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A three-part curriculum aimed to help beginners self-study mathematics, covering core undergraduate subjects, electives, and possible study tracks. It assumes a modest background, mostly high school mathematics, and emphasizes solving exercises and problems.
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.
Mathematics Roadmap is a GitHub repository or organization with source code, releases, documentation, or project resources.
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.
This nLab page discusses the philosophical part of nLab, covering higher algebra, homotopy theory, type theory and category theory and their relevance to philosophy. It states that the entries on philosophy would ideally contain philosophy of mathematics, logic and foundations, and philosophy of physics, including interpretation and foundational issues of quantum mechanics. It also treats metaphysical interest in higher mathematical structures and foundations for mathematics.
Wolfram|Alpha is a computational knowledge engine with broad knowledge and deep computational power in mathematics. It provides calculators and answers across elementary math, algebra, calculus, geometry, number theory, discrete and applied math, logic, functions, plotting, advanced mathematics, definitions, famous problems, continued fractions, and Common Core math. Users can get help with math homework, solve specific problems, or find information on mathematical subjects and topics.
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.
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.
Machine Learning in MatLab/Octave is a collection of MatLab/Octave implementations of popular machine learning algorithms, including code examples and explanations of the associated mathematics. It covers supervised learning tasks such as regression and classification as well as unsupervised learning.
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.
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.
The Borr Project is a free educational initiative providing self-paced learning paths modeled on top university curricula for computer science, pre-college math, data science, and mathematics. It offers help via a Discord chat room and a public FAQ.
TutorialKart is a site offering free online courses and learning tutorials. It covers topics including programming, databases, SAP, Salesforce, web development, mathematics and physics, with beginner-friendly tutorials, quick references and practical examples organized by technology.
Academo is a free online education platform that provides interactive, browser-based educational demos and tools. It covers subjects including Engineering, Geography, Mathematics, Music, and Physics, and requires no user registration or sign-in to access content.
CEMC Courseware is a free online collection of mathematics and computer science materials from the University of Waterloo's CEMC. It offers lessons, interactive activities, enrichment challenges and practice with immediate feedback, covering Grades 4 to 12. No registration is required. The page states that no certificate or credential is awarded and that personal progress cannot be tracked.
CSES Problem Set is a collection of programming tasks organized into categories including introductory problems, sorting and searching, dynamic programming, graph algorithms, range queries, tree algorithms, mathematics and string algorithms. The page lists tasks with solved and attempt counts and offers account creation and login.
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.
emel is a simple and functional machine learning library built for the Erlang ecosystem and implemented in Gleam. It turns data into functions and supports installing through rebar.config, mix.exs or gleam add. Implemented algorithms include linear regression, k nearest neighbors, decision tree, naive Bayes, k means, perceptron, logistic regression and neural network, along with mathematics, algebra, geometry and statistics.
Math Notepad is a web-based mathematical editor for performing calculations and plotting graphs. It supports real and complex numbers, matrices, and units. The tool automatically updates dependent calculations when expressions are changed, and is designed for engineers, students, and pupils. It is powered by the math.js library and is the successor of SpeQ Mathematics.
Math Planet is a free platform for learning mathematics, offering high school courses in Pre-algebra, Algebra 1, Algebra 2 and Geometry, plus SAT and ACT preparation with practice tests and tips. It is run by Mattecentrum, a non-profit organization.
NumberFields@home is a research project that uses Internet-connected computers to do research in number theory, with participants downloading and running a free program. It searches for fields with special properties, with the primary application in algebraic number theory. It is based at the school of mathematics at Arizona State University and uses BOINC.
A large online directory of thousands of free e-books on science and technology subjects, including computer science, medical science, mathematics, physics and biology. Users can upload their own books, which are checked before being added, or request a book. Links are listed by publisher and category with a download link for each title.
Stack Exchange operates a network of over 180 community-powered question-and-answer websites covering a wide range of specialized topics. Users can ask and answer questions on niche subjects across the network's sites, which include communities for mathematics, physics, law, programming, and other fields.
