Mathematics
General
- Foundations of Mathematics
- Making Mathematics Visible: Visualizing Modular Multiplication Tables Through Curve Stitching
- American Institute of Mathematics Approved Textbooks (freely available)
- EuclideanSpace - Mathematics and Computing
- Clear Physics
Interactive mathematics
- Geogebra based courses:
- https://www.geogebra.org/u/institute-mei
- http://mei.org.uk/geogebra-tasks
- Geogebra tutorials: https://www.geogebra.org/m/t6v92Gdz
- Video lecture courses with interactive content: https://lmqm.xyz
- JSXGraph
- Tungsteno IO - Interactive Math
N-dimensional spaces
- Hamming The Art Of Doing Science And Engineering - Chapter 9
- There’s Plenty of Room in the Corners - Interactive Observable notebook
- Conformal Models of the Hyperbolic Geometry - Slides
Analysis
- Course notes from Cambridge analysis 1 course
- Course notes from above course but more recent - this includes a very good introduction of the subject
- Poetic and beautiful mathematical proofs
- Complex Analysis
Calculus
- Active Calculus - open-source texts designed for active learning of calculus
- Open Calculus - open source calculus resources
- Calculus One MOOC
- Calculus Blue by Robert Ghist - comic style calculus - covers basic to advanced concepts
- THE MATHEMATICS OF DIFFUSION
- The Calculus Of Finite Differences by Thomson, L. M. Milne
- It’s just calculus and convexity
Convex Optimization
Category theory
- Applied Category Theory Course
- Seven Sketches in Compositionality: An Invitation to Applied Category Theory
Geometric Algebra
- Geometric Algebra For Computer Science, An Object Oriented Approach to Geometry
- Geometric Algebra Resources from University of Cambridge
- BiVector.net - Accompanying YouTube videos
- Tensor Calculus
- CS 15-458/858: Discrete Differential Geometry
- What is the Inverse of a Vector?
Tools
Lie Groups
- Lie theory for the roboticist - Very good introduction. Shorter version Cheatsheet Paper
Tools
Complex Systems
- Nonlinear Dynamics 1: Geometry of Chaos
- Stochastic Calculus, Lent 2016
- Stochastic Calculus, Filtering, and Stochastic Control
- Stochastic Calculus: An Introduction with Applications
- Financial Calculus: An Introduction to derivative pricing
- Multi-Period Trading via Convex Optimization
Mathematics for Social Justice
Books
- Mathematics for Social Justice: Resources for the College Classroom
- Many books related to mathematical topics like Logic and Computation, Geometric Modeling
- CALCULUS MADE EASY BY SILVANUS P. THOMPSON WHAT ONE FOOL CAN DO, ANOTHER CAN.