A

MANUAL


OF

MULTIVECTORS

by

Norman Hugh Redington

Being
A New and Completely Revised Edition of

A MANUAL OF QUATERNIONS (1905)
by Charles Jasper Joly, Late Royal-Astronomer of Ireland

MODERNISED

To Reflect More-Recent Developments in
CLIFFORD'S GEOMETRIC ALGEBRA
2013

TABLE OF CONTENTS:
  1. THE ADDITION AND SUBTRACTION OF VECTORS.
  2. MULTIPLICATION AND DIVISION OF VECTORS AND MULTIVECTORS.
  3. FORMULÆ AND INTERPRETATIONS DEPENDING ON PRODUCTS OF VECTORS.
  4. APPLICATIONS TO PLANE AND SPHERICAL TRIGONOMETRY.
  5. GEOMETRY OF THE STRAIGHT LINE AND PLANE.
  6. THE SPHERE.
  7. DIFFERENTIATION.
  8. LINEAR AND VECTOR FUNCTIONS.
  9. QUADRIC SURFACES.
  10. GEOMETRY OF CURVES AND SURFACES.
  11. STATICS.
  12. FINITE DISPLACEMENTS.
  13. STRAIN.
  14. DYNAMICS OF A NON-RELATIVISTIC PARTICLE.
  15. DYNAMICS.
  16. THE OPERATOR ∂.
  17. PROJECTIVE GEOMETRY.
  18. NON-RELATIVISTIC QUANTUM MECHANICS.
  19. THE SPECIAL THEORY OF RELATIVITY.
  20. RELATIVISTIC QUANTUM MECHANICS.
  21. THE GENERAL THEORY OF RELATIVITY.

THE NET ADVANCE OF PHYSICS