Tutorials

Long-form, narrative walkthroughs. Each one builds up a topic step by step with the public API and checks the numbers it produces against known closed-form or published results. For short, single-topic scripts, see the example gallery.

Start with Units and Conventions: it explains the natural unit system each subpackage computes in, and how to convert results to SI.

Getting started

• Units and Conventions

Mechanics & Dynamics

• Measuring Chaos: Lyapunov Exponents and Fractal Dimensions
• Black Holes, Orbits and Ringdowns in Geometrized Units
• Polytropic Stellar Models and the Lane-Emden Equation
• N-Body Orbits, Hohmann Transfers, and Galactic Rotation Curves
• Relativistic Two-Body Decay Kinematics
• Radioactive Decay Chains, Rutherford Scattering, and Nuclear Binding

Waves & Fields

• Plasma Physics from One Particle to Kinetic Theory
• Simulating Wave Propagation with FDTD
• Creating a Quantized Vortex in a Rotating BEC
• Laser Cavity Stability and the Fundamental Gaussian Mode
• Wigner Functions and Squeezed Light

Quantum & Statistical

• Random Matrix Universality: Semicircles, Level Repulsion and the Edge
• Graphene and the Haldane Model
• The SSH Model and Topological Edge States
• Semiclassical Wavepacket Propagation
• Reconstructing a Spectrum from a Single Periodic Orbit
• Statistical Mechanics Deep Dives

Fluids

• A Tour of Fluid Flow Regimes, Checked Against Exact Solutions