Maths Notes

This page contains PDFs and LaTeX source files for my notes on the courses in the Cambridge Maths Tripos. To build these LaTeX files, you will need the util.sty source file in the parent directory relative to the TeX source files. If you find any errors, please send a pull request on GitHub! For STEP solutions, visit this page.

Part IA

Part IA Book PDF HTML

Michaelmas

Numbers and Sets PDF HTML
Differential Equations PDF HTML
Groups PDF HTML
Vectors and Matrices PDF HTML

Lent

Dynamics and Relativity PDF HTML
Probability PDF HTML
Vector Calculus PDF HTML
Analysis I PDF HTML

Part IB

Part IB Book PDF HTML

Easter

Optimisation PDF HTML
Variational Principles PDF HTML

Michaelmas

Markov Chains PDF HTML
Analysis and Topology PDF HTML
Methods PDF HTML
Quantum Mechanics PDF HTML
Linear Algebra PDF HTML

Lent

Groups, Rings and Modules PDF HTML
Complex Analysis PDF HTML
Geometry PDF HTML
Statistics PDF HTML

Part II

Part II Book PDF HTML

Michaelmas

Algebraic Topology PDF HTML
Probability and Measure PDF HTML
Graph Theory PDF HTML
Automata and Formal Languages PDF HTML
Galois Theory PDF HTML

Lent

Coding and Cryptography PDF HTML
Quantum Information and Computation PDF HTML
Number Fields PDF HTML
Algebraic Geometry PDF HTML
Logic and Set Theory PDF HTML

Part III

Part III Book PDF HTML

Michaelmas

Category Theory PDF HTML
Commutative Algebra PDF HTML
Algebraic Geometry PDF HTML
Model Theory and Non-Classical Logic PDF HTML

Lent

Group Cohomology PDF HTML
Large Cardinals PDF HTML
Forcing and the Continuum Hypothesis PDF HTML