JSH · PHM ● Active
Core Physics & Mathematics
The mathematical methods and physical principles behind complex systems — free, self-paced, and built for two audiences: undergraduates building real mastery, and graduate applicants preparing for qualifying exams.
7
Subject areas
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Two ways through the material.
Foundations builds understanding in sequence. Qualifying-exam prep is reference-style — jump straight to what you need.
Mathematical Methods
6 chapters · Vector analysis; Linear algebra; Complex analysis; Differential equations; Fourier analysis; Special functions
Classical Mechanics
5 chapters · Newtonian & Lagrangian methods
Electromagnetism
6 chapters · Maxwell's equations to radiation
Quantum Mechanics
14 chapters · Wavefunctions to perturbation theory
Thermodynamics & Statistical Mechanics
Soon · Entropy, ensembles, phase transitions
Solid State Physics
7 chapters · From crystal structure to density functional theory
Nuclear Physics
6 chapters · From basics to the force between nucleons
Materials are provided free for personal, non-commercial study — download, watch, or print without an account. Video lectures include downloadable notes; problem sets include full worked solutions.