Dorian’s Math

A mathematical notebook

A little intuition. A little rigour.

Notes on calculus, linear algebra, probability, and the pleasure of finally seeing why.

01 / Subjects

Subjects

Different doors into the same habit of asking why.

Calculus

Change, accumulation, and what happens when we look a little closer.

0 notes

Linear algebra

Spaces, maps, and the geometry hiding inside a matrix.

0 notes

Discrete mathematics

Proofs, counting, graphs: small building blocks with surprisingly long consequences.

0 notes

02 / Reading paths

Reading paths

Courses and books to think alongside. One note can belong to several journeys.

Gilbert Strang · MIT OpenCourseWare

MIT 18.06

A route through linear algebra, connecting calculation with the spaces it describes.

A personal reading route
Sheldon Axler · Fourth edition

Linear Algebra Done Right

An abstract companion: start with vector spaces and ask what linear maps really preserve.

A personal reading route
3Blue1Brown · Grant Sanderson

Essence of linear algebra

Build a geometric picture, then return to the symbols with something to recognise.

A personal reading route
UC Berkeley · Discrete Mathematics and Probability Theory

CS70

The mathematical foundations behind computing: proof, discrete structure, and probability.

A personal reading route

03 / Notes

On the desk

All notes

No published notes yet.

The shelves are ready. The notes will arrive as I work through them.