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.
• Joy of Pi | Pi Links [2026-07-07]
  A comprehensive link directory dedicated entirely to pi, curated by David Blatner, author of 'The Joy of Pi,' covering everything from basic pi facts and digit downloads to pi music, pi history, and Pi Day celebrations. Visitors will find hundreds of categorized links spanning memorizing pi, calculating digits, pi mysteries, and even wacky pi fun, making it a go-to hub for pi enthusiasts of all levels.
• Julian Day Numbers [2026-07-07]
  Peter Meyer's detailed reference article explains the Julian Day Number system, covering its origins, astronomical vs. chronological uses, and various related date formats like Modified Julian Day Numbers and Lilian Day Numbers. The page includes conversion algorithms and links to calendar software tools, making it a thorough technical reference for astronomers, historians, and calendricists.
• Kenneth Falconer | Mathematics | St Andrews [2026-07-07]
  Kenneth Falconer is a Regius Professor of Mathematics at the University of St Andrews whose personal academic page covers his pioneering work in fractal geometry, geometric measure theory, and multifractal analysis. Visitors will find links to his books and preprints, fractal movie resources, maths poems, and even a note about his impressive record completing 36 LDWA hundred-mile walks.
• MacTutor Index - MacTutor History of Mathematics [2026-07-07]
  MacTutor is a vast free archive maintained by mathematicians Edmund Robertson and John O'Connor of the University of St Andrews, featuring biographies of over 3000 mathematicians and more than 2000 historical essays. A true labor of love recognized with the Hirst Prize of the London Mathematical Society, it includes specialized indexes covering female mathematicians, mathematical societies, historical curves, and even postage stamps honoring math figures.
• Math @ CowPi [2026-07-07]
  Math @ CowPi offers a curated collection of math tools and resources, including interactive GeoGebra sketches, a system-of-equations solver for up to five unknowns, and a full annotated text of Edwin A. Abbott's classic novel Flatland. Visitors will also find organized math links spanning algebra, geometry, trigonometry, and calculus, making it a handy reference for students and enthusiasts alike.
• Math Links [2026-07-07]
  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.
• Math2.org [2026-07-07]
  Math2.org is a comprehensive math reference site offering organized tables, formulas, and identities covering everything from basic arithmetic to calculus, linear algebra, and Fourier transforms. Available in both English and Spanish, it also features a message board for math questions and links to other top math resources on the web.
• Mathematical Problems by David Hilbert [2026-07-07]
  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.
• Mathematical Resources [2026-07-07]
  Mathematical Art, Graphics, Chaos and Fractals (Math Links by Bruno Kevius): Bruno Kevius has assembled an extensive link collection covering mathematical art, fractals, chaos theory, and geometry, featuring resources on M.C. Escher, polyhedra, cellular automata, and fractal software. With over 120 curated links spanning strange attractors, tessellations, origami, and geometric sculpture, this is a rich reference hub for anyone exploring the intersection of math and visual art.
• Mathematically Interesting Games -- The Tower of Hanoi [2026-07-07]
  Part of the University of Toronto Mathematics Network, this page explores the classic Tower of Hanoi puzzle through its legendary origins, an interactive playable version, and a deep dive into the mathematical patterns it reveals. Created by Philip Spencer, it connects the puzzle to concepts like Hamiltonian paths and higher-dimensional geometry, making it a genuinely enriching educational resource.
• Mathematics and Poetry - Home [2026-07-07]
  A research project exploring the intersection of mathematics and poetry through a historical timeline tracing connections between mathematicians and poets across the centuries. The site offers a curated timeline, sources, and resources for anyone curious about how these two disciplines have influenced each other.
• MathLinks [2026-07-07]
  Maintained by University of Connecticut math professor Sarah Glaz, this curated link collection gathers hundreds of resources covering math humor, mathematical poetry, math in film and theater, interactive geometry, famous problems, and career guidance. It serves as a rich undergraduate reference bridging serious mathematics with its cultural and creative dimensions.
• Matthew R. Watkins' home page [2026-07-07]
  Matthew R. Watkins is a mathematician and honorary researcher at Exeter University whose site centers on his celebrated 'Secrets of Creation' trilogy, making analytic number theory and prime numbers accessible to general audiences. The site also features a number theory and physics archive, prime number resources for beginners, and links to his eclectic range of interests including parapsychology, the I Ching, and psychogeography.
• National Curve Bank - A MATH Archive [2026-07-07]
  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.
• nLab [2026-07-07]
  The nLab is a collaborative wiki covering advanced mathematics, physics, and philosophy with a strong emphasis on category theory, homotopy theory, topos theory, and their connections to theoretical physics. It serves as an encyclopedic reference for researchers and students working at the intersection of higher mathematics and mathematical physics, offering thousands of deeply interlinked articles.
• nsml.org [2026-07-07]
  The North Suburban Math League (NSML) organizes competitive math meets for Chicago-area high schools, with five competitions held throughout the school year. The site provides contest archives, meet schedules, written and oral topic lists, coach resources, and a history of NSML alumni who have earned medals at the International Mathematical Olympiad.
