A Primer Of Quaternions

The contents of the book are as follows

1. Steps

Definitions and Theorems

Centre of Gravity

Curve Tracing, Tangents

Parallel Projection

Step Proportion

Examples

2. Rotations. Turns. Arc Steps

Definitions and Theorems of Rotation

Definitions of Turn and Arc Steps

Examples

3. Quaternions

Definitions and Theorem

Examples

Multiplication

The Rotator q()q-1

Powers and Roots

Representation of Vectors

Examples

Addition

Formulas

Geometric Theorems

Examples

4. Equations of First Degree

Scalar Equations, Plane and Straight Line

Examples

Nonions

Vector Equations, the Operator φ

Linear Homogeneous Strain

Finite and Null Strains

Solution of φρ = δ

Derived Moduli. Latent Roots

Latent Lines and Planes

The Characteristic Equation

Conjugate Nonions

Self-conjugate Nonions

Examples