zulysi / tripos

Cambridge Maths Tripos notes

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