Maths Notes


These are summary notes I wrote for some of my university mathematics modules. The notes were made with Typst. The template used is available here. If you notice a mistake in any of these notes, feel free to create an issue or submit a pull request on this website's GitHub repository.

With the exception of the Durham: Year 2 notes, you can choose which kinds of items (theorems, lemmas, definitions, proofs, etc.) are shown in the compiled document, by adding the relevant items to the hidden argument of the template, e.g. to hide proofs and remarks:

#show: doc => template(doc, hidden: ("proof", "remark"))

This can be useful e.g. if you simply want to memorise just the definitions or just the results.

Cambridge: Part III

Additive Combinatorics

Created: 09/10/2024 | Edited: 13/01/2025

Combinatorics

Created: 09/10/2024 | Edited: 04/02/2025

Concentration Inequalities

Created: 23/01/2025 | Edited: 20/02/2025

Entropy Methods in Combinatorics

Created: 23/01/2025 | Edited: 20/02/2025

Information Theory

Created: 17/10/2024 | Edited: 14/01/2025

Logic And Computability

Created: 11/10/2024 | Edited: 13/01/2025

Quantum Computation

Created: 14/10/2024 | Edited: 13/01/2025

Quantum Entanglement

Created: 03/02/2025 | Edited: 05/02/2025

Quantum Information Theory

Created: 27/01/2025 | Edited: 21/02/2025

Ramsey Theory

Created: 09/10/2024 | Edited: 13/01/2025

Durham: Year 3

Analysis

Created: 29/09/2023 | Edited: 25/10/2024

Cryptography and Codes

Created: 29/09/2023 | Edited: 25/10/2024

Galois Theory

Created: 13/10/2023 | Edited: 25/10/2024

Number Theory

Created: 04/10/2023 | Edited: 23/12/2024

Quantum Computing

Created: 29/09/2023 | Edited: 25/10/2024

Topology

Created: 29/09/2023 | Edited: 25/10/2024

Durham: Year 2

Algebra

Created: 01/04/2023 | Edited: 02/06/2023

Analysis in Many Variables

Created: 31/03/2023 | Edited: 02/06/2023

Complex Analysis

Created: 31/03/2023 | Edited: 02/06/2023

Data Science and Statistical Computing

Created: 02/06/2023 | Edited: 02/06/2023

Elementary Number Theory

Created: 13/04/2023 | Edited: 02/06/2023

Mathematical Physics

Created: 04/04/2023 | Edited: 02/06/2023

Numerical Analysis

Created: 05/04/2023 | Edited: 02/06/2023