Introduction

Excerpts

• Introduction

  By “Vector Analysis” is meant a space analysis in which the vector is the fundamental idea; by “Quaternions” is meant a space-analysis in which the quaternion is the fundamental idea.

• Introduction

  Every proposition about quantities in space ought to remain true when restricted to a plane; just as propositions about quantities in a plane remain true when restricted to a straight line.

• Introduction

  This space analysis is a universal Cartesian analysis, in the same manner as algebra is a universal arithmetic.

• Introduction

  It also has this advantage that it can express the directed quantity by a linear function of the coordinates, instead of in a roundabout way by means of a quadratic function.

Equations

Problems

No exercises in this chapter.