Download PDF

Points, lines and affine transformations

Euclidian transformations, lengths and angles

Volumes, perimeters and surface areas

2D polygons

3D polygons

Algebraic geometry and spheres

Group theory

Rings

Fields

Vector spaces

Linear endomorphisms

Linear forms

Linear maps

Cross products and the Hodge star operator

Lie algebra

Exterior algebra

Tensors

Infinite-dimensional vector spaces

Exterior calculus

Calculus of variations

Topology of finite sets

Topological manifolds

Differentiable manifolds

Riemann manifolds

Measure space

Graph theory

Category theory

Projective geometry

Please select a chapter from the left.

This is a live document, and is full of gaps, mistakes, typos etc.