Maths for (Games) Programmers
Section 6 - Multivector Physics

    Introduction

Physical Units
    Length
    Charge
          The Fine Structure Constant
    Composite Units
          Non-S.I. Units     Planck System
    Notable lengths
          Time Quantisation
    Notable masses
    Notable speeds
    Conclusions

Multivector Kinematics and Dynamics
    Introduction
    Kinematics
          Stances     Composing Stances     Kinematics     U_N Spinor Representation     GHC spinor form     Subbody motion
    Rigid Body Dynamics
          Rigid Bodies     Kinetic Energy     BiMomentum
    Inertia Tensors
          N-D Inertia 2-Multiform     Inertia Tensors for Particular 2D Laminae     Inertia Tensors For Particular 3D Bodies
    Multi-Particle Systems
    Multiparticle Potentials
    Rigid Body Moving Through a fluid

Fluid Mechanics
    Introduction
    Classical Flows
          Classical Pressure     Small peturbation sound waves     Navier-Stokes     Vorticity     Circulation     Reynolds Number
    Complex Potential
          Stream Function     Velocity Potential     Complex representations of 2D Flows     Complex Potential     Uniform ² Flow Past a Circular Boundary     Circular ² Flow Past a Circular Boundary     Â^N flow around hypershpehrical boundary     Biimpulse exerted on a 2D boundary
    Conformal flow warping
          ² Flow Past a sharp edged 2D Boundary     Joukowski-Kutta Condition     Aerofoil Waffle     Lift Proportionate to v²     Force Velocity Coefficients     Torque Velocity Coefficients     Bimpulses due to spin     Propellers     Body Frame Coefficients     Speed of Sound     Body as rigid amalgamation of simpler subbodies
    Leftovers
          Problems with 1-flows      Flow rond moving sphere

Extremal M-Curves
          Euler-Lagrange Equations     Generalised Momentum     Extremal surfaces

References/Source Material for Multivector Physics


Glossary   Contents   Author
Copyright (c) Ian C G Bell 1998, 2014
Web Source: www.iancgbell.clara.net/maths
Latest Edit: 15 Jun 2014.