• Parker Adey [2026-07-07]
  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.
• Pi Land [2026-07-07]
  Pi Land is Eve Andersson's comprehensive tribute to the mathematical constant pi, featuring trivia games, a memory trainer, digit search tools, frequency analysis, and multiple calculation methods including Gregory-Leibniz and Monte Carlo. The site blends nerdy exploration with aesthetic touches like poetry, photos, and art, making it a delightful destination for math enthusiasts of all levels.
• Pi Section [2026-07-07]
  A page by a student or researcher at Brock University presenting the first 10,000 decimal digits of pi, calculated using Machin's formula on a Silicon Graphics MIPS R4400 workstation. It offers a concise glimpse into early 1990s academic computing power applied to a classic mathematical challenge.
• PlanetMath.org [2026-07-07]
  PlanetMath.org is a collaboratively built mathematics encyclopedia where community members write and review entries covering a vast range of mathematical topics, all rendered in LaTeX. Hosted by the University of Waterloo and operated as a nonprofit, it offers both a subject index and alphabetical index, making it a serious reference hub for students, educators, and math enthusiasts.
• Probability Inference for Propositional Logic • Pinference [2026-07-07]
  Pinference is an R package by PierGianLuca Porta Mana that implements probability inference for propositional logic, calculating lower and upper probability bounds for logical expressions using Hailperin's procedure. The documentation site covers the theoretical foundations connecting probability calculus to sequent calculus, with worked examples and an API reference for the inferP() function.
• Quilt Geometry [2026-07-07]
  Created by Steven H. Cullinane, this page explores the mathematical geometry underlying quilt block design, connecting symmetry theory to traditional patchwork patterns. It organizes curated resources across three difficulty levels, from elementary classroom guides to advanced topics like block designs in art and mathematics.
• Rice Virtual Lab in Statistics (RVLS) [2026-07-07]
  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.
• Sam Loyd's Cyclopedia of Puzzles [2026-07-07]
  Ed Pegg Jr's digitized archive of Sam Loyd's 1914 'Cyclopedia of 5000 Puzzles, Tricks, and Conundrums' presents the classic puzzle book as a complete set of scanned page images freely available for download. This rare public-domain release preserves one of the most celebrated puzzle collections in mathematical history, making it an invaluable resource for recreational mathematics enthusiasts.
• SANGAKU [2026-07-07]
  Created by Hiroshi Kotera, this site documents Sangaku, the beautiful geometric theorems that Japanese scholars of all social classes inscribed on wooden tablets and dedicated to shrines and temples during the Edo period. It offers images of surviving Sangaku tablets and serves as a rare English-language window into this uniquely Japanese mathematical tradition dating back to 1996.
• Shtetl-Optimized [2026-07-07]
  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.
• Slice of Pi, Anyone? - About Pi Day and the Transcendental Number Pi [2026-07-07]
  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.
• Sprott's Fractal Gallery [2026-07-07]
  Julien C. Sprott's Fractal Gallery is a sprawling collection of computer-generated fractal artwork, featuring a daily auto-updated fractal derived from strange attractor algorithms described in his book 'Strange Attractors: Creating Patterns in Chaos'. Visitors can browse thousands of downloadable images spanning Julia sets, Mandelbrot sets, 3D anaglyphs, tilings, and animations, plus a Java applet that generates new fractals every five seconds.
• The Chaos Hypertextbook [2026-07-07]
  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.
• The Geometry Center Welcome Page [2026-07-07]
  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.
• The KnotPlot Site [2026-07-07]
  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.
• The On-Line Encyclopedia of Integer Sequences (OEIS) [2026-07-07]
  The OEIS is a massive searchable database of over 393,000 integer sequences, maintained by the OEIS Foundation and originally created by mathematician Neil Sloane. Researchers, students, and math enthusiasts can look up sequences by entering numbers to identify patterns, explore combinatorics, and discover connections across mathematical disciplines.
• Welcome to Mathematrix [2026-07-07]
  Mathematrix, created by Lee Stemkoski at Adelphi University, explores the playful and lesser-known side of mathematics through topics like polyominoes, Rubik's Cube, fractals, Conway's Game of Life, and higher dimensions. Accessible to curious minds at any level, the site blends mathematical art, humor, poetry, and hands-on puzzles to make recreational math genuinely entertaining.
• Welcome! - The Mathematics Genealogy Project [2026-07-07]
  The Mathematics Genealogy Project is a massive academic database tracking the doctoral advisor lineages of mathematicians worldwide, with over 337,000 records linking students to their advisors across generations. Hosted by NDSU in association with the American Mathematical Society, it lets you trace the intellectual ancestry of virtually any mathematician back through history.
• Women Mathematicians, Sponsored by Agnes Scott College [2026-07-07]
  Hosted by Agnes Scott College, this site offers an extensive collection of biographical essays on women mathematicians throughout history, organized alphabetically, chronologically, and even by birthplace with an interactive Google Map. It also tracks prizes, firsts, and current achievements, making it a rich reference for anyone interested in the history of women in mathematics.