I The Universe as a set of harmonic oscillators
Chapter 2 – Simple harmonic oscillators
Chapter 3 – Occupation number representation
Chapter 4 – Making second quantization work
II Writing down Lagrangians
Chapter 5 – Continuous systems
Chapter 6 – A first stab at relativistic quantum mechanics
Chapter 7 – Examples of Lagrangians, or how to write down a theory
III The need for quantum fields
Chapter 8 – The passage of time
Chapter 9 – Quantum mechanical transformations
Chapter 11 – Canonical quantization of fields
Chapter 12 – Examples of canonical quantization
Chapter 13 – Fields with many components and massive electromagnetism
Chapter 14 – Gauge fields and gauge theory
Chapter 15 – Discrete transformations
IV Propagators and perturbations
Chapter 16 – Propagators and Green’s functions
Chapter 17 – Propagators and fields
Chapter 19 – Expanding the S-matrix: Feynman diagrams
Chapter 20 – Scattering theory
V Interlude: wisdom from statistical physics
Chapter 21 – Statistical physics: a crash course
Chapter 22 – The generating functional for fields
VI Path integrals