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The nLab page on mathematics is a reference entry covering the field of mathematics. It states that mathematics is the part of science that constructs and studies mathematical objects used to implement mathematical models, with results organized into definitions, theorems, and proofs. The page lists subfields including philosophy of mathematics, foundations, logic, topology, algebra, and analysis.
Park School Mathematics is a site presenting a series of mathematics books, from Book 1: Reasoning and Proving through Book 10: Functions and Models II, plus additional custom books. Book pages list lessons covering topics such as combinatorics, linear equations, quadratic models, graph theory, geometric proof, circular functions, algorithms, logarithms and recursion.
The Borr Project offers a pre-college mathematics curriculum built from online materials, covering topics such as calculus, discrete mathematics, linear algebra and probability. Courses are chosen to match the 2015 CUPM Guide and be open for enrollment. The curriculum can be completed in about two years with roughly 18-22 hours per week, and students may work alone or in groups.
BetterExplained is an educational site offering intuitive math lessons. It covers topics such as imaginary numbers, exponents, trigonometry, the Fourier transform and linear algebra. The site presents the ADEPT learning method, which starts with analogies rather than memorization. It also offers a Math, Better Explained ebook and a calculus course readable free online.
Corca is a collaborative math editor. It lets users type mathematical expressions without syntax or coding, with input behaving like search. Multiple people can work on math together in real time, and equations export to LaTeX for copying or document download.
Games by Will is a collection of browser games by Will Juseck, including Terminal, Capital Punishment, Math Blitz, Never Enough, 25th Amendment, Redundancy, Renter's Revenge, and The Lich's Dungeon. The games span genres such as strategy, horror text adventure, geography quiz, arcade speed math, satirical strategy, political strategy, narrative strategy, and fantasy roguelike.
A blog listing undergraduate and basic graduate textbooks and lecture notes for studying pure mathematics or statistics. It organizes material into stages, from elementary topics through analysis, algebra, topology and optional subjects, and is addressed to beginners who want to learn mathematics.
A staged learning roadmap for machine learning that covers mathematics and calculus, programming, and machine learning concepts. It advises moving to the next stage only after fully understanding the current one. The mathematics section covers linear algebra, calculus, and probability and statistics, and the programming section covers Python basics and advanced Python.
Mathos AI provides AI-assisted learning, courses, tutorials, or study support.
Mathway is an AI-powered math solver and calculator backed by Chegg. It provides step-by-step solutions to problems across 11 math and science subjects, including algebra, calculus, statistics, chemistry, and physics. Users can input problems by typing, uploading a photo of handwritten or printed work, or using over 59 dedicated free calculators for tasks like solving equations, factoring, and graphing. The service has been refined for over two decades and has solved more than 5 billion problems.
Project Euler is a series of challenging mathematical and computer programming problems. Most problems require computer and programming skills in addition to mathematical insight. The site aims to offer a platform for learning new concepts in a recreational context, and accounts can be used to track progress.
A University of Maryland lecturer's page linking to notes and resources for mathematics and computer science courses, including calculus, differential equations, linear algebra, abstract algebra, number theory, and algorithms. It also offers standalone class notes applicable to multiple courses.
MadAsMaths is a mathematics resources site offering free materials for students and teachers. It provides mathematical booklets classified by topic with questions and full solutions, practice papers with solutions, and Project Maths PowerPoint presentations. The site is static with no further updates and its contact form deactivated.
Mathigon is a mathematics learning site described as a mathematical playground. It offers free tools, courses and manipulatives intended to make online learning more interactive, including Polypad, fractals, flash cards, timeline, sequences, graph theory and Factris. It also lists lesson plans and teacher resources.
An encyclopedic collection of mathematics resources covering arithmetic, algebra, geometry, probability and trigonometry, with games, problems, puzzles and articles. It was created in 1996 by Alexander Bogomolny, who maintained it until July 2018. The Wolfram Foundation was asked to continue maintenance and updates.
DSATuz is a Telegram channel focused on SAT exam preparation. The channel lists related resources, including a results channel for success stories, a free SAT math course, and an ads channel. It states that its files are for educational purposes only and links to the TopTierPrep website.
A collection of educational applets for visualizing concepts in math, physics and engineering, covering topics such as oscillations, acoustics, signal processing, electricity and magnetism and quantum mechanics. The applets were originally written in Java but have mostly been converted to JavaScript.
GeoGebra is an interactive mathematics platform for teaching and learning. It provides free digital tools including calculators, graphing, geometry, 3D exploration, and collaborative whiteboard features. The platform offers ready-made educational resources for grades 4 to 12, tools for users to create custom materials, and classroom functionality for teachers to track student progress and provide feedback. It integrates with various learning management systems and is used by teachers and students at school and university levels.
MathJax is a JavaScript display engine for mathematics that works in all browsers. It provides tools to transform print content into accessible web content and ePubs, and the team offers training and consultancy on online teaching materials.
MathOnline is a Wikidot site offering notes on undergraduate mathematics topics, including calculus, linear algebra, topology and number theory. The notes include examples and visuals, and the author states pages may contain typos or errors.
MathPortal is a mathematics website offering step-by-step online calculators and solvers for topics including polynomial equations, rational expressions, systems of equations, matrices, complex numbers and analytic geometry. It also provides math lessons, formulas and tests. The site states it was designed by mathematician Miloš Petrović, who wrote the calculators, lessons and formulas. A paid homework help service is mentioned.
Open Source Society University (OSSU) is an open education initiative that provides free self-taught college-level curricula. It offers structured learning paths for Computer Science, Mathematics, Data Science, and Bioinformatics, plus localized versions for Brazilian and Chinese learners. All resources are freely accessible with no cost to users.
PlanetMath is a virtual community aiming to make mathematical knowledge more accessible. Its main feature is a mathematics encyclopedia with entries written and reviewed by members, contributed under the Creative Commons By/Share-Alike License and written in LaTeX.
Wolfram MathWorld is a comprehensive encyclopedia of mathematics with 13,000 detailed entries. It is continually updated, extensively illustrated, and includes interactive examples, covering areas such as algebra, geometry, calculus and analysis, and probability and statistics.
