Tripos

This is an repository for Cambridge Maths tripos lecture notes, taken by a second year mathmo.

Inspired by some of my great predecessors, I started to live-LaTeX notes during lectures since Michaelmas, 2017. In addition, there are some other notes or summaries I made while reading. More information about me can me found on my Cambridge homepage.

Content

Currently, the repository contains the following course notes.

Part IB

Active development
Complex Analysis
Numerical Analysis
Geometry
Completed
- Groups, Rings and Modules
- Analysis II
- Linear Algebra
- Markov Chains
Incomplete
- Complex Methods
- Methods
- Quantum Mechanics
Early development
- Metric and Topological Spaces
- Optimisation

Part II

Active development
- Logic and Set Theory
- Differential Geometry
- Number Fields
- Galois Theory
Very incomplete
- Dynamical Systems
- Integrable Systems
- Graph Theory
- Automata and Formal Languages

The following are some notes I made while reading Dummit and Foote, 3rd Edition. They roughly form a superset of IID Galois Theory:

Field Theory
Galois Theory

Usage

header.tex and logo.jpg are put in the root directory and symlinked to all subdirectories. To compile use lualatex.

Reporting an issue

If you notice a mistake, want to suggest an advice or have any issue in general, please create an issue on GitHub or contact me by email or by any other means.

License

MIT